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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 607 · 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) + (−1/3)? (a) −7/12 (b) 1/12 (c) −2/7 (d) 7/12
  2. 2.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −1/3 or −3/4? (a) −1/3 (b) −3/4
  4. 4.What is (−6/7) − 3/4? (a) 45/28 (b) −9/11 (c) −3/28 (d) −45/28
  5. 5.What is (−4/5) − (−2/3)? (a) 2/15 (b) −2/15 (c) −22/15 (d) −1/4
  6. 6.Which is smaller: −1/8 or −2/5? (a) −1/8 (b) −2/5
  7. 7.Which is smaller: −6/7 or −1/4? (a) −6/7 (b) −1/4
  8. 8.What is the additive inverse of −5/8? (a) −8/5 (b) −5/8 (c) 5/8 (d) 8/5
  9. 9.What is 5/7 − (−5/7)? (a) 5/7 (b) 10/7 (c) 0 (d) −10/7
  10. 10.What is the reciprocal (multiplicative inverse) of −4/9? (a) −4/9 (b) −9/4 (c) 4/9 (d) 9/4
  11. 11.What is (−1/3) − 3/8? (a) 17/24 (b) −4/11 (c) 1/24 (d) −17/24
  12. 12.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) 1/7 (c) −7 (d) 7
  13. 13.What is (−5/8) + (−3/7)? (a) −11/56 (b) −59/56 (c) −8/15 (d) 59/56
  14. 14.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  15. 15.What is (−5/8) + 2/3? (a) −31/24 (b) 1/24 (c) −1/24 (d) −3/11
  16. 16.What is 1/8 + (−2/3)? (a) 19/24 (b) −13/24 (c) 13/24 (d) −1/11
  17. 17.What is (−1/9) − (−4/7)? (a) 3/16 (b) −43/63 (c) 29/63 (d) −29/63
  18. 18.Which is smaller: −1/5 or −4/7? (a) −1/5 (b) −4/7
  19. 19.What is 6/7 − (−1/2)? (a) 5/14 (b) −19/14 (c) 7/9 (d) 19/14
  20. 20.What is 1/9 + (−5/6)? (a) −4/15 (b) −13/18 (c) 17/18 (d) 13/18
  21. 21.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  22. 22.What is (−7/9) + (−1/8)? (a) −8/17 (b) −47/72 (c) 65/72 (d) −65/72
  23. 23.What is (−2/9) − 5/9? (a) −7/9 (b) 7/9 (c) 1/3 (d) −7/18
  24. 24.Is −6/6 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/4) + (−3/4)? (a) 1 (b) 1/2 (c) −1/2 (d) −1
  26. 26.Which is smaller: −2/5 or 2/9? (a) −2/5 (b) 2/9
  27. 27.Which is smaller: −2/7 or 5/9? (a) −2/7 (b) 5/9
  28. 28.What is the reciprocal (multiplicative inverse) of −1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  29. 29.Write −30/36 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −30/36
  30. 30.What is 1/8 + (−3/5)? (a) 29/40 (b) 19/40 (c) −19/40 (d) −2/13
  31. 31.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 9/4 (d) 4/9
  32. 32.What is (−5/8) − 5/8? (a) −5/8 (b) −5/4 (c) 5/4 (d) 0
  33. 33.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −12/54
  34. 34.Which is bigger: −2/9 or −4/5? (a) −2/9 (b) −4/5
  35. 35.Which is bigger: −5/7 or −5/8? (a) −5/8 (b) −5/7
  36. 36.Which is smaller: −1/2 or −2/9? (a) −2/9 (b) −1/2
  37. 37.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −4/16 (d) −4/1
  38. 38.Which is bigger: −4/7 or 3/7? (a) 3/7 (b) −4/7
  39. 39.Which is bigger: −1/4 or −2/5? (a) −1/4 (b) −2/5
  40. 40.Which is bigger: −3/7 or 1/9? (a) −3/7 (b) 1/9

Answer key

  1. −7/12
  2. Positive
  3. −1/3
  4. −45/28
  5. −2/15
  6. −2/5
  7. −6/7
  8. 5/8
  9. 10/7
  10. −9/4
  11. −17/24
  12. 7
  13. −59/56
  14. 3/2
  15. 1/24
  16. −13/24
  17. 29/63
  18. −4/7
  19. 19/14
  20. −13/18
  21. −2/5
  22. −65/72
  23. −7/9
  24. Negative
  25. −1
  26. −2/5
  27. −2/7
  28. −3
  29. −5/6
  30. −19/40
  31. 4/9
  32. −5/4
  33. −2/9
  34. −2/9
  35. −5/8
  36. −1/2
  37. −1/4
  38. 3/7
  39. −1/4
  40. 1/9

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