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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 56 · 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.Write −20/24 in standard form (lowest terms, positive denominator). (a) −20/24 (b) −5/6 (c) −6/5 (d) 5/6
  2. 2.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −9/7 (c) −7/9 (d) 9/7
  3. 3.Is −1/5 positive or negative? (a) Negative (b) Positive
  4. 4.What is 7/9 − (−7/8)? (a) 119/72 (b) 14/17 (c) −7/72 (d) −119/72
  5. 5.What is (−7/8) + 1/2? (a) −11/8 (b) −3/5 (c) −3/8 (d) 3/8
  6. 6.What is (−6/7) − 3/8? (a) 69/56 (b) −69/56 (c) −27/56 (d) −3/5
  7. 7.What is (−3/7) + (−2/5)? (a) 29/35 (b) −1/35 (c) −5/12 (d) −29/35
  8. 8.What is (−5/6) − (−2/9)? (a) −1/5 (b) 11/18 (c) −19/18 (d) −11/18
  9. 9.What is 3/4 + (−7/9)? (a) 55/36 (b) −1/36 (c) 1/36 (d) −4/13
  10. 10.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −2/5 (d) −5/2
  11. 11.Which is smaller: −2/7 or −1/3? (a) −1/3 (b) −2/7
  12. 12.Is 4/6 positive or negative? (a) Negative (b) Positive
  13. 13.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −1/6 (c) 1/6 (d) −6
  14. 14.What is the additive inverse of 5/6? (a) 5/6 (b) −5/6 (c) −6/5 (d) 6/5
  15. 15.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  16. 16.Which is smaller: −3/8 or 1/5? (a) −3/8 (b) 1/5
  17. 17.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  18. 18.Is 3/(−5) positive or negative? (a) Negative (b) Positive
  19. 19.Write −10/35 in standard form (lowest terms, positive denominator). (a) −10/35 (b) −2/7 (c) 2/7 (d) −7/2
  20. 20.Which is bigger: −1/6 or −4/9? (a) −4/9 (b) −1/6
  21. 21.Which is smaller: −7/9 or 2/7? (a) 2/7 (b) −7/9
  22. 22.What is (−1/2) + 2/3? (a) 1/6 (b) −1/6 (c) 1/5 (d) −7/6
  23. 23.Which is bigger: −4/5 or 1/7? (a) −4/5 (b) 1/7
  24. 24.Is 6/2 positive or negative? (a) Positive (b) Negative
  25. 25.What is the additive inverse of 1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  26. 26.Is 1/5 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−1/6) − 2/7? (a) −3/13 (b) 5/42 (c) −19/42 (d) 19/42
  28. 28.What is 5/9 + (−3/5)? (a) 52/45 (b) 1/7 (c) 2/45 (d) −2/45
  29. 29.What is (−1/3) + 3/5? (a) −4/15 (b) 4/15 (c) 1/4 (d) −14/15
  30. 30.What is the additive inverse of 1/7? (a) −7 (b) −1/7 (c) 1/7 (d) 7
  31. 31.What is (−2/7) − 1/6? (a) −19/42 (b) −3/13 (c) 19/42 (d) −5/42
  32. 32.Write −30/42 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −30/42
  33. 33.Is −3/(−4) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−1/6) + 1/5? (a) 0 (b) 1/30 (c) −11/30 (d) −1/30
  35. 35.Which is smaller: −4/9 or 7/8? (a) 7/8 (b) −4/9
  36. 36.What is (−2/7) − (−2/9)? (a) −32/63 (b) −4/63 (c) 4/63 (d) 0
  37. 37.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −7/5 (d) −20/28
  38. 38.What is (−2/3) + 1/3? (a) −1/3 (b) 1/3 (c) −1/6 (d) −1
  39. 39.Is −9/(−2) positive or negative? (a) Positive (b) Negative
  40. 40.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −3/4 (c) −4/3 (d) 4/3

Answer key

  1. −5/6
  2. −9/7
  3. Negative
  4. 119/72
  5. −3/8
  6. −69/56
  7. −29/35
  8. −11/18
  9. −1/36
  10. −2/5
  11. −1/3
  12. Positive
  13. 6
  14. −5/6
  15. −8/9
  16. −3/8
  17. 7/2
  18. Negative
  19. −2/7
  20. −1/6
  21. −7/9
  22. 1/6
  23. 1/7
  24. Positive
  25. −1/8
  26. Positive
  27. −19/42
  28. −2/45
  29. 4/15
  30. −1/7
  31. −19/42
  32. −5/7
  33. Positive
  34. 1/30
  35. −4/9
  36. −4/63
  37. −5/7
  38. −1/3
  39. Positive
  40. 4/3

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