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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 431 · 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 − (−1/2)? (a) 3/10 (b) 13/10 (c) 5/7 (d) −13/10
  2. 2.What is the reciprocal (multiplicative inverse) of 3/5? (a) 3/5 (b) 5/3 (c) −3/5 (d) −5/3
  3. 3.What is (−1/2) + 2/9? (a) 1/11 (b) 5/18 (c) −5/18 (d) −13/18
  4. 4.Write −15/25 in standard form (lowest terms, positive denominator). (a) −15/25 (b) −3/5 (c) −5/3 (d) 3/5
  5. 5.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  6. 6.What is 1/7 + (−4/9)? (a) 19/63 (b) 37/63 (c) −19/63 (d) −3/16
  7. 7.Which is bigger: −3/8 or 1/4? (a) 1/4 (b) −3/8
  8. 8.Which is bigger: −8/9 or −7/9? (a) −7/9 (b) −8/9
  9. 9.What is the additive inverse of 5/6? (a) −6/5 (b) 5/6 (c) −5/6 (d) 6/5
  10. 10.Is 3/4 positive or negative? (a) Positive (b) Negative
  11. 11.Which is bigger: −1/5 or −1/4? (a) −1/4 (b) −1/5
  12. 12.What is (−2/3) − (−5/9)? (a) −11/9 (b) −1/9 (c) 1/4 (d) 1/9
  13. 13.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −7/8 (b) −28/32 (c) −8/7 (d) 7/8
  14. 14.Is 5/3 positive or negative? (a) Negative (b) Positive
  15. 15.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −7/1 (d) −5/35
  16. 16.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  17. 17.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −5/20 (c) 1/4 (d) −4/1
  18. 18.What is (−1/9) + 1/3? (a) −4/9 (b) 2/9 (c) −2/9 (d) 0
  19. 19.What is (−3/8) + 2/7? (a) −37/56 (b) 5/56 (c) −5/56 (d) −1/15
  20. 20.What is the additive inverse of −6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  21. 21.Write −3/15 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/1 (d) −3/15
  22. 22.What is the additive inverse of 1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  23. 23.What is the additive inverse of −4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  24. 24.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −42/54
  25. 25.What is (−2/7) − 1/9? (a) −11/63 (b) −3/16 (c) −25/63 (d) 25/63
  26. 26.What is (−1/3) − (−5/7)? (a) 2/5 (b) −8/21 (c) 8/21 (d) −22/21
  27. 27.What is (−1/8) + 1/3? (a) −11/24 (b) −5/24 (c) 0 (d) 5/24
  28. 28.Which is smaller: −6/7 or −4/5? (a) −6/7 (b) −4/5
  29. 29.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  30. 30.Write −10/18 in standard form (lowest terms, positive denominator). (a) −10/18 (b) 5/9 (c) −5/9 (d) −9/5
  31. 31.Is −3/(−7) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−5/8) − (−4/5)? (a) 7/40 (b) −1/13 (c) −7/40 (d) −57/40
  33. 33.What is 6/7 + (−5/8)? (a) 1/15 (b) 13/56 (c) −13/56 (d) 83/56
  34. 34.What is (−2/3) + (−2/9)? (a) −1/3 (b) −4/9 (c) −8/9 (d) 8/9
  35. 35.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  36. 36.Which is smaller: −6/7 or 1/4? (a) −6/7 (b) 1/4
  37. 37.What is the additive inverse of 3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  38. 38.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  39. 39.What is 5/8 + (−8/9)? (a) −3/17 (b) −19/72 (c) 19/72 (d) 109/72
  40. 40.Which is bigger: −3/4 or 3/8? (a) −3/4 (b) 3/8

Answer key

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

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