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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 92 · 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.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  2. 2.What is 8/9 + (−1/6)? (a) 7/15 (b) −13/18 (c) 19/18 (d) 13/18
  3. 3.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −10/16 (b) 5/8 (c) −8/5 (d) −5/8
  4. 4.Which is smaller: −3/4 or 3/5? (a) 3/5 (b) −3/4
  5. 5.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  7. 7.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −1/8 or 1/3? (a) −1/8 (b) 1/3
  9. 9.Is 5/7 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−3/5) + (−3/4)? (a) −2/3 (b) −27/20 (c) 3/20 (d) 27/20
  11. 11.What is the additive inverse of −4/7? (a) 4/7 (b) −4/7 (c) −7/4 (d) 7/4
  12. 12.Is −5/(−7) positive or negative? (a) Negative (b) Positive
  13. 13.Is 3/2 positive or negative? (a) Negative (b) Positive
  14. 14.What is 5/9 − (−5/7)? (a) 5/8 (b) −80/63 (c) 80/63 (d) −10/63
  15. 15.What is the additive inverse of 4/9? (a) −9/4 (b) 9/4 (c) 4/9 (d) −4/9
  16. 16.Is 5/(−3) positive or negative? (a) Negative (b) Positive
  17. 17.What is (−5/7) − 1/5? (a) 32/35 (b) −1/2 (c) −18/35 (d) −32/35
  18. 18.Which is bigger: −6/7 or −1/2? (a) −1/2 (b) −6/7
  19. 19.Is −1/(−9) positive or negative? (a) Negative (b) Positive
  20. 20.Which is smaller: −2/5 or −4/5? (a) −4/5 (b) −2/5
  21. 21.Which is smaller: −5/7 or −4/9? (a) −4/9 (b) −5/7
  22. 22.Which is smaller: −1/8 or −4/5? (a) −4/5 (b) −1/8
  23. 23.Write −18/48 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −3/8 (d) −18/48
  24. 24.What is the additive inverse of 7/9? (a) 9/7 (b) −7/9 (c) −9/7 (d) 7/9
  25. 25.Is −4/(−8) positive or negative? (a) Negative (b) Positive
  26. 26.What is 1/2 + (−3/5)? (a) 1/10 (b) −1/10 (c) −2/7 (d) 11/10
  27. 27.What is (−5/9) − (−5/7)? (a) −80/63 (b) 10/63 (c) 0 (d) −10/63
  28. 28.What is (−2/3) + (−2/5)? (a) −1/2 (b) −4/15 (c) 16/15 (d) −16/15
  29. 29.Write −15/40 in standard form (lowest terms, positive denominator). (a) −8/3 (b) 3/8 (c) −15/40 (d) −3/8
  30. 30.What is 1/9 + (−1/5)? (a) 4/45 (b) 14/45 (c) −4/45 (d) 0
  31. 31.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −10/18 (c) −5/9 (d) −9/5
  32. 32.Is −3/6 positive or negative? (a) Positive (b) Negative
  33. 33.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) −2/9 (c) 2/9 (d) −9/2
  34. 34.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) −8 (c) 1/8 (d) 8
  35. 35.Which is smaller: −4/7 or 1/6? (a) −4/7 (b) 1/6
  36. 36.Write −21/27 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −21/27
  37. 37.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  38. 38.Write −6/30 in standard form (lowest terms, positive denominator). (a) −1/5 (b) 1/5 (c) −5/1 (d) −6/30
  39. 39.Is 2/(−9) positive or negative? (a) Positive (b) Negative
  40. 40.Is −7/5 positive or negative? (a) Negative (b) Positive

Answer key

  1. 2
  2. 13/18
  3. −5/8
  4. −3/4
  5. Negative
  6. −7/6
  7. Negative
  8. 1/3
  9. Positive
  10. −27/20
  11. 4/7
  12. Positive
  13. Positive
  14. 80/63
  15. −4/9
  16. Negative
  17. −32/35
  18. −1/2
  19. Positive
  20. −4/5
  21. −5/7
  22. −4/5
  23. −3/8
  24. −7/9
  25. Positive
  26. −1/10
  27. 10/63
  28. −16/15
  29. −3/8
  30. −4/45
  31. −5/9
  32. Negative
  33. −9/2
  34. 8
  35. −4/7
  36. −7/9
  37. Negative
  38. −1/5
  39. Negative
  40. Negative

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