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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 331 · 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.Which is smaller: −2/9 or −1/8? (a) −2/9 (b) −1/8
  2. 2.Write −15/40 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −15/40 (d) −3/8
  3. 3.What is (−3/4) + (−1/7)? (a) −4/11 (b) −17/28 (c) 25/28 (d) −25/28
  4. 4.What is (−3/7) + 1/6? (a) −11/42 (b) −25/42 (c) 11/42 (d) −2/13
  5. 5.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −24/27 (c) −9/8 (d) −8/9
  6. 6.Which is bigger: −8/9 or −2/5? (a) −2/5 (b) −8/9
  7. 7.What is the additive inverse of 1/4? (a) −1/4 (b) 1/4 (c) 4 (d) −4
  8. 8.What is 2/5 − (−3/5)? (a) 1/2 (b) 1 (c) −1/5 (d) −1
  9. 9.Write −4/20 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −4/20 (c) −1/5 (d) −5/1
  10. 10.What is 4/7 − (−1/7)? (a) 3/7 (b) 5/7 (c) 5/14 (d) −5/7
  11. 11.What is (−1/4) − (−5/7)? (a) −27/28 (b) 13/28 (c) −13/28 (d) 4/11
  12. 12.Which is smaller: −1/8 or −3/4? (a) −1/8 (b) −3/4
  13. 13.Which is smaller: −1/8 or −4/5? (a) −1/8 (b) −4/5
  14. 14.Which is smaller: −1/9 or 1/4? (a) 1/4 (b) −1/9
  15. 15.Which is smaller: −2/5 or −3/7? (a) −2/5 (b) −3/7
  16. 16.Is −1/9 positive or negative? (a) Positive (b) Negative
  17. 17.What is 1/5 − (−5/8)? (a) 6/13 (b) 33/40 (c) −33/40 (d) −17/40
  18. 18.Which is smaller: −3/5 or −2/3? (a) −2/3 (b) −3/5
  19. 19.Write −20/32 in standard form (lowest terms, positive denominator). (a) −20/32 (b) −8/5 (c) −5/8 (d) 5/8
  20. 20.Which is smaller: −4/7 or −2/3? (a) −2/3 (b) −4/7
  21. 21.What is the additive inverse of −2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  22. 22.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  23. 23.What is (−4/5) − 1/4? (a) 21/20 (b) −11/20 (c) −5/9 (d) −21/20
  24. 24.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −10/12 (d) −5/6
  25. 25.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) −7/3 (c) 3/7 (d) −3/7
  26. 26.What is (−3/4) + 3/4? (a) −3/2 (b) 0
  27. 27.Which is smaller: −1/8 or 5/8? (a) 5/8 (b) −1/8
  28. 28.What is (−1/9) − 7/8? (a) 55/72 (b) −8/17 (c) 71/72 (d) −71/72
  29. 29.What is 8/9 − (−3/4)? (a) 11/13 (b) −59/36 (c) 59/36 (d) 5/36
  30. 30.What is (−5/8) + (−1/3)? (a) −7/24 (b) 23/24 (c) −23/24 (d) −6/11
  31. 31.Is 7/2 positive or negative? (a) Negative (b) Positive
  32. 32.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  33. 33.Which is bigger: −2/3 or 1/9? (a) −2/3 (b) 1/9
  34. 34.What is 2/3 − (−2/7)? (a) 8/21 (b) −20/21 (c) 2/5 (d) 20/21
  35. 35.What is (−1/5) + (−1/8)? (a) −3/40 (b) 13/40 (c) −13/40 (d) −2/13
  36. 36.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −2/4 (d) −1/2
  37. 37.What is (−2/5) − (−5/7)? (a) 11/35 (b) −11/35 (c) −39/35 (d) 1/4
  38. 38.What is (−3/5) − 3/5? (a) −6/5 (b) −3/5 (c) 6/5 (d) 0
  39. 39.What is (−1/6) − (−5/7)? (a) 23/42 (b) −37/42 (c) −23/42 (d) 4/13
  40. 40.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) 5/8 (d) −15/24

Answer key

  1. −2/9
  2. −3/8
  3. −25/28
  4. −11/42
  5. −8/9
  6. −2/5
  7. −1/4
  8. 1
  9. −1/5
  10. 5/7
  11. 13/28
  12. −3/4
  13. −4/5
  14. −1/9
  15. −3/7
  16. Negative
  17. 33/40
  18. −2/3
  19. −5/8
  20. −2/3
  21. 2/7
  22. 8/3
  23. −21/20
  24. −5/6
  25. 7/3
  26. 0
  27. −1/8
  28. −71/72
  29. 59/36
  30. −23/24
  31. Positive
  32. −7/4
  33. 1/9
  34. 20/21
  35. −13/40
  36. −1/2
  37. 11/35
  38. −6/5
  39. 23/42
  40. −5/8

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