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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 272 · 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 4/5 − (−5/9)? (a) 9/14 (b) 11/45 (c) −61/45 (d) 61/45
  2. 2.What is (−5/8) − 1/3? (a) −23/24 (b) 23/24 (c) −6/11 (d) −7/24
  3. 3.Is 1/8 positive or negative? (a) Negative (b) Positive
  4. 4.What is (−3/4) − 2/5? (a) −7/20 (b) −23/20 (c) 23/20 (d) −5/9
  5. 5.Is 3/(−5) positive or negative? (a) Positive (b) Negative
  6. 6.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 7/8 (d) 8/7
  7. 7.What is (−4/7) + 1/2? (a) −1/3 (b) 1/14 (c) −1/14 (d) −15/14
  8. 8.Write −4/12 in standard form (lowest terms, positive denominator). (a) −4/12 (b) −1/3 (c) 1/3 (d) −3/1
  9. 9.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −5/9 or 1/4? (a) 1/4 (b) −5/9
  11. 11.Is −5/6 positive or negative? (a) Negative (b) Positive
  12. 12.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  13. 13.What is 8/9 + (−2/3)? (a) 14/9 (b) 2/9 (c) 1/2 (d) −2/9
  14. 14.Is 4/3 positive or negative? (a) Negative (b) Positive
  15. 15.What is (−4/7) − 1/6? (a) 31/42 (b) −5/13 (c) −17/42 (d) −31/42
  16. 16.What is 8/9 + (−5/7)? (a) 11/63 (b) −11/63 (c) 101/63 (d) 3/16
  17. 17.What is 3/4 + (−5/8)? (a) −1/6 (b) 1/8 (c) −1/8 (d) 11/8
  18. 18.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  19. 19.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −42/54 (b) 7/9 (c) −7/9 (d) −9/7
  20. 20.Is 9/3 positive or negative? (a) Positive (b) Negative
  21. 21.What is (−1/4) − 3/5? (a) −4/9 (b) 7/20 (c) 17/20 (d) −17/20
  22. 22.What is (−2/9) − (−4/9)? (a) 2/9 (b) 1/9 (c) −2/3 (d) −2/9
  23. 23.Write −10/35 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) 2/7 (d) −10/35
  24. 24.What is (−8/9) − 5/6? (a) −13/15 (b) 31/18 (c) −31/18 (d) −1/18
  25. 25.What is the additive inverse of 3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  26. 26.What is (−2/7) − 1/2? (a) 3/14 (b) −11/14 (c) 11/14 (d) −1/3
  27. 27.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −14/18 (c) −7/9 (d) 7/9
  28. 28.Which is bigger: −2/3 or −1/9? (a) −2/3 (b) −1/9
  29. 29.Write −6/24 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −4/1 (d) −6/24
  30. 30.What is 5/7 + (−3/8)? (a) 61/56 (b) 19/56 (c) −19/56 (d) 2/15
  31. 31.What is (−1/5) + 1/3? (a) 0 (b) −8/15 (c) 2/15 (d) −2/15
  32. 32.Which is bigger: −5/7 or 7/9? (a) 7/9 (b) −5/7
  33. 33.Is −2/6 positive or negative? (a) Negative (b) Positive
  34. 34.Write −25/45 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −25/45 (c) −5/9 (d) −9/5
  35. 35.What is the additive inverse of −4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  36. 36.What is (−1/2) + (−5/6)? (a) 4/3 (b) 1/3 (c) −3/4 (d) −4/3
  37. 37.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  38. 38.What is (−1/3) − 8/9? (a) −3/4 (b) 5/9 (c) −11/9 (d) 11/9
  39. 39.What is 8/9 − (−1/3)? (a) 5/9 (b) 11/9 (c) −11/9 (d) 3/4
  40. 40.What is 5/8 + (−7/9)? (a) 101/72 (b) −2/17 (c) 11/72 (d) −11/72

Answer key

  1. 61/45
  2. −23/24
  3. Positive
  4. −23/20
  5. Negative
  6. 8/7
  7. −1/14
  8. −1/3
  9. Negative
  10. −5/9
  11. Negative
  12. −2/7
  13. 2/9
  14. Positive
  15. −31/42
  16. 11/63
  17. 1/8
  18. Negative
  19. −7/9
  20. Positive
  21. −17/20
  22. 2/9
  23. −2/7
  24. −31/18
  25. −3/4
  26. −11/14
  27. −7/9
  28. −1/9
  29. −1/4
  30. 19/56
  31. 2/15
  32. 7/9
  33. Negative
  34. −5/9
  35. 4/5
  36. −4/3
  37. 3/2
  38. −11/9
  39. 11/9
  40. −11/72

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