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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 138 · 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 (−1/4) − 4/5? (a) −21/20 (b) −5/9 (c) 11/20 (d) 21/20
  2. 2.What is the additive inverse of 2/5? (a) 5/2 (b) −5/2 (c) −2/5 (d) 2/5
  3. 3.What is the additive inverse of −1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  4. 4.What is 2/3 − (−2/9)? (a) −8/9 (b) 1/3 (c) 8/9 (d) 4/9
  5. 5.What is (−1/6) + (−3/5)? (a) −4/11 (b) 13/30 (c) 23/30 (d) −23/30
  6. 6.What is the additive inverse of −1/4? (a) −1/4 (b) 4 (c) 1/4 (d) −4
  7. 7.What is the additive inverse of 3/8? (a) −8/3 (b) −3/8 (c) 8/3 (d) 3/8
  8. 8.Which is bigger: −5/8 or −1/7? (a) −5/8 (b) −1/7
  9. 9.What is (−3/7) + (−1/7)? (a) −4/7 (b) 4/7 (c) −2/7
  10. 10.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −4/16 (d) −1/4
  11. 11.What is the reciprocal (multiplicative inverse) of 1/9? (a) −1/9 (b) 9 (c) 1/9 (d) −9
  12. 12.Which is smaller: −3/4 or −2/5? (a) −3/4 (b) −2/5
  13. 13.What is 3/7 − (−3/4)? (a) 6/11 (b) −9/28 (c) 33/28 (d) −33/28
  14. 14.What is (−5/7) − (−8/9)? (a) −101/63 (b) 11/63 (c) −11/63 (d) 3/16
  15. 15.What is the additive inverse of −3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  16. 16.What is (−3/4) − 2/5? (a) −7/20 (b) −23/20 (c) −5/9 (d) 23/20
  17. 17.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −10/16 (d) 5/8
  18. 18.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) 8/9 (d) −24/27
  19. 19.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) 2/3 (d) −10/15
  20. 20.What is 1/3 − (−1/2)? (a) 2/5 (b) −1/6 (c) −5/6 (d) 5/6
  21. 21.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−7/8) − 5/8? (a) 3/2 (b) −1/4 (c) −3/2 (d) −3/4
  23. 23.What is (−2/5) − (−4/9)? (a) −38/45 (b) −2/45 (c) 1/7 (d) 2/45
  24. 24.Is 7/4 positive or negative? (a) Positive (b) Negative
  25. 25.What is 1/8 − (−3/8)? (a) 1/4 (b) 1/2 (c) −1/2 (d) −1/4
  26. 26.What is (−5/7) + 7/9? (a) −94/63 (b) −4/63 (c) 4/63 (d) 1/8
  27. 27.What is (−1/9) + 2/3? (a) 5/9 (b) −7/9 (c) 1/12 (d) −5/9
  28. 28.Which is smaller: −2/7 or 1/2? (a) 1/2 (b) −2/7
  29. 29.Is −6/8 positive or negative? (a) Positive (b) Negative
  30. 30.What is (−1/4) + (−3/5)? (a) 7/20 (b) −4/9 (c) 17/20 (d) −17/20
  31. 31.What is (−8/9) + (−5/9)? (a) −1/3 (b) 13/9 (c) −13/18 (d) −13/9
  32. 32.What is (−2/5) + (−2/9)? (a) −2/7 (b) −8/45 (c) −28/45 (d) 28/45
  33. 33.What is (−5/9) − (−1/5)? (a) −34/45 (b) −2/7 (c) −16/45 (d) 16/45
  34. 34.What is (−8/9) − (−1/5)? (a) 31/45 (b) −49/45 (c) −1/2 (d) −31/45
  35. 35.What is (−3/7) + (−3/5)? (a) 6/35 (b) −1/2 (c) 36/35 (d) −36/35
  36. 36.What is 1/5 + (−8/9)? (a) −31/45 (b) 49/45 (c) −1/2 (d) 31/45
  37. 37.What is (−7/8) + 5/6? (a) −41/24 (b) −1/7 (c) −1/24 (d) 1/24
  38. 38.What is (−3/4) + (−1/5)? (a) −11/20 (b) −4/9 (c) −19/20 (d) 19/20
  39. 39.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 1/6 (c) 6 (d) −6
  40. 40.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −10/45

Answer key

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

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