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1 Identify a fraction as part of a wholeName the shaded fraction represented in each fraction bar. -1904228600044386570435600-3175228600044386569483100-444538100044450086882100-6350228610044450088596600-1905228600044450088342600-38102286000444500868821002 Compare fractions with either the same denominator or same numeratorWrite < or >. 1221235338100 EQ \F(1,5) EQ \F(1,2) 1285284886000 EQ \F(1,4) EQ \F(1,9) 1284725343700 EQ \F(3,8) EQ \F(3,7) 1251865362600 EQ \F(6,7) EQ \F( 6,11) 3 Order fractions with either the same denominator or same numeratorOrder each set of fractions from smallest to largest. 8686801587500134112014605001812925139700022872701537400 EQ \F(1,4) , EQ \F(1,9) , EQ \F(1,3) , EQ \F(1,6) 8686801397000134112014605001812925139700022872701537400 EQ \F(4,15) , EQ \F(4,9) , EQ \F(4,12) , EQ \F(4,5) 4 Add fractions with the same denominator within 1 EQ \F(3,7) + EQ \F(1,7) = EQ \F(1,5) + EQ \F(2,5) = EQ \F(3,10) + EQ \F(2,10) = EQ \F(2,9) + EQ \F(5,9) = 5 Subtract fractions with the same denominator within 1 EQ \F(6,8) – EQ \F(1,8) = EQ \F(5,6) – EQ \F(4,6) = EQ \F(6,7) – EQ \F(2,7) = EQ \F(4,9) – EQ \F(1,9) = 6 Solve missing number problems for addition and subtraction of fractions with the same denominator within 12522452200500 EQ \F(1,6) + = EQ \F(5,6) 2514761823400 EQ \F(1,3) + = EQ \F(2,3) 2526181759300 EQ \F(5,8) – = EQ \F(1,8) 2511991759300 EQ \F(5,9) – = EQ \F(2,9) 7 Recognise pairs of fractions that add up to 12509741766800 EQ \F(1,3) + = 12495551766800 EQ \F(1,8) + = 12526181766800 EQ \F(5,6) + = 12511991766800 EQ \F(2,5) + = 18 Count up in halves, thirds and quarters beyond 1For each diagram, write the equivalent mixed number or improper fraction shown. 14751692286000136467927940 00 195014917780 00 798131388620 00 936689383540 00 1627377388620 00 9 Convert mixed numbers to improper fractionsConvert each mixed number to an improper fraction. 1 EQ \F(1,3) = 2 EQ \F(3,5) = 4 EQ \F(3,4) = 10 Convert improper fractions to mixed numbersConvert each improper fraction to a mixed number. EQ \F(8,5) = EQ \F(11,3) = EQ \F(21,8) = 11 Add fractions with the same denominator beyond 1 whole, writing the answer as a mixed number EQ \F(5,6) + EQ \F(2,6) = EQ \F(4,5) + EQ \F(4,5) = EQ \F(6,7) + EQ \F(5,7) = EQ \F(4,8) + EQ \F(5,8) = 12 Subtract a fraction from an improper fraction or mixed number with the same denominator and with 1 whole1 EQ \F(2,7) – EQ \F(4,7) = 1 EQ \F(1,5) – EQ \F(2,5) = 1 EQ \F(1,8) – EQ \F(3,8) = 1 EQ \F(2,6) – EQ \F(5,6) = 13 Solve missing number problems for addition and subtraction of fractions with the same denominator beyond 132956517145001 EQ \F(1,3) – = EQ \F(2,3) -3937022225 00 – EQ \F(3,4) = EQ \F(2,4) -374652222500 + EQ \F(4,9) = 1 EQ \F(2,9) 14 Add a fraction to a whole number and subtract a fraction from a whole number5 + EQ \F(2,3) = 1 – EQ \F(1,5) = 1 – EQ \F(5,7) =3 – EQ \F(5,6) = 3 – EQ \F(1,5) = 5 – EQ \F(5,7) = 15 Add a fraction to a mixed number with the same denominator, without regrouping1 EQ \F( 5,12) + EQ \F( 6,12) = 2 EQ \F(2,4) + EQ \F(1,4) = 2 EQ \F(1,7) + EQ \F(4,7) = 16 Add a fraction to a mixed number with the same denominator, regrouping to make 1 more wholeAnswer the questions below by regrouping to make 1 more whole. 2 EQ \F(2,5) + EQ \F(3,5) = 2 EQ \F(3,4) + EQ \F(2,4) = 1 EQ \F(3,6) + EQ \F(5,6) = 17 Add a fraction to a mixed number with the same denominator by converting to an improper fractionNow answer the questions above by converting mixed numbers to improper fractions. 