Fraction to Decimal Conversion Worksheet

Mental maths lesson 26: Fractions as decimals by heart · Set 10 · 40 questions

How to do it in your head (Know the families): Quarters, fifths, eighths: 1/4 = 0.25, 1/5 = 0.2, 1/8 = 0.125 — multiply by the top number. Ninths repeat the top number (4/9 = 0.444…); elevenths repeat 9 × the top (3/11 = 0.2727…). Sevenths use the digits 142857 in a circle: start at the first digit of 10 × top ÷ 7.

1. 1.Which decimal is 5/7? (a) 0.142857… (b) 0.285714… (c) 0.714285… (d) 0.857142…
2. 2.Which decimal is 8/11? (a) 0.6363… (b) 0.7272… (c) 0.72 (d) 0.888…
3. 3.1/4 as a decimal =
4. 4.Which decimal is 1/7? (a) 0.571428… (b) 0.285714… (c) 0.142857… (d) 0.428571…
5. 5.Which decimal is 8/9? (a) 0.8 (b) 0.888… (c) 0.7272… (d) 0.777…
6. 6.Which decimal is 7/11? (a) 0.6363… (b) 0.63 (c) 0.7272… (d) 0.777…
7. 7.Which decimal is 6/11? (a) 0.54 (b) 0.5454… (c) 0.6363… (d) 0.666…
8. 8.2/5 as a decimal =
9. 9.1/8 as a decimal =
10. 10.Which decimal is 1/9? (a) 0.111… (b) 0.1 (c) 0.222… (d) 0.0909…
11. 11.Which decimal is 3/7? (a) 0.714285… (b) 0.428571… (c) 0.857142… (d) 0.571428…
12. 12.Which decimal is 6/7? (a) 0.142857… (b) 0.285714… (c) 0.857142… (d) 0.428571…
13. 13.5/8 as a decimal =
14. 14.3/8 as a decimal =
15. 15.Which decimal is 1/11? (a) 0.0909… (b) 0.111… (c) 0.09 (d) 0.1818…
16. 16.Which decimal is 2/9? (a) 0.333… (b) 0.222… (c) 0.1818… (d) 0.2
17. 17.Which decimal is 3/11? (a) 0.3636… (b) 0.27 (c) 0.333… (d) 0.2727…
18. 18.7/8 as a decimal =
19. 19.1/5 as a decimal =
20. 20.Which decimal is 2/11? (a) 0.2727… (b) 0.18 (c) 0.222… (d) 0.1818…
21. 21.Which decimal is 4/7? (a) 0.857142… (b) 0.714285… (c) 0.571428… (d) 0.142857…
22. 22.4/5 as a decimal =
23. 23.Which decimal is 4/11? (a) 0.444… (b) 0.3636… (c) 0.4545… (d) 0.36
24. 24.Which decimal is 5/11? (a) 0.555… (b) 0.5454… (c) 0.45 (d) 0.4545…
25. 25.3/4 as a decimal =
26. 26.3/5 as a decimal =
27. 27.5/8 as a decimal =
28. 28.Which decimal is 6/9? (a) 0.666… (b) 0.5454… (c) 0.6 (d) 0.777…
29. 29.Which decimal is 8/9? (a) 0.8 (b) 0.777… (c) 0.888… (d) 0.7272…
30. 30.Which decimal is 7/9? (a) 0.7 (b) 0.888… (c) 0.777… (d) 0.6363…
31. 31.Which decimal is 2/7? (a) 0.428571… (b) 0.571428… (c) 0.285714… (d) 0.714285…
32. 32.5/8 as a decimal =
33. 33.Which decimal is 3/9? (a) 0.3 (b) 0.444… (c) 0.2727… (d) 0.333…
34. 34.3/4 as a decimal =
35. 35.Which decimal is 5/9? (a) 0.555… (b) 0.4545… (c) 0.5 (d) 0.666…
36. 36.3/8 as a decimal =
37. 37.Which decimal is 1/11? (a) 0.1818… (b) 0.0909… (c) 0.09 (d) 0.111…
38. 38.3/4 as a decimal =
39. 39.Which decimal is 4/9? (a) 0.4 (b) 0.555… (c) 0.3636… (d) 0.444…
40. 40.Which decimal is 2/7? (a) 0.571428… (b) 0.285714… (c) 0.714285… (d) 0.428571…

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