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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 479 · 40 sums
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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 18/(−21) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −18/21
  2. 2.What is (−3/5) + (−1/9)? (a) −32/45 (b) −22/45 (c) 32/45 (d) −2/7
  3. 3.Is −4/6 positive or negative? (a) Negative (b) Positive
  4. 4.What is (−2/9) − 3/4? (a) −35/36 (b) 19/36 (c) −5/13 (d) 35/36
  5. 5.Which is smaller: −8/9 or 2/9? (a) 2/9 (b) −8/9
  6. 6.What is (−5/7) + (−2/9)? (a) −7/16 (b) −31/63 (c) 59/63 (d) −59/63
  7. 7.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  8. 8.What is the additive inverse of −5/6? (a) 6/5 (b) 5/6 (c) −5/6 (d) −6/5
  9. 9.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  10. 10.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  11. 11.Is −8/2 positive or negative? (a) Positive (b) Negative
  12. 12.What is 2/7 + (−4/7)? (a) 6/7 (b) −1/7 (c) −2/7 (d) 2/7
  13. 13.Which is smaller: −4/7 or 7/8? (a) −4/7 (b) 7/8
  14. 14.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −10/45 (d) −2/9
  15. 15.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −12/16
  16. 16.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −6/14 (c) 3/7 (d) −3/7
  17. 17.What is (−6/7) − (−5/8)? (a) −13/56 (b) −1/15 (c) 13/56 (d) −83/56
  18. 18.Is 5/2 positive or negative? (a) Positive (b) Negative
  19. 19.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  20. 20.Is 2/8 positive or negative? (a) Positive (b) Negative
  21. 21.What is 1/5 + (−1/6)? (a) −1/30 (b) 11/30 (c) 1/30 (d) 0
  22. 22.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  23. 23.What is (−3/4) − 5/8? (a) −2/3 (b) 11/8 (c) −1/8 (d) −11/8
  24. 24.What is 3/7 + (−2/5)? (a) 1/35 (b) 1/12 (c) −1/35 (d) 29/35
  25. 25.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −8/1 (d) −4/32
  26. 26.What is (−8/9) + (−3/7)? (a) −29/63 (b) −83/63 (c) −11/16 (d) 83/63
  27. 27.Is 3/9 positive or negative? (a) Negative (b) Positive
  28. 28.What is 2/3 − (−2/3)? (a) 4/3 (b) −4/3 (c) 2/3 (d) 0
  29. 29.What is (−3/5) − (−1/5)? (a) −4/5 (b) 2/5 (c) −2/5 (d) −1/5
  30. 30.What is (−1/4) + 7/9? (a) −37/36 (b) −19/36 (c) 6/13 (d) 19/36
  31. 31.Which is bigger: −3/7 or 5/9? (a) −3/7 (b) 5/9
  32. 32.What is 5/8 + (−4/5)? (a) 1/13 (b) −7/40 (c) 57/40 (d) 7/40
  33. 33.What is (−5/9) + (−1/3)? (a) −8/9 (b) 8/9 (c) −2/9 (d) −1/2
  34. 34.What is the additive inverse of 3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  35. 35.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) 4/5 (c) −5/4 (d) −4/5
  36. 36.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  37. 37.Write −24/28 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −24/28
  38. 38.What is (−1/9) + (−1/6)? (a) 1/18 (b) 5/18 (c) −2/15 (d) −5/18
  39. 39.Which is smaller: −7/9 or −3/4? (a) −3/4 (b) −7/9
  40. 40.Which is bigger: −1/9 or 1/5? (a) −1/9 (b) 1/5

Answer key

  1. −6/7
  2. −32/45
  3. Negative
  4. −35/36
  5. −8/9
  6. −59/63
  7. Negative
  8. 5/6
  9. Positive
  10. −2
  11. Negative
  12. −2/7
  13. −4/7
  14. −2/9
  15. −3/4
  16. −3/7
  17. −13/56
  18. Positive
  19. −5/3
  20. Positive
  21. 1/30
  22. 1/3
  23. −11/8
  24. 1/35
  25. −1/8
  26. −83/63
  27. Positive
  28. 4/3
  29. −2/5
  30. 19/36
  31. 5/9
  32. −7/40
  33. −8/9
  34. −3/8
  35. −4/5
  36. Positive
  37. −6/7
  38. −5/18
  39. −7/9
  40. 1/5

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