18 Add mixed numbers with the same denominator, without regrouping3 EQ \F(1,3) + 2 EQ \F(1,3) = 2 EQ \F(4,9) + 1 EQ \F(1,9) = 19 Add mixed numbers with the same denominator, regrouping to make 1 more wholeAnswer the questions below by regrouping to make 1 more whole. 2 EQ \F(3,4) + 1 EQ \F(2,4) = 2 EQ \F(4,5) + 2 EQ \F(3,5) = 20 Add mixed numbers with the same denominator by converting to improper fractionsNow answer the questions above by converting mixed numbers to improper fractions. 21 Subtract a fraction from a mixed number with the same denominator, without regrouping1 EQ \F(11,12) – EQ \F( 9,12) = 3 EQ \F(2,5) – EQ \F(1,5) = 1 EQ \F(6,7) – EQ \F(3,7) = 22 Subtract a fraction from a mixed number with the same denominator, regrouping to make 1 fewer wholeAnswer the questions below by regrouping to make 1 fewer whole. 2 EQ \F(1,4) – EQ \F(2,4) = 3 EQ \F(3,6) – EQ \F(5,6) = 2 EQ \F(1,5) – EQ \F(3,5) = 23 Subtract a fraction from a mixed number with the same denominator by converting to an improper fractionNow answer the questions above by converting mixed numbers to improper fractions. 24 Subtract mixed numbers with the same denominator, without regrouping3 EQ \F(5,8) – 1 EQ \F(1,8) = 2 EQ \F(5,6) – 1 EQ \F(1,6) = 25 Subtract mixed numbers with the same denominator, regrouping to make 1 fewer wholeAnswer the questions below by regrouping to make 1 fewer whole. 2 EQ \F(1,8) – 1 EQ \F(7,8) = 3 EQ \F(2,5) – 1 EQ \F(4,5) = 26 Subtract mixed numbers with the same denominator by converting to improper fractionsNow answer the questions above by converting mixed numbers to improper fractions. 27 Identify equivalent fractions to a half24160911535100186130612950003651251534300133794515343008515351534300 EQ \F(1,2) = EQ \F( ,4) = EQ \F(,6) = EQ \F(,8) = EQ \F(,10) = EQ \F(,12) 28 Use multiplication to find equivalent fractions2402821460500 EQ \F(1,4) = EQ \F(,8) 2705741460500 EQ \F(2,5) = EQ \F(,15) 2423641651000 EQ \F(2,3) = EQ \F(,18) 26729920846000 EQ \F(2,7) = EQ \F(6,) 26289020616900 EQ \F(2,9) = EQ \F(8,) 29 Use division to find equivalent fractions2402821460500 EQ \F(6,8) = EQ \F(,4) 3166111460500 EQ \F( 4,20) = EQ \F(,5) 3102611460500 EQ \F(16,28) = EQ \F(,7) 41148020616900 EQ \F(10,15) = EQ \F(2,) 33591520426400 EQ \F( 9,27) = EQ \F(1,) 30 Find equivalent improper fractions2580281333500 EQ \F(5,2) = EQ \F(,8) 3374031333500 EQ \F(11, 7) = EQ \F(,14) 3102611460500 EQ \F(21,12) = EQ \F(,4) 31 Simplify fractionsSimplify the fractions below to their lowest terms. EQ \F(8,16) = EQ \F(12,16) = EQ \F(20,25) = EQ \F( 6,15) = 32 Compare fractions with denominators as common multiplesWrite < or >. 1947734991600 EQ \F(1,3) EQ \F(2,9) 1953155228700 EQ \F(13,21) EQ \F(5,7) 1348626220400 EQ \F(5,8) EQ \F(17,24) 33 Compare improper fractions with denominators as common multiplesWrite < or >. 1292766218500 EQ \F(7,4) EQ \F(20,12) 1992615376200 EQ \F(29,15) EQ \F(5,3) 34 Order fractions with denominators as common multiplesOrder these fractions from smallest to largest. 