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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 522 · 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 2/5 + (−1/6)? (a) 1/11 (b) −7/30 (c) 17/30 (d) 7/30
  2. 2.What is (−2/3) − 2/5? (a) −4/15 (b) −16/15 (c) −1/2 (d) 16/15
  3. 3.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) −1/6 (c) 1/6 (d) 6
  4. 4.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  5. 5.What is (−1/5) + 3/5? (a) −4/5 (b) −2/5 (c) 2/5 (d) 1/5
  6. 6.What is (−4/7) + 5/9? (a) 1/16 (b) 1/63 (c) −71/63 (d) −1/63
  7. 7.Which is bigger: −6/7 or −3/8? (a) −3/8 (b) −6/7
  8. 8.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −16/36 (c) −4/9 (d) −9/4
  10. 10.What is (−4/7) − (−4/5)? (a) 8/35 (b) −48/35 (c) 0 (d) −8/35
  11. 11.Is −3/2 positive or negative? (a) Positive (b) Negative
  12. 12.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −14/18
  13. 13.Write −32/36 in standard form (lowest terms, positive denominator). (a) −32/36 (b) 8/9 (c) −9/8 (d) −8/9
  14. 14.What is the reciprocal (multiplicative inverse) of 1/4? (a) 4 (b) 1/4 (c) −4 (d) −1/4
  15. 15.Which is bigger: −3/7 or −4/9? (a) −4/9 (b) −3/7
  16. 16.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −6/10
  17. 17.What is 7/8 + (−1/2)? (a) −3/8 (b) 3/5 (c) 11/8 (d) 3/8
  18. 18.What is the additive inverse of 2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  19. 19.What is (−1/4) − (−1/5)? (a) −1/20 (b) 1/20 (c) −9/20 (d) 0
  20. 20.What is (−5/6) + 1/7? (a) −41/42 (b) 29/42 (c) −29/42 (d) −4/13
  21. 21.Is −4/(−6) positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −8/9 or −3/4? (a) −3/4 (b) −8/9
  23. 23.Is 9/7 positive or negative? (a) Negative (b) Positive
  24. 24.What is the additive inverse of −8/9? (a) 8/9 (b) −8/9 (c) −9/8 (d) 9/8
  25. 25.What is the reciprocal (multiplicative inverse) of −2/9? (a) −2/9 (b) 9/2 (c) 2/9 (d) −9/2
  26. 26.Which is smaller: −3/7 or 2/5? (a) −3/7 (b) 2/5
  27. 27.What is 8/9 − (−1/3)? (a) 11/9 (b) 5/9 (c) −11/9 (d) 3/4
  28. 28.What is (−5/8) + (−4/5)? (a) 57/40 (b) −57/40 (c) 7/40 (d) −9/13
  29. 29.What is 3/5 + (−3/7)? (a) 0 (b) 6/35 (c) −6/35 (d) 36/35
  30. 30.What is (−3/4) − 4/9? (a) −43/36 (b) −11/36 (c) 43/36 (d) −7/13
  31. 31.Which is bigger: −1/8 or −7/9? (a) −7/9 (b) −1/8
  32. 32.What is (−1/4) − (−1/3)? (a) 1/12 (b) −1/12 (c) 0 (d) −7/12
  33. 33.Which is smaller: −1/2 or −4/5? (a) −4/5 (b) −1/2
  34. 34.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −2/6 (c) 1/3 (d) −3/1
  35. 35.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  36. 36.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −35/45 (b) −9/7 (c) 7/9 (d) −7/9
  37. 37.What is (−1/5) + 7/8? (a) −43/40 (b) 27/40 (c) −27/40 (d) 6/13
  38. 38.What is (−5/8) − (−1/2)? (a) 1/8 (b) −2/5 (c) −1/8 (d) −9/8
  39. 39.Is −2/(−7) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−1/3) − 5/6? (a) 1/2 (b) −2/3 (c) 7/6 (d) −7/6

Answer key

  1. 7/30
  2. −16/15
  3. −6
  4. −9/8
  5. 2/5
  6. −1/63
  7. −3/8
  8. Negative
  9. −4/9
  10. 8/35
  11. Negative
  12. −7/9
  13. −8/9
  14. 4
  15. −3/7
  16. −3/5
  17. 3/8
  18. −2/3
  19. −1/20
  20. −29/42
  21. Positive
  22. −3/4
  23. Positive
  24. 8/9
  25. −9/2
  26. −3/7
  27. 11/9
  28. −57/40
  29. 6/35
  30. −43/36
  31. −1/8
  32. 1/12
  33. −4/5
  34. −1/3
  35. Positive
  36. −7/9
  37. 27/40
  38. −1/8
  39. Positive
  40. −7/6

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