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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 151 · 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 (−4/7) − 2/7? (a) 6/7 (b) −3/7 (c) −6/7 (d) −2/7
  2. 2.What is (−8/9) − 1/8? (a) −55/72 (b) 73/72 (c) −9/17 (d) −73/72
  3. 3.What is the additive inverse of 4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  4. 4.What is (−5/7) − 1/2? (a) 17/14 (b) −17/14 (c) −3/14 (d) −2/3
  5. 5.Which is bigger: −1/3 or −5/6? (a) −5/6 (b) −1/3
  6. 6.What is (−4/9) + (−3/4)? (a) 43/36 (b) −7/13 (c) 11/36 (d) −43/36
  7. 7.What is 5/8 + (−2/5)? (a) 9/40 (b) −9/40 (c) 3/13 (d) 41/40
  8. 8.Is 3/6 positive or negative? (a) Negative (b) Positive
  9. 9.What is the additive inverse of 5/7? (a) 7/5 (b) −7/5 (c) −5/7 (d) 5/7
  10. 10.What is (−2/3) + 1/9? (a) −1/12 (b) −7/9 (c) 5/9 (d) −5/9
  11. 11.Write −5/45 in standard form (lowest terms, positive denominator). (a) −9/1 (b) −5/45 (c) 1/9 (d) −1/9
  12. 12.What is (−3/4) + (−4/7)? (a) −7/11 (b) −5/28 (c) 37/28 (d) −37/28
  13. 13.What is (−4/9) − 3/8? (a) −5/72 (b) 59/72 (c) −59/72 (d) −7/17
  14. 14.Which is smaller: −1/3 or 1/2? (a) 1/2 (b) −1/3
  15. 15.Which is smaller: −1/4 or −5/8? (a) −1/4 (b) −5/8
  16. 16.What is the reciprocal (multiplicative inverse) of 1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  17. 17.What is 1/8 − (−1/7)? (a) −15/56 (b) 2/15 (c) −1/56 (d) 15/56
  18. 18.Which is bigger: −5/8 or 4/7? (a) −5/8 (b) 4/7
  19. 19.What is 3/8 + (−3/5)? (a) 39/40 (b) 0 (c) −9/40 (d) 9/40
  20. 20.Is −4/5 positive or negative? (a) Positive (b) Negative
  21. 21.Write −9/21 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −9/21 (d) 3/7
  22. 22.What is the additive inverse of −4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  23. 23.What is 5/9 + (−1/4)? (a) 11/36 (b) 4/13 (c) 29/36 (d) −11/36
  24. 24.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −3/9
  25. 25.What is 1/6 + (−7/8)? (a) 25/24 (b) 17/24 (c) −17/24 (d) −3/7
  26. 26.What is (−7/9) + 8/9? (a) −5/3 (b) 1/18 (c) −1/9 (d) 1/9
  27. 27.What is (−2/3) − (−1/9)? (a) 5/9 (b) −7/9 (c) −5/9 (d) −1/12
  28. 28.Is 5/9 positive or negative? (a) Negative (b) Positive
  29. 29.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  30. 30.Which is bigger: −7/8 or −1/3? (a) −1/3 (b) −7/8
  31. 31.What is 5/9 + (−3/7)? (a) 8/63 (b) 62/63 (c) −8/63 (d) 1/8
  32. 32.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) 4 (c) −4 (d) −1/4
  33. 33.What is 1/6 + (−4/9)? (a) 11/18 (b) −1/5 (c) 5/18 (d) −5/18
  34. 34.Write −3/21 in standard form (lowest terms, positive denominator). (a) −3/21 (b) −1/7 (c) 1/7 (d) −7/1
  35. 35.What is the additive inverse of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  36. 36.What is 1/2 + (−1/5)? (a) 7/10 (b) 0 (c) 3/10 (d) −3/10
  37. 37.What is (−3/8) + (−2/9)? (a) −11/72 (b) −5/17 (c) 43/72 (d) −43/72
  38. 38.Is −8/(−4) positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of 5/9? (a) 5/9 (b) −9/5 (c) 9/5 (d) −5/9
  40. 40.Which is bigger: −7/9 or −1/4? (a) −7/9 (b) −1/4

Answer key

  1. −6/7
  2. −73/72
  3. −4/5
  4. −17/14
  5. −1/3
  6. −43/36
  7. 9/40
  8. Positive
  9. −5/7
  10. −5/9
  11. −1/9
  12. −37/28
  13. −59/72
  14. −1/3
  15. −5/8
  16. 6
  17. 15/56
  18. 4/7
  19. −9/40
  20. Negative
  21. −3/7
  22. 4/5
  23. 11/36
  24. −1/3
  25. −17/24
  26. 1/9
  27. −5/9
  28. Positive
  29. Positive
  30. −1/3
  31. 8/63
  32. 4
  33. −5/18
  34. −1/7
  35. −2/3
  36. 3/10
  37. −43/72
  38. Positive
  39. −5/9
  40. −1/4

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