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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 773 · 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: −5/7 or −3/5? (a) −3/5 (b) −5/7
  2. 2.What is (−2/7) + 1/7? (a) 1/7 (b) −1/14 (c) −3/7 (d) −1/7
  3. 3.Which is bigger: −1/4 or 6/7? (a) 6/7 (b) −1/4
  4. 4.What is (−5/6) + 4/5? (a) −1/30 (b) 1/30 (c) −1/11 (d) −49/30
  5. 5.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −1/6 (c) −6 (d) 1/6
  6. 6.Is −3/(−6) positive or negative? (a) Negative (b) Positive
  7. 7.Which is smaller: −1/8 or 5/9? (a) −1/8 (b) 5/9
  8. 8.What is (−8/9) − (−6/7)? (a) −110/63 (b) 2/63 (c) −1/8 (d) −2/63
  9. 9.What is 6/7 − (−1/3)? (a) −25/21 (b) 7/10 (c) 25/21 (d) 11/21
  10. 10.Which is bigger: −1/5 or −5/6? (a) −5/6 (b) −1/5
  11. 11.What is (−1/8) + 4/7? (a) 1/5 (b) −25/56 (c) −39/56 (d) 25/56
  12. 12.Write −8/14 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) 4/7 (d) −8/14
  13. 13.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) 7/5 (c) −7/5 (d) 5/7
  14. 14.What is 4/7 + (−1/6)? (a) 17/42 (b) 3/13 (c) 31/42 (d) −17/42
  15. 15.Which is bigger: −5/6 or −5/7? (a) −5/7 (b) −5/6
  16. 16.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −4/24
  17. 17.What is (−3/7) − (−3/5)? (a) 0 (b) −36/35 (c) −6/35 (d) 6/35
  18. 18.Which is bigger: −1/4 or −1/2? (a) −1/2 (b) −1/4
  19. 19.Write −5/25 in standard form (lowest terms, positive denominator). (a) −5/25 (b) −5/1 (c) 1/5 (d) −1/5
  20. 20.What is 5/7 − (−4/5)? (a) 53/35 (b) −3/35 (c) −53/35 (d) 3/4
  21. 21.What is 7/8 + (−4/7)? (a) 1/5 (b) 17/56 (c) 81/56 (d) −17/56
  22. 22.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  23. 23.Which is bigger: −1/4 or 3/7? (a) 3/7 (b) −1/4
  24. 24.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −30/48 (c) −5/8 (d) −8/5
  25. 25.What is the additive inverse of −2/9? (a) −2/9 (b) 9/2 (c) −9/2 (d) 2/9
  26. 26.What is (−5/6) + 5/8? (a) 5/24 (b) −35/24 (c) 0 (d) −5/24
  27. 27.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) 2/7 (d) −2/7
  28. 28.What is the additive inverse of 1/9? (a) −9 (b) 1/9 (c) −1/9 (d) 9
  29. 29.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −2/14 (c) −7/1 (d) 1/7
  30. 30.Which is bigger: −2/5 or 1/7? (a) −2/5 (b) 1/7
  31. 31.What is (−1/3) + (−1/7)? (a) −10/21 (b) −1/5 (c) 10/21 (d) −4/21
  32. 32.What is 7/9 + (−3/5)? (a) 62/45 (b) 2/7 (c) 8/45 (d) −8/45
  33. 33.Which is bigger: −3/7 or −2/3? (a) −3/7 (b) −2/3
  34. 34.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −20/25 (d) −4/5
  35. 35.What is 1/6 − (−4/5)? (a) 29/30 (b) −19/30 (c) 5/11 (d) −29/30
  36. 36.Which is smaller: −1/4 or −8/9? (a) −8/9 (b) −1/4
  37. 37.Write −6/12 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −6/12
  38. 38.Which is smaller: −6/7 or −5/8? (a) −6/7 (b) −5/8
  39. 39.What is (−1/2) + (−2/3)? (a) 7/6 (b) −7/6 (c) −3/5 (d) 1/6
  40. 40.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −24/30 (d) 4/5

Answer key

  1. −5/7
  2. −1/7
  3. 6/7
  4. −1/30
  5. 6
  6. Positive
  7. −1/8
  8. −2/63
  9. 25/21
  10. −1/5
  11. 25/56
  12. −4/7
  13. 7/5
  14. 17/42
  15. −5/7
  16. −1/6
  17. 6/35
  18. −1/4
  19. −1/5
  20. 53/35
  21. 17/56
  22. −8/5
  23. 3/7
  24. −5/8
  25. 2/9
  26. −5/24
  27. −2/7
  28. −1/9
  29. −1/7
  30. 1/7
  31. −10/21
  32. 8/45
  33. −3/7
  34. −4/5
  35. 29/30
  36. −8/9
  37. −1/2
  38. −6/7
  39. −7/6
  40. −4/5

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