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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 468 · 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 (−3/8) − (−4/7)? (a) 1/15 (b) −53/56 (c) −11/56 (d) 11/56
  2. 2.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  3. 3.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −4/32 (b) −8/1 (c) −1/8 (d) 1/8
  4. 4.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −3/15 (d) −1/5
  5. 5.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  6. 6.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) 2/3 (d) −2/3
  7. 7.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  8. 8.Is 8/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −3/5 or −2/5? (a) −2/5 (b) −3/5
  10. 10.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  11. 11.Is −9/4 positive or negative? (a) Positive (b) Negative
  12. 12.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) 4/7 (d) −20/35
  13. 13.What is 1/6 − (−2/7)? (a) 3/13 (b) 19/42 (c) −19/42 (d) −5/42
  14. 14.What is 5/8 − (−2/5)? (a) −41/40 (b) 7/13 (c) 9/40 (d) 41/40
  15. 15.Is 2/2 positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −1/7 (d) −7
  17. 17.Which is bigger: −2/5 or 5/6? (a) 5/6 (b) −2/5
  18. 18.Which is smaller: −6/7 or −7/9? (a) −6/7 (b) −7/9
  19. 19.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) 3/5 (c) −5/3 (d) −3/5
  20. 20.Which is smaller: −5/8 or −2/5? (a) −2/5 (b) −5/8
  21. 21.What is (−2/3) + 1/3? (a) −1/6 (b) −1/3 (c) −1 (d) 1/3
  22. 22.Is −3/9 positive or negative? (a) Positive (b) Negative
  23. 23.Which is bigger: −1/5 or −4/5? (a) −4/5 (b) −1/5
  24. 24.What is 4/5 − (−7/9)? (a) 1/45 (b) 71/45 (c) 11/14 (d) −71/45
  25. 25.Which is smaller: −4/9 or 2/7? (a) −4/9 (b) 2/7
  26. 26.What is 2/5 − (−7/8)? (a) 9/13 (b) −51/40 (c) −19/40 (d) 51/40
  27. 27.Is −8/7 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−1/8) − (−4/7)? (a) −39/56 (b) 25/56 (c) −25/56 (d) 1/5
  29. 29.What is 1/9 − (−1/2)? (a) −11/18 (b) 11/18 (c) 2/11 (d) −7/18
  30. 30.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −7/3 (d) −15/35
  31. 31.Write −20/32 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −20/32 (d) 5/8
  32. 32.What is (−3/5) − 4/7? (a) −7/12 (b) −1/35 (c) 41/35 (d) −41/35
  33. 33.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −3/9
  34. 34.What is 2/9 + (−1/7)? (a) 5/63 (b) 1/16 (c) −5/63 (d) 23/63
  35. 35.What is 5/6 − (−1/6)? (a) −1 (b) 2/3 (c) 1 (d) 1/2
  36. 36.Which is bigger: −1/7 or 3/7? (a) 3/7 (b) −1/7
  37. 37.Which is bigger: −1/3 or 2/3? (a) 2/3 (b) −1/3
  38. 38.What is (−3/4) − (−1/3)? (a) −5/12 (b) −13/12 (c) −2/7 (d) 5/12
  39. 39.Write −25/35 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) 5/7 (d) −25/35
  40. 40.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3

Answer key

  1. 11/56
  2. 9/4
  3. −1/8
  4. −1/5
  5. 5/2
  6. −2/3
  7. Positive
  8. Negative
  9. −3/5
  10. −6/7
  11. Negative
  12. −4/7
  13. 19/42
  14. 41/40
  15. Positive
  16. −1/7
  17. 5/6
  18. −6/7
  19. −3/5
  20. −5/8
  21. −1/3
  22. Negative
  23. −1/5
  24. 71/45
  25. −4/9
  26. 51/40
  27. Negative
  28. 25/56
  29. 11/18
  30. −3/7
  31. −5/8
  32. −41/35
  33. −1/3
  34. 5/63
  35. 1
  36. 3/7
  37. 2/3
  38. −5/12
  39. −5/7
  40. −1/3

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