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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 52 · 40 sums
TalentJR

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 (−3/5) − (−5/9)? (a) −52/45 (b) −2/45 (c) 2/45 (d) 1/7
  2. 2.Which is smaller: −5/8 or −3/5? (a) −5/8 (b) −3/5
  3. 3.What is the additive inverse of 2/7? (a) −7/2 (b) 2/7 (c) 7/2 (d) −2/7
  4. 4.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −30/36 (d) 5/6
  5. 5.What is (−2/3) + (−1/7)? (a) −17/21 (b) −3/10 (c) 17/21 (d) −11/21
  6. 6.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) 4/3 (c) −4/3 (d) −3/4
  7. 7.What is the reciprocal (multiplicative inverse) of −1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  8. 8.What is (−1/5) + (−1/5)? (a) −2/5 (b) 0 (c) −1/5 (d) 2/5
  9. 9.What is the additive inverse of 1/5? (a) 1/5 (b) −1/5 (c) −5 (d) 5
  10. 10.What is 5/6 + (−7/8)? (a) −1/7 (b) −1/24 (c) 41/24 (d) 1/24
  11. 11.What is (−1/7) + (−1/4)? (a) −11/28 (b) 3/28 (c) 11/28 (d) −2/11
  12. 12.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of 7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  14. 14.What is (−1/6) − 5/7? (a) 37/42 (b) −6/13 (c) 23/42 (d) −37/42
  15. 15.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  16. 16.Write −6/16 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) −6/16 (d) 3/8
  17. 17.What is the additive inverse of 5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  18. 18.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −15/18 (c) −5/6 (d) −6/5
  19. 19.What is the additive inverse of −3/4? (a) 4/3 (b) −3/4 (c) 3/4 (d) −4/3
  20. 20.What is (−1/2) + 2/5? (a) 1/7 (b) −9/10 (c) −1/10 (d) 1/10
  21. 21.What is 7/9 − (−1/7)? (a) 1/2 (b) 40/63 (c) −58/63 (d) 58/63
  22. 22.What is (−1/6) + 1/3? (a) 1/6 (b) −1/6 (c) 0 (d) −1/2
  23. 23.What is the additive inverse of 1/8? (a) 1/8 (b) −8 (c) 8 (d) −1/8
  24. 24.What is 3/7 − (−1/6)? (a) −25/42 (b) 25/42 (c) 11/42 (d) 4/13
  25. 25.What is the additive inverse of −3/7? (a) −3/7 (b) 7/3 (c) −7/3 (d) 3/7
  26. 26.What is (−3/5) − 3/7? (a) −6/35 (b) 36/35 (c) −36/35 (d) −1/2
  27. 27.Which is bigger: −3/5 or −2/9? (a) −2/9 (b) −3/5
  28. 28.Which is smaller: −1/4 or −7/9? (a) −1/4 (b) −7/9
  29. 29.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −12/14 (c) −6/7 (d) 6/7
  30. 30.What is 1/5 + (−2/5)? (a) −1/5 (b) 1/5 (c) 3/5 (d) −1/10
  31. 31.What is (−5/9) + 4/5? (a) −11/45 (b) 11/45 (c) −1/14 (d) −61/45
  32. 32.What is 7/9 + (−8/9)? (a) −1/9 (b) 1/9 (c) −1/18 (d) 5/3
  33. 33.Which is bigger: −1/8 or 3/8? (a) 3/8 (b) −1/8
  34. 34.What is (−1/5) − (−1/7)? (a) 2/35 (b) 0 (c) −2/35 (d) −12/35
  35. 35.Is −6/(−3) positive or negative? (a) Positive (b) Negative
  36. 36.Write −15/24 in standard form (lowest terms, positive denominator). (a) −15/24 (b) 5/8 (c) −8/5 (d) −5/8
  37. 37.Write −12/27 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) −12/27 (d) 4/9
  38. 38.What is (−5/6) − (−3/4)? (a) 1/12 (b) −1/5 (c) −19/12 (d) −1/12
  39. 39.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −6/27 (c) 2/9 (d) −9/2
  40. 40.What is (−2/3) − 6/7? (a) 4/21 (b) −32/21 (c) 32/21 (d) −4/5

Answer key

  1. −2/45
  2. −5/8
  3. −2/7
  4. −5/6
  5. −17/21
  6. 4/3
  7. −5
  8. −2/5
  9. −1/5
  10. −1/24
  11. −11/28
  12. Negative
  13. −7/8
  14. −37/42
  15. Negative
  16. −3/8
  17. −5/7
  18. −5/6
  19. 3/4
  20. −1/10
  21. 58/63
  22. 1/6
  23. −1/8
  24. 25/42
  25. 3/7
  26. −36/35
  27. −2/9
  28. −7/9
  29. −6/7
  30. −1/5
  31. 11/45
  32. −1/9
  33. 3/8
  34. −2/35
  35. Positive
  36. −5/8
  37. −4/9
  38. −1/12
  39. −2/9
  40. −32/21

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