8686801587500134112014605001812925139700022872701537400 EQ \F(13,24) , EQ \F(7,12) , EQ \F(3,8) , EQ \F(5,6) 35 Add fractions with denominators as common multiples within 1 EQ \F(2,3) + EQ \F(1,9) = EQ \F(3,5) + EQ \F(7,25) = EQ \F(8,27) + EQ \F(1,9) = 36 Subtract fractions with denominators as common multiples within 1 EQ \F(1,2) – EQ \F(1,8) = EQ \F(3,4) – EQ \F( 5,28) = EQ \F(17,18) – EQ \F(2,3) = 37 Solve missing number problems for addition and subtraction of fractions with denominators as common multiples within 12488791693100 EQ \F(5,6) + = EQ \F(11,12) 2526311693100 EQ \F(2,3) – = EQ \F(4,9) -345621693100 – EQ \F(5,8) = EQ \F(1,4) 38 Add fractions with denominators as common multiples beyond 1 whole, writing answers as mixed numbers EQ \F(4,5) + EQ \F( 4,15) = EQ \F( 9,21) + EQ \F(6,7) = 39 Subtract a fraction from an improper fraction or mixed number with denominators as common multiples and with 1 whole1 EQ \F(1,2) – EQ \F( 7,12) = 1 EQ \F(2,3) – EQ \F(8,9) = 1 EQ \F(1,8) – EQ \F(3,4) = 40 Solve missing number problems for addition and subtraction of fractions with denominators as common multiples beyond 132606818143001 EQ \F(1,8) – = EQ \F(1,4) -383141814300 – EQ \F(2,3) = EQ \F(5,9) -405001814300 + EQ \F(3,4) = 1 EQ \F(1,2) 41 Add a fraction to a mixed number with denominators as common multiples, without regrouping1 EQ \F(1,3) + EQ \F( 7,15) =2 EQ \F(1,2) + EQ \F(1,6) = 1 EQ \F(2,9) + EQ \F(1,3) = 42 Add a fraction to a mixed number with denominators as common multiples, regrouping to make 1 more wholeAnswer the questions below by regrouping to make 1 more whole. 1 EQ \F(2,3) + EQ \F( 7,15) = 2 EQ \F(5,8) + EQ \F(3,4) = 43 Add a fraction to a mixed number with denominators as common multiples by converting to an improper fraction Now answer the questions above by converting mixed numbers to improper fractions. 44 Add mixed numbers with denominators as common multiples, without regrouping2 EQ \F(1,9) + 1 EQ \F(2,3) = 2 EQ \F(1,2) + 2 EQ \F(1,6) = 45 Add mixed numbers with denominators as common multiples, regrouping to make 1 more wholeAnswer the questions below by regrouping to make 1 more whole. 2 EQ \F(5,6) + 2 EQ \F( 7,18) = 2 EQ \F(11,12) + 1 EQ \F(2,3) = 46 Add mixed numbers with denominators as common multiples by converting to improper fractions Now answer the questions above by converting mixed numbers to improper fractions. 47 Subtract a fraction from a mixed number with denominators as common multiples, without regrouping1 EQ \F(3,4) – EQ \F( 5,12) = 2 EQ \F(2,3) – EQ \F( 4,15) = 1 EQ \F(7,8) – EQ \F(1,4) = 48 Subtract a fraction from a mixed number with denominators as common multiples, regrouping to make 1 fewer wholeAnswer the questions below by regrouping to make 1 fewer whole. 2 EQ \F(1,2) – EQ \F( 9,14) = 3 EQ \F(1,6) – EQ \F(1,2) = 49 Subtract a fraction from a mixed number with denominators as common multiples by converting to improper fractionsNow answer the questions above by converting mixed numbers to improper fractions. 50 Subtract mixed numbers with denominators as common multiples, without regrouping2 EQ \F(5,9) – 1 EQ \F(1,3) = 3 EQ \F(1,2) – 1 EQ \F(1,4) = 51 Subtract mixed numbers with denominators as common multiples, regrouping to make 1 fewer wholeAnswer the questions below by regrouping to make 1 fewer whole. 2 EQ \F(1,3) – 1 EQ \F(7,12) = 4 EQ \F( 1,10) – 1 EQ \F(1,5) = 52 Subtract mixed numbers with denominators as common multiples by converting to improper fractionsNow answer the questions above by converting mixed numbers to improper fractions. 