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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 6 · 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 (−1/5) − 4/7? (a) −5/12 (b) 13/35 (c) −27/35 (d) 27/35
  2. 2.Write −14/18 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −14/18 (c) −9/7 (d) −7/9
  3. 3.What is 6/7 + (−4/5)? (a) 1/6 (b) 2/35 (c) 58/35 (d) −2/35
  4. 4.Which is bigger: −1/4 or 2/7? (a) −1/4 (b) 2/7
  5. 5.Which is smaller: −3/7 or −3/8? (a) −3/7 (b) −3/8
  6. 6.Write −3/12 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) −3/12 (d) 1/4
  7. 7.What is the additive inverse of −3/4? (a) −3/4 (b) −4/3 (c) 3/4 (d) 4/3
  8. 8.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  9. 9.What is (−5/7) + 2/7? (a) −1 (b) −3/14 (c) 3/7 (d) −3/7
  10. 10.What is the reciprocal (multiplicative inverse) of −3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  11. 11.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  12. 12.Write −6/10 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −6/10 (c) 3/5 (d) −3/5
  13. 13.Is 2/4 positive or negative? (a) Negative (b) Positive
  14. 14.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) −8/9 (c) 8/9 (d) −9/8
  15. 15.Is 1/4 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−3/5) + 3/7? (a) −36/35 (b) 6/35 (c) −6/35 (d) 0
  17. 17.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) −1/4 (d) 1/4
  18. 18.What is (−7/9) − (−2/7)? (a) −67/63 (b) 31/63 (c) −31/63 (d) −5/16
  19. 19.Which is smaller: −1/2 or 1/7? (a) 1/7 (b) −1/2
  20. 20.What is (−1/6) + (−1/8)? (a) −7/24 (b) −1/7 (c) 7/24 (d) −1/24
  21. 21.What is (−3/7) − (−1/6)? (a) 11/42 (b) −11/42 (c) −25/42 (d) −2/13
  22. 22.What is (−4/5) − (−1/2)? (a) −13/10 (b) −3/7 (c) −3/10 (d) 3/10
  23. 23.Is 8/2 positive or negative? (a) Negative (b) Positive
  24. 24.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −15/27 (d) −9/5
  25. 25.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −8/3 (d) −12/32
  26. 26.What is the reciprocal (multiplicative inverse) of 4/7? (a) −4/7 (b) 7/4 (c) 4/7 (d) −7/4
  27. 27.What is (−3/4) + 1/8? (a) −5/8 (b) −1/6 (c) −7/8 (d) 5/8
  28. 28.What is 1/9 − (−1/8)? (a) −1/72 (b) −17/72 (c) 17/72 (d) 2/17
  29. 29.What is (−2/5) + (−2/7)? (a) 24/35 (b) −4/35 (c) −24/35 (d) −1/3
  30. 30.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  31. 31.Which is bigger: −1/8 or −3/8? (a) −3/8 (b) −1/8
  32. 32.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  33. 33.What is 2/5 + (−2/7)? (a) 24/35 (b) 4/35 (c) 0 (d) −4/35
  34. 34.What is the additive inverse of −1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  35. 35.Which is bigger: −1/4 or 1/5? (a) 1/5 (b) −1/4
  36. 36.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −3/5 (b) −15/25 (c) 3/5 (d) −5/3
  37. 37.What is (−1/3) − (−4/5)? (a) −7/15 (b) 7/15 (c) 3/8 (d) −17/15
  38. 38.Write −21/24 in standard form (lowest terms, positive denominator). (a) −21/24 (b) −8/7 (c) −7/8 (d) 7/8
  39. 39.What is 4/7 − (−2/7)? (a) 6/7 (b) 3/7 (c) 2/7 (d) −6/7
  40. 40.Which is smaller: −4/7 or 5/6? (a) 5/6 (b) −4/7

Answer key

  1. −27/35
  2. −7/9
  3. 2/35
  4. 2/7
  5. −3/7
  6. −1/4
  7. 3/4
  8. 8/7
  9. −3/7
  10. −8/3
  11. 3/2
  12. −3/5
  13. Positive
  14. −8/9
  15. Positive
  16. −6/35
  17. −1/4
  18. −31/63
  19. −1/2
  20. −7/24
  21. −11/42
  22. −3/10
  23. Positive
  24. −5/9
  25. −3/8
  26. 7/4
  27. −5/8
  28. 17/72
  29. −24/35
  30. Negative
  31. −1/8
  32. 9/5
  33. 4/35
  34. 1/3
  35. 1/5
  36. −3/5
  37. 7/15
  38. −7/8
  39. 6/7
  40. −4/7

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