Fractions Study Guide



528637540005Numerator 4Denominator 500Numerator 4Denominator 5Fractions Study Guide.403669555245To convert improper fractions, divide the numerator by the denominator. Your remainder becomes your new numerator in your mixed number. The denominator stays the same.00To convert improper fractions, divide the numerator by the denominator. Your remainder becomes your new numerator in your mixed number. The denominator stays the same.If necessary, convert improper fractions and simplify.*Examples:19/1519÷15 = 1 with a remainder of 4Answer: 1 4/15SimplifyingTo simplify a fraction, you need to reduce it to the smallest terms possible by dividing the numerator and denominator by the same number.Example:6/8 The numerator and denominator can both be divided by 2.6 ÷ 2 = 38 ÷ 2 = 4Answer: ?More examples: 4/12 ÷ 4 = 1/366/99 ÷ 33 = 2/3Multiplying fractionsTo multiply fractions, simply multiply the numerators then multiply the denominators.Example: 2 x 4 = 8 10 x 5 = 50 = 25**Simplified5 x 9 = 4518 x 8 144 = 72Multiplying Mixed NumbersTo multiply mixed numbers, you must first change the mixed number to an improper fraction.Then you can multiply the numerators and then the denominators. Simplify your answer by converting improper fractions into mixed numbers and writing your fractions in lowest terms.3244215132715To change a mixed number to an improper fraction, multiply the denominator by the whole number and add the numerator. The resulting answer is your new numerator. The denominator stays the same.1 ? = (2 x 1) + 1 = 3 (numerator) 2 (denominator)020000To change a mixed number to an improper fraction, multiply the denominator by the whole number and add the numerator. The resulting answer is your new numerator. The denominator stays the same.1 ? = (2 x 1) + 1 = 3 (numerator) 2 (denominator)Example:1 ? x 2 ? = ____3 x 9 = 272 4 827÷ 8 = 3 with a remainder of 3 Answer: 3 3/8Dividing FractionsTo divide fractions, flip the numbers in the second fraction and change the divide sign to a multiplication sign.Multiply the numerators then multiply the denominators.Simplify.Example: ? ÷ ? = ____? x 2?1 = 6?46 ÷ 4 = 1 with a remainder of 2Answer: 1 2/4 Simplified: 1 ? Dividing Mixed NumbersTo divide mixed numbers, first change the mixed number to an improper fraction. Follow the rules for dividing fractions.Example: 2 ? ÷ 1 ? = ____5/2 x 3/2 = 15/415 ÷ 4 = 3 with a remainder of 3Answer: 3 ? ................
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