53 Find a unit fraction of a number EQ \F(1,3) of 18 = EQ \F(1,4) of 28 = EQ \F(1,7) of 35 = 54 Find a whole quantity given the quantity represented by a unit fraction3022602391200 EQ \F(1,6) of = 73035302498300 EQ \F(1,8) of = 52971802498300 EQ \F(1,9) of = 23047032712600 EQ \F(1,3) of = 2003036352730500 EQ \F(1,6) of = 602968182843100 EQ \F(1,2) of = 7855 Find a quarter by halving twice, or an eighth by halving three times EQ \F(1,2) of 40 = EQ \F(1,4) of 40 = EQ \F(1,8) of 40 = EQ \F(1,2) of 24 = EQ \F(1,4) of 24 = EQ \F(1,8) of 24 = 56 Find a non-unit fraction of a number EQ \F(3,5) of 45 = EQ \F(4,5) of 35 = EQ \F(5,8) of 32 = 57 Find a whole quantity give the quantity represented by a non-unit fraction3087534170400 EQ \F(3,5) of = 153023054306400 EQ \F(3,4) of = 272949174242900 EQ \F(3,7) of = 2158 Express a remainder as a fractionFor each question below, write the remainder as a fraction. 13 ÷ 3 = 15 ÷ 4 = 802 ÷ 5 = 716 ÷ 7 = 59 Find a unit fraction of a number, writing the remainder as a fractionFor each question below, write the answer as a mixed number. EQ \F(1,3) of 11 = EQ \F(1,5) of 17 = EQ \F(1,7) of 22 = 60 Find a non-unit fraction of a number, writing the answer as a mixed numberFor each question below, write the answer as a mixed number. EQ \F(7,8) of 11 = EQ \F(3,4) of 23 = EQ \F(3,5) of 17 = 61 Compare fractions with denominators which are not common multiplesWrite < or >. 1216925609700 EQ \F(1,3) EQ \F(2,7) 1263805592800 EQ \F(5,6) EQ \F(7,8) 1283075865500 EQ \F(3,5) EQ \F(7,12) 62 Compare improper fractions with denominators which are not common multiplesWrite < or >.1316256300800 EQ \F(4,3) EQ \F(7,5) 1210026384800 EQ \F(7,5) EQ \F(3,2) 63 Order fractions with denominators which are not common multiplesOrder these fractions from smallest to largest. 8686801587500134112014605001812925139700022872701537400 EQ \F(1,2) , EQ \F(5,8) , EQ \F(7,12) , EQ \F(2,3) 64 Order improper fractions with denominators which are not common multiplesOrder these fractions from smallest to largest. 8686801587500134112014605001812925139700022872701537400 EQ \F(19,12) , EQ \F(9,5) , EQ \F(16,10) , EQ \F(9,6) 65 Add fractions with denominators which are not common multiples within 1 EQ \F(1,2) + EQ \F(1,6) = EQ \F(1,5) + EQ \F(4,7) = 66 Subtract fractions with denominators which are not common multiples within 1 EQ \F(5,6) – EQ \F(1,4) = EQ \F(3,5) – EQ \F(2,7) = 67 Solve missing number problems for addition and subtraction of fractions with denominators which are not common multiples within 12467441414100 EQ \F(2,5) + = EQ \F(5,6) 2495621414100 EQ \F(1,3) – = EQ \F(1,8) -331242088500 – EQ \F(2,7) = EQ \F(1,8) 68 Add fractions with denominators which are not common multiples beyond 1 whole, writing answers as mixed numbers EQ \F(4,5) + EQ \F(2,3) = EQ \F(7,8) + EQ \F(1,6) = 69 Subtract a fraction from an improper fraction or mixed number with a denominator which is not a multiple of the denominator in the fraction and with 1 whole1 EQ \F(1,3) – EQ \F(1,2) = 1 EQ \F(1,4) – EQ \F(3,5) = 70 Solve missing number problems for addition and subtraction of fractions with denominators which are not common multiples beyond 131962818415001 EQ \F(1,8) – = EQ \F(4,5) -330201907100 – EQ \F(5,8) = EQ \F(5,6) 2508251886700 EQ \F(1,2) + = 1 EQ \F(1,5) 71 Add a fraction to a mixed number with a denominator which is not a multiple of the denominator in the fraction, without regrouping1 EQ \F(3,5) + EQ \F(1,6) = 2 EQ \F(1,3) + EQ \F(3,5) = 72 Add a fraction to a mixed number with a denominator which is not a multiple of the denominator in the fraction, regrouping to make 1 more wholeAnswer the questions below by regrouping to make 1 more whole. 