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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 253 · 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 (−1/2) + (−2/3)? (a) −3/5 (b) 7/6 (c) 1/6 (d) −7/6
  2. 2.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  3. 3.Is −5/4 positive or negative? (a) Negative (b) Positive
  4. 4.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) 8/3 (c) −8/3 (d) −3/8
  5. 5.What is (−2/3) − 1/4? (a) −3/7 (b) −5/12 (c) −11/12 (d) 11/12
  6. 6.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −40/45
  7. 7.Is 6/7 positive or negative? (a) Negative (b) Positive
  8. 8.Is −9/6 positive or negative? (a) Positive (b) Negative
  9. 9.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −12/32 (c) −3/8 (d) 3/8
  10. 10.What is 7/8 − (−6/7)? (a) 13/15 (b) 97/56 (c) 1/56 (d) −97/56
  11. 11.Which is bigger: −3/5 or 4/7? (a) −3/5 (b) 4/7
  12. 12.Which is bigger: −1/5 or −7/8? (a) −1/5 (b) −7/8
  13. 13.What is 4/7 − (−5/8)? (a) −67/56 (b) 3/5 (c) 67/56 (d) −3/56
  14. 14.What is (−1/7) + 2/9? (a) −5/63 (b) −23/63 (c) 1/16 (d) 5/63
  15. 15.What is (−7/8) + 2/5? (a) −51/40 (b) 19/40 (c) −19/40 (d) −5/13
  16. 16.Which is smaller: −8/9 or −6/7? (a) −6/7 (b) −8/9
  17. 17.What is (−5/9) − 2/9? (a) −7/9 (b) −7/18 (c) −1/3 (d) 7/9
  18. 18.What is 2/9 + (−3/5)? (a) −1/14 (b) 17/45 (c) 37/45 (d) −17/45
  19. 19.What is 3/4 + (−1/7)? (a) 2/11 (b) −17/28 (c) 17/28 (d) 25/28
  20. 20.What is (−3/5) + 5/7? (a) −4/35 (b) −46/35 (c) 1/6 (d) 4/35
  21. 21.Which is bigger: −1/5 or 2/5? (a) 2/5 (b) −1/5
  22. 22.What is (−4/9) − (−2/5)? (a) −38/45 (b) −2/45 (c) −1/7 (d) 2/45
  23. 23.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −8/18 (d) −4/9
  24. 24.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  25. 25.Write −36/42 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −36/42
  26. 26.What is 4/5 + (−1/2)? (a) 3/7 (b) 13/10 (c) 3/10 (d) −3/10
  27. 27.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −8/18 (d) −9/4
  28. 28.Which is bigger: −1/2 or −4/5? (a) −4/5 (b) −1/2
  29. 29.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −5/30 (c) −6/1 (d) 1/6
  30. 30.Which is bigger: −3/5 or −2/5? (a) −2/5 (b) −3/5
  31. 31.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −15/35 (c) −3/7 (d) −7/3
  32. 32.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) −3/5 (d) 5/3
  33. 33.Which is bigger: −1/4 or 6/7? (a) −1/4 (b) 6/7
  34. 34.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −16/18 (c) −9/8 (d) −8/9
  35. 35.What is the additive inverse of −1/8? (a) 8 (b) −1/8 (c) −8 (d) 1/8
  36. 36.Write −2/14 in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −2/14
  37. 37.What is 1/3 + (−1/6)? (a) 1/2 (b) 1/6 (c) −1/6 (d) 0
  38. 38.Which is smaller: −4/9 or −2/3? (a) −4/9 (b) −2/3
  39. 39.Which is smaller: −4/9 or 1/6? (a) −4/9 (b) 1/6
  40. 40.What is (−1/3) − 1/4? (a) −2/7 (b) 7/12 (c) −1/12 (d) −7/12

Answer key

  1. −7/6
  2. 3/2
  3. Negative
  4. −8/3
  5. −11/12
  6. −8/9
  7. Positive
  8. Negative
  9. −3/8
  10. 97/56
  11. 4/7
  12. −1/5
  13. 67/56
  14. 5/63
  15. −19/40
  16. −8/9
  17. −7/9
  18. −17/45
  19. 17/28
  20. 4/35
  21. 2/5
  22. −2/45
  23. −4/9
  24. −9/5
  25. −6/7
  26. 3/10
  27. −4/9
  28. −1/2
  29. −1/6
  30. −2/5
  31. −3/7
  32. −3/5
  33. 6/7
  34. −8/9
  35. 1/8
  36. −1/7
  37. 1/6
  38. −2/3
  39. −4/9
  40. −7/12

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