Fractions, Decimals and Percentages



Fractions, Decimals and Percentages

Exercise 1: Convert the following decimals into a fraction

(a) 0.2 (b) 0.45 (c) 0.36 (d) 0.125 (e) 1.05 (f) 0.007

Exercise 2: Copy and complete the following table

|Fractions |Decimal |% |

|¼ | | |

| |0.2 | |

| | |80% |

|1/100 | | |

| | |30% |

|1/3 | | |

Exercise 3: Here are some fractions

4/10 11/33 1/5 7/12

Select the one that is:

(a) equal to 0.2 (b) equal to 40% (c) equal to 1/3 (d) greater than ½

Exercise 4:

(a) Change 0.2 into a fraction in its lowest terms

(b) Write down 0.2 × 100

(c) Write down the value of 0.2 ÷ 100.

Exercise 5:

(a) Change 0.15 into a fraction in its lowest terms

(b) Write down 0.15 × 100

(c) Write down the value of 0.15 ÷ 100.

Exercise 6: Change the following fractions into decimals

(a) ¼ (b) 2/5 (c) 3/8 (d) 5/12 (e) 1/6 (f) 2/7

Exercise 7: Arrange the following in order of size (smallest first)

(a) ½, 45% 0.6 (b) 0.38, 6/16, 4% (c) 0.111, 11%, 1/9

(d) 1/3, 0.33, 30% (e) 2/7, 0.3, 29% (f) 0.71, 7/11, 0.705

Exercise 8: Convert the following recurring decimals into fractions

1. 0.6666666….. 5. 0.454545….

2. 0.4444444….. 6. 0.121212….

3. 0.7777777….. 7. 0.123123123…

4. 0.9999999….. 8. 0.899899899…

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