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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 484 · 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.What is (−1/4) − 5/7? (a) −6/11 (b) 27/28 (c) 13/28 (d) −27/28
  2. 2.Write −9/24 in standard form (lowest terms, positive denominator). (a) −9/24 (b) 3/8 (c) −3/8 (d) −8/3
  3. 3.What is the additive inverse of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  4. 4.What is (−6/7) + 6/7? (a) −12/7 (b) 0
  5. 5.What is (−5/6) − (−5/9)? (a) −25/18 (b) 0 (c) 5/18 (d) −5/18
  6. 6.What is (−3/4) + (−2/7)? (a) −13/28 (b) −29/28 (c) 29/28 (d) −5/11
  7. 7.Is −6/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.Which is smaller: −5/6 or −8/9? (a) −5/6 (b) −8/9
  9. 9.What is the additive inverse of −1/3? (a) 1/3 (b) −3 (c) −1/3 (d) 3
  10. 10.Is −9/6 positive or negative? (a) Negative (b) Positive
  11. 11.Which is smaller: −2/3 or 1/5? (a) 1/5 (b) −2/3
  12. 12.Write 4/(−12) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) 1/3 (d) −4/12
  13. 13.What is 1/8 + (−2/5)? (a) −11/40 (b) −1/13 (c) 11/40 (d) 21/40
  14. 14.What is the additive inverse of 4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  15. 15.What is (−6/7) − (−1/2)? (a) 5/14 (b) −5/14 (c) −19/14 (d) −5/9
  16. 16.What is the additive inverse of −1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  17. 17.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −4/32 (b) −1/8 (c) −8/1 (d) 1/8
  18. 18.Is 6/7 positive or negative? (a) Negative (b) Positive
  19. 19.Is 9/(−8) positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) −2/9 (d) 2/9
  21. 21.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  22. 22.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) 5/4 (c) −4/5 (d) 4/5
  23. 23.What is (−1/7) − 8/9? (a) −9/16 (b) −65/63 (c) 47/63 (d) 65/63
  24. 24.Write −5/15 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −5/15 (c) −3/1 (d) 1/3
  25. 25.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −15/27 (c) −9/5 (d) −5/9
  26. 26.What is (−2/5) − 3/5? (a) −1 (b) 1/5 (c) 1 (d) −1/2
  27. 27.What is 7/9 − (−1/7)? (a) −58/63 (b) 1/2 (c) 40/63 (d) 58/63
  28. 28.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −2/9 or −6/7? (a) −6/7 (b) −2/9
  30. 30.What is 1/7 + (−5/7)? (a) 4/7 (b) 6/7 (c) −2/7 (d) −4/7
  31. 31.What is 1/9 + (−7/8)? (a) 55/72 (b) −6/17 (c) 71/72 (d) −55/72
  32. 32.What is the additive inverse of −7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  33. 33.What is (−4/7) − 3/5? (a) 41/35 (b) −41/35 (c) −7/12 (d) 1/35
  34. 34.What is (−1/7) + (−8/9)? (a) −9/16 (b) −65/63 (c) 47/63 (d) 65/63
  35. 35.What is 1/8 − (−1/2)? (a) −3/8 (b) 1/5 (c) −5/8 (d) 5/8
  36. 36.Is 6/(−5) positive or negative? (a) Positive (b) Negative
  37. 37.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) 1/9 (d) −4/36
  38. 38.Write −6/42 in standard form (lowest terms, positive denominator). (a) −6/42 (b) −7/1 (c) 1/7 (d) −1/7
  39. 39.What is the additive inverse of 2/5? (a) 5/2 (b) −2/5 (c) −5/2 (d) 2/5
  40. 40.Write 21/(−24) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −21/24 (c) −7/8 (d) −8/7

Answer key

  1. −27/28
  2. −3/8
  3. −1/2
  4. 0
  5. −5/18
  6. −29/28
  7. Positive
  8. −8/9
  9. 1/3
  10. Negative
  11. −2/3
  12. −1/3
  13. −11/40
  14. −4/5
  15. −5/14
  16. 1/6
  17. −1/8
  18. Positive
  19. Negative
  20. 2/9
  21. 3
  22. 5/4
  23. −65/63
  24. −1/3
  25. −5/9
  26. −1
  27. 58/63
  28. Positive
  29. −2/9
  30. −4/7
  31. −55/72
  32. 7/8
  33. −41/35
  34. −65/63
  35. 5/8
  36. Negative
  37. −1/9
  38. −1/7
  39. −2/5
  40. −7/8

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