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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 715 · 40 sums
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The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Which is smaller: −1/3 or 6/7? (a) −1/3 (b) 6/7
  2. 2.What is (−2/9) + (−5/7)? (a) 59/63 (b) 31/63 (c) −7/16 (d) −59/63
  3. 3.Which is smaller: −8/9 or 1/4? (a) 1/4 (b) −8/9
  4. 4.What is (−1/7) + (−1/9)? (a) −2/63 (b) −16/63 (c) 16/63 (d) −1/8
  5. 5.What is (−8/9) + 2/9? (a) 2/3 (b) −2/3 (c) −1/3 (d) −10/9
  6. 6.What is (−5/7) − 5/8? (a) −75/56 (b) −5/56 (c) −2/3 (d) 75/56
  7. 7.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  8. 8.Is 4/(−3) positive or negative? (a) Negative (b) Positive
  9. 9.What is (−2/3) + (−5/9)? (a) 11/9 (b) −7/12 (c) −11/9 (d) −1/9
  10. 10.What is (−2/7) + 1/6? (a) −19/42 (b) 5/42 (c) −5/42 (d) −1/13
  11. 11.What is 8/9 − (−1/6)? (a) −19/18 (b) 19/18 (c) 3/5 (d) 13/18
  12. 12.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) −8 (c) −1/8 (d) 8
  13. 13.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −2/1 (d) −5/10
  14. 14.Which is smaller: −1/7 or −7/9? (a) −7/9 (b) −1/7
  15. 15.Which is smaller: −5/9 or −2/9? (a) −2/9 (b) −5/9
  16. 16.What is 2/5 + (−2/3)? (a) 0 (b) 16/15 (c) 4/15 (d) −4/15
  17. 17.What is (−1/7) + 1/5? (a) 0 (b) 2/35 (c) −2/35 (d) −12/35
  18. 18.Which is bigger: −2/9 or 4/5? (a) 4/5 (b) −2/9
  19. 19.What is (−1/7) + (−5/6)? (a) 41/42 (b) 29/42 (c) −41/42 (d) −6/13
  20. 20.Which is smaller: −3/5 or −2/5? (a) −2/5 (b) −3/5
  21. 21.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −18/21 (c) −6/7 (d) 6/7
  22. 22.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  23. 23.What is the additive inverse of 5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  24. 24.Which is bigger: −3/4 or −4/7? (a) −3/4 (b) −4/7
  25. 25.Write −10/16 in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) −10/16 (d) 5/8
  26. 26.What is the reciprocal (multiplicative inverse) of −1/2? (a) −2 (b) −1/2 (c) 1/2 (d) 2
  27. 27.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  28. 28.What is the additive inverse of −1/6? (a) 6 (b) −6 (c) −1/6 (d) 1/6
  29. 29.Which is bigger: −3/5 or 1/8? (a) 1/8 (b) −3/5
  30. 30.What is 3/5 − (−1/3)? (a) 14/15 (b) 4/15 (c) 1/2 (d) −14/15
  31. 31.Is 8/2 positive or negative? (a) Positive (b) Negative
  32. 32.What is 3/7 + (−1/9)? (a) 34/63 (b) 1/8 (c) 20/63 (d) −20/63
  33. 33.Which is smaller: −1/7 or −3/7? (a) −3/7 (b) −1/7
  34. 34.What is (−1/6) − (−3/4)? (a) −7/12 (b) 1/5 (c) −11/12 (d) 7/12
  35. 35.What is the additive inverse of 4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  36. 36.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  37. 37.What is (−1/2) − 1/7? (a) −9/14 (b) 9/14 (c) −5/14 (d) −2/9
  38. 38.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  39. 39.Which is bigger: −1/3 or 3/7? (a) −1/3 (b) 3/7
  40. 40.Which is bigger: −2/5 or −2/3? (a) −2/5 (b) −2/3

Answer key

  1. −1/3
  2. −59/63
  3. −8/9
  4. −16/63
  5. −2/3
  6. −75/56
  7. 6
  8. Negative
  9. −11/9
  10. −5/42
  11. 19/18
  12. 8
  13. −1/2
  14. −7/9
  15. −5/9
  16. −4/15
  17. 2/35
  18. 4/5
  19. −41/42
  20. −3/5
  21. −6/7
  22. 2/5
  23. −5/9
  24. −4/7
  25. −5/8
  26. −2
  27. Negative
  28. 1/6
  29. 1/8
  30. 14/15
  31. Positive
  32. 20/63
  33. −3/7
  34. 7/12
  35. −4/9
  36. 7/3
  37. −9/14
  38. Negative
  39. 3/7
  40. −2/5

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