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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 475 · 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 reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  2. 2.What is 5/6 + (−6/7)? (a) 71/42 (b) 1/42 (c) −1/13 (d) −1/42
  3. 3.Is 2/(−9) positive or negative? (a) Negative (b) Positive
  4. 4.Which is bigger: −1/4 or −1/3? (a) −1/4 (b) −1/3
  5. 5.Is 5/3 positive or negative? (a) Positive (b) Negative
  6. 6.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  7. 7.What is (−3/4) − (−7/9)? (a) −55/36 (b) 1/36 (c) −1/36 (d) 4/13
  8. 8.What is (−5/6) + 5/6? (a) 0 (b) −5/3
  9. 9.What is (−2/5) − 3/7? (a) 29/35 (b) 1/35 (c) −5/12 (d) −29/35
  10. 10.What is (−7/8) − 5/9? (a) 103/72 (b) −12/17 (c) −103/72 (d) −23/72
  11. 11.What is (−2/3) + (−5/9)? (a) −7/12 (b) −1/9 (c) −11/9 (d) 11/9
  12. 12.What is 1/9 + (−1/7)? (a) 0 (b) −2/63 (c) 16/63 (d) 2/63
  13. 13.What is (−4/9) + (−7/9)? (a) −11/9 (b) 11/9 (c) −11/18 (d) 1/3
  14. 14.Write −25/40 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −25/40 (d) −5/8
  15. 15.What is (−1/4) − 2/3? (a) −11/12 (b) −3/7 (c) 5/12 (d) 11/12
  16. 16.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  17. 17.Is 3/(−3) positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of −4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  19. 19.Which is bigger: −3/4 or −2/9? (a) −2/9 (b) −3/4
  20. 20.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −3/6 (d) −1/2
  21. 21.Which is bigger: −8/9 or 1/2? (a) 1/2 (b) −8/9
  22. 22.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  23. 23.Write −8/20 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) 2/5 (d) −8/20
  24. 24.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  25. 25.Which is bigger: −5/9 or −1/5? (a) −5/9 (b) −1/5
  26. 26.What is (−2/9) − 1/3? (a) 1/9 (b) −1/4 (c) 5/9 (d) −5/9
  27. 27.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  28. 28.Write −30/36 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −6/5 (d) −30/36
  29. 29.Is 7/(−2) positive or negative? (a) Positive (b) Negative
  30. 30.Which is bigger: −4/7 or −3/8? (a) −4/7 (b) −3/8
  31. 31.Which is bigger: −5/7 or −7/8? (a) −7/8 (b) −5/7
  32. 32.Is −3/5 positive or negative? (a) Positive (b) Negative
  33. 33.Is −7/6 positive or negative? (a) Positive (b) Negative
  34. 34.Write −12/14 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) 6/7 (d) −12/14
  35. 35.What is 1/6 + (−1/2)? (a) 1/3 (b) 2/3 (c) −1/3 (d) 0
  36. 36.Which is bigger: −4/7 or 1/5? (a) −4/7 (b) 1/5
  37. 37.Which is bigger: −5/7 or 7/9? (a) −5/7 (b) 7/9
  38. 38.What is (−5/8) + 1/6? (a) −11/24 (b) −19/24 (c) −2/7 (d) 11/24
  39. 39.What is 1/6 − (−2/7)? (a) 19/42 (b) −5/42 (c) −19/42 (d) 3/13
  40. 40.Which is bigger: −1/7 or −3/4? (a) −1/7 (b) −3/4

Answer key

  1. −9/5
  2. −1/42
  3. Negative
  4. −1/4
  5. Positive
  6. Negative
  7. 1/36
  8. 0
  9. −29/35
  10. −103/72
  11. −11/9
  12. −2/63
  13. −11/9
  14. −5/8
  15. −11/12
  16. Negative
  17. Negative
  18. −7/4
  19. −2/9
  20. −1/2
  21. 1/2
  22. Negative
  23. −2/5
  24. −5/3
  25. −1/5
  26. −5/9
  27. Negative
  28. −5/6
  29. Negative
  30. −3/8
  31. −5/7
  32. Negative
  33. Negative
  34. −6/7
  35. −1/3
  36. 1/5
  37. 7/9
  38. −11/24
  39. 19/42
  40. −1/7

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