1 EQ \F(3,4) + EQ \F(4,5) = 2 EQ \F(1,2) + EQ \F(6,7) = 73 Add a fraction to a mixed number with a denominator which is not a multiple of the denominator in the fraction by converting to an improper fraction Now answer the questions above by converting mixed numbers to improper fractions. 74 Add mixed numbers with denominators which are not common multiples, without regrouping2 EQ \F(5,6) + 1 EQ \F(1,7) = 2 EQ \F(2,9) + 2 EQ \F(1,2) = 75 Add mixed numbers with denominators which are not common multiples, regrouping to make 1 more wholeAnswer the questions below by regrouping to make 1 more whole. 2 EQ \F(1,2) + 2 EQ \F(3,5) = 2 EQ \F(4,5) + 1 EQ \F(3,4) = 76 Add mixed numbers with denominators which are not common multiples by converting to improper fractions Now answer the questions above by converting mixed numbers to improper fractions. 77 Subtract a fraction from a mixed number with a denominator which is not a multiple of the denominator in the fraction, without regrouping1 EQ \F(6,7) – EQ \F(3,4) = 2 EQ \F(5,9) – EQ \F(1,2) = 78 Subtract a fraction from a mixed number with a denominator which is not a multiple of the denominator in the fraction, regrouping to make 1 fewer wholeAnswer the questions below by regrouping to make 1 fewer whole. 2 EQ \F(1,6) – EQ \F(1,4) = 2 EQ \F(1,2) – EQ \F(2,3) = 79 Subtract a fraction from a mixed number with a denominator which is not a multiple of the denominator in the fraction by converting to an improper fractionNow answer the questions above by converting mixed numbers to improper fractions. 80 Subtract mixed numbers with denominators which are not common multiples, without regrouping2 EQ \F(3,5) – 1 EQ \F(1,3) = 2 EQ \F(7,9) – 1 EQ \F(3,8) = 81 Subtract mixed numbers with denominators which are not common multiples, regrouping to make 1 fewer wholeAnswer the questions below by regrouping to make 1 fewer whole. 3 EQ \F(1,4) – 1 EQ \F(1,3) = 4 EQ \F(2,5) – 1 EQ \F(1,2) = 82 Subtract mixed numbers with denominators which are not common multiples by converting to improper fractions Now answer the questions above by converting mixed numbers to improper fractions. 83 Find the fraction that lies halfway between two fractionsFind the midpoint of EQ \F(4,7) and EQ \F(2,3) . Find the midpoint of EQ \F(2,7) and EQ \F(1,3) .84 Multiply unit fractions EQ \F(1,4) x EQ \F(1,4) = EQ \F(3,4) x EQ \F(1,5) = EQ \F(5,12) x EQ \F(1,2) = 85 Multiply non-unit fractions EQ \F(2,3) x EQ \F(2,3) = EQ \F(2,5) x EQ \F(3,4) = 86 Multiply non-unit fractions, simplifying at the endFor the questions below, simplify your answer after multiplying. EQ \F(4,5) x EQ \F(5,6) = EQ \F(8,10) x EQ \F(4,10) = 87 Multiply non-unit fractions, cross-simplifyingFor the questions below, cross-simplify before multiplying. EQ \F(6,15) x EQ \F(5,12) = EQ \F(5,18) x EQ \F(9,11) = 88 Divide fractions by whole numbers EQ \F(1,4) ÷ 2 = EQ \F(3,4) ÷ 5 = EQ \F(3,10) ÷ 5 = 89 Multiply a fraction by a whole number EQ \F(5,6) x 5 = EQ \F(3,4) x 7 = 90 Multiply a mixed number by a whole number by partitioningComplete the questions below by partitioning whole numbers and fractions. 3 EQ \F(4,5) x 4 = 2 EQ \F(2,3) x 7 = 1 EQ \F(1,4) x 40 = 25 x 1 EQ \F(1,2) = 91 Multiply a mixed number by a whole number using improper fractionsNow complete the questions above by converting each mixed number to an improper fraction. ................
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