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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 163 · 40 sums
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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 the additive inverse of −1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  2. 2.Which is smaller: −2/3 or −8/9? (a) −2/3 (b) −8/9
  3. 3.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  4. 4.Which is smaller: −6/7 or −5/9? (a) −5/9 (b) −6/7
  5. 5.What is (−3/4) − (−1/3)? (a) −5/12 (b) −2/7 (c) −13/12 (d) 5/12
  6. 6.What is (−4/5) − 1/7? (a) −23/35 (b) 33/35 (c) −33/35 (d) −5/12
  7. 7.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 7/8 (c) 8/7 (d) −7/8
  8. 8.What is 3/4 − (−4/7)? (a) 5/28 (b) 7/11 (c) −37/28 (d) 37/28
  9. 9.Write −10/35 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −10/35
  10. 10.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  11. 11.Which is smaller: −5/8 or −3/8? (a) −3/8 (b) −5/8
  12. 12.What is 5/8 − (−2/5)? (a) 41/40 (b) 9/40 (c) 7/13 (d) −41/40
  13. 13.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  14. 14.What is 7/8 + (−3/8)? (a) 5/4 (b) 1/2 (c) 1/4 (d) −1/2
  15. 15.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −3/18 (b) −1/6 (c) 1/6 (d) −6/1
  16. 16.Which is smaller: −4/9 or 3/8? (a) −4/9 (b) 3/8
  17. 17.Is 1/6 positive or negative? (a) Positive (b) Negative
  18. 18.What is (−1/9) + 5/7? (a) −38/63 (b) −52/63 (c) 38/63 (d) 1/4
  19. 19.Is −9/6 positive or negative? (a) Negative (b) Positive
  20. 20.Which is smaller: −6/7 or −1/6? (a) −6/7 (b) −1/6
  21. 21.Which is bigger: −2/3 or −1/3? (a) −2/3 (b) −1/3
  22. 22.What is the reciprocal (multiplicative inverse) of 1/8? (a) 1/8 (b) 8 (c) −1/8 (d) −8
  23. 23.Write −8/10 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −8/10 (d) −4/5
  24. 24.Is −5/(−5) positive or negative? (a) Positive (b) Negative
  25. 25.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −3/2 (d) −4/6
  26. 26.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −9/24 (d) −3/8
  27. 27.What is 3/5 − (−5/7)? (a) 46/35 (b) −4/35 (c) −46/35 (d) 2/3
  28. 28.What is the additive inverse of −1/3? (a) −1/3 (b) −3 (c) 1/3 (d) 3
  29. 29.Is −6/2 positive or negative? (a) Positive (b) Negative
  30. 30.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −2/1 (d) −2/4
  31. 31.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) −3/6 (b) −1/2 (c) 1/2 (d) −2/1
  32. 32.Which is smaller: −3/4 or 1/3? (a) 1/3 (b) −3/4
  33. 33.Which is bigger: −5/7 or 2/5? (a) −5/7 (b) 2/5
  34. 34.Is 8/(−6) positive or negative? (a) Positive (b) Negative
  35. 35.Which is smaller: −6/7 or 1/5? (a) 1/5 (b) −6/7
  36. 36.What is the additive inverse of 5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  37. 37.Write −6/36 in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/36 (d) −6/1
  38. 38.Which is bigger: −2/7 or −1/3? (a) −2/7 (b) −1/3
  39. 39.What is (−1/8) − 3/4? (a) −1/3 (b) −7/8 (c) 5/8 (d) 7/8
  40. 40.Which is smaller: −7/9 or −3/7? (a) −7/9 (b) −3/7

Answer key

  1. 1/7
  2. −8/9
  3. −6
  4. −6/7
  5. −5/12
  6. −33/35
  7. 8/7
  8. 37/28
  9. −2/7
  10. 4/5
  11. −5/8
  12. 41/40
  13. −4
  14. 1/2
  15. −1/6
  16. −4/9
  17. Positive
  18. 38/63
  19. Negative
  20. −6/7
  21. −1/3
  22. 8
  23. −4/5
  24. Positive
  25. −2/3
  26. −3/8
  27. 46/35
  28. 1/3
  29. Negative
  30. −1/2
  31. −1/2
  32. −3/4
  33. 2/5
  34. Negative
  35. −6/7
  36. −5/7
  37. −1/6
  38. −2/7
  39. −7/8
  40. −7/9

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