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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 762 · 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 the additive inverse of −3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  2. 2.What is (−5/7) + (−5/8)? (a) 75/56 (b) −5/56 (c) −75/56 (d) −2/3
  3. 3.What is (−1/4) − (−3/7)? (a) −19/28 (b) −5/28 (c) 5/28 (d) 2/11
  4. 4.What is (−7/9) − (−2/3)? (a) −1/9 (b) 1/9 (c) −5/12 (d) −13/9
  5. 5.What is the additive inverse of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  6. 6.What is 2/7 + (−3/8)? (a) −5/56 (b) −1/15 (c) 5/56 (d) 37/56
  7. 7.Write −12/30 in standard form (lowest terms, positive denominator). (a) −12/30 (b) −2/5 (c) −5/2 (d) 2/5
  8. 8.What is (−1/3) + (−1/9)? (a) 4/9 (b) −2/9 (c) −1/6 (d) −4/9
  9. 9.What is the additive inverse of −2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  10. 10.Write −4/20 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −4/20 (d) −5/1
  11. 11.What is (−2/5) − 7/8? (a) 19/40 (b) −51/40 (c) 51/40 (d) −9/13
  12. 12.What is (−1/6) + (−2/3)? (a) 5/6 (b) −5/6 (c) 1/2 (d) −1/3
  13. 13.Which is bigger: −3/4 or −1/5? (a) −3/4 (b) −1/5
  14. 14.What is (−5/7) − 2/7? (a) −3/7 (b) −1/2 (c) 1 (d) −1
  15. 15.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −4/14 (b) −2/7 (c) 2/7 (d) −7/2
  16. 16.What is (−5/8) − 1/8? (a) −3/8 (b) −1/2 (c) 3/4 (d) −3/4
  17. 17.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) −4/3 (c) 3/4 (d) −3/4
  18. 18.Is −8/6 positive or negative? (a) Negative (b) Positive
  19. 19.What is the additive inverse of 1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  20. 20.What is 7/8 + (−1/2)? (a) −3/8 (b) 11/8 (c) 3/8 (d) 3/5
  21. 21.What is 1/2 − (−1/8)? (a) −5/8 (b) 1/5 (c) 3/8 (d) 5/8
  22. 22.Which is bigger: −1/3 or −1/5? (a) −1/5 (b) −1/3
  23. 23.What is (−1/5) + 2/7? (a) 3/35 (b) −17/35 (c) −3/35 (d) 1/12
  24. 24.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 3/8 (c) 8/3 (d) −8/3
  25. 25.Which is bigger: −1/5 or −4/5? (a) −4/5 (b) −1/5
  26. 26.What is (−7/8) + 1/4? (a) −9/8 (b) −1/2 (c) 5/8 (d) −5/8
  27. 27.What is the reciprocal (multiplicative inverse) of 1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  28. 28.What is 3/8 + (−1/9)? (a) 2/17 (b) 35/72 (c) 19/72 (d) −19/72
  29. 29.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  30. 30.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 9/5 (c) 5/9 (d) −5/9
  31. 31.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  32. 32.What is the reciprocal (multiplicative inverse) of −1/3? (a) 1/3 (b) −1/3 (c) 3 (d) −3
  33. 33.What is 1/2 + (−1/3)? (a) −1/6 (b) 5/6 (c) 0 (d) 1/6
  34. 34.What is (−1/3) − (−2/9)? (a) −5/9 (b) 1/9 (c) 1/12 (d) −1/9
  35. 35.What is (−1/7) − 7/8? (a) −57/56 (b) −8/15 (c) 41/56 (d) 57/56
  36. 36.What is (−5/6) − 3/4? (a) −19/12 (b) 19/12 (c) −1/12 (d) −4/5
  37. 37.Which is smaller: −7/8 or 3/4? (a) −7/8 (b) 3/4
  38. 38.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  39. 39.Is −4/7 positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −2/7 or −1/2? (a) −1/2 (b) −2/7

Answer key

  1. 3/4
  2. −75/56
  3. 5/28
  4. −1/9
  5. 3/7
  6. −5/56
  7. −2/5
  8. −4/9
  9. 2/3
  10. −1/5
  11. −51/40
  12. −5/6
  13. −1/5
  14. −1
  15. −2/7
  16. −3/4
  17. 4/3
  18. Negative
  19. −1/5
  20. 3/8
  21. 5/8
  22. −1/5
  23. 3/35
  24. −8/3
  25. −1/5
  26. −5/8
  27. 5
  28. 19/72
  29. −3/8
  30. 9/5
  31. Negative
  32. −3
  33. 1/6
  34. −1/9
  35. −57/56
  36. −19/12
  37. −7/8
  38. 9/2
  39. Negative
  40. −2/7

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