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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 972 · 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.Write −40/45 in standard form (lowest terms, positive denominator). (a) −9/8 (b) 8/9 (c) −8/9 (d) −40/45
  2. 2.What is (−1/6) − (−2/5)? (a) 7/30 (b) −7/30 (c) 1/11 (d) −17/30
  3. 3.Which is smaller: −1/5 or −1/4? (a) −1/4 (b) −1/5
  4. 4.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −2/12 (b) −6/1 (c) 1/6 (d) −1/6
  5. 5.Which is smaller: −4/7 or −7/9? (a) −4/7 (b) −7/9
  6. 6.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −20/25 (b) −5/4 (c) 4/5 (d) −4/5
  7. 7.Is −9/4 positive or negative? (a) Positive (b) Negative
  8. 8.Is 1/7 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−5/7) − 2/5? (a) −7/12 (b) −11/35 (c) −39/35 (d) 39/35
  10. 10.Which is bigger: −1/9 or −4/5? (a) −1/9 (b) −4/5
  11. 11.What is (−1/7) + (−1/4)? (a) −2/11 (b) 11/28 (c) 3/28 (d) −11/28
  12. 12.What is 1/3 − (−3/7)? (a) −2/21 (b) 2/5 (c) 16/21 (d) −16/21
  13. 13.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  14. 14.What is (−2/9) − (−5/7)? (a) 3/16 (b) −31/63 (c) −59/63 (d) 31/63
  15. 15.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −4 (c) 4 (d) −1/4
  16. 16.Which is bigger: −1/3 or −7/8? (a) −7/8 (b) −1/3
  17. 17.Is −9/9 positive or negative? (a) Positive (b) Negative
  18. 18.Which is smaller: −5/6 or 7/9? (a) −5/6 (b) 7/9
  19. 19.What is 4/9 + (−5/7)? (a) 17/63 (b) −1/16 (c) 73/63 (d) −17/63
  20. 20.Write −2/12 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −2/12 (d) 1/6
  21. 21.Is −4/3 positive or negative? (a) Positive (b) Negative
  22. 22.Which is bigger: −1/4 or −3/8? (a) −3/8 (b) −1/4
  23. 23.Which is bigger: −7/9 or −4/5? (a) −4/5 (b) −7/9
  24. 24.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −15/25 (c) 3/5 (d) −3/5
  25. 25.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  26. 26.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −5/30 (c) −1/6 (d) 1/6
  27. 27.Which is smaller: −7/8 or −5/9? (a) −5/9 (b) −7/8
  28. 28.Which is bigger: −2/9 or −1/4? (a) −2/9 (b) −1/4
  29. 29.What is (−1/3) − 1/4? (a) −2/7 (b) −1/12 (c) −7/12 (d) 7/12
  30. 30.Is −9/5 positive or negative? (a) Negative (b) Positive
  31. 31.Is 5/6 positive or negative? (a) Negative (b) Positive
  32. 32.Is 1/(−6) positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/5) + 3/8? (a) −23/40 (b) 2/13 (c) −7/40 (d) 7/40
  34. 34.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  35. 35.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 4/3 (d) 3/4
  36. 36.Which is bigger: −2/3 or −5/8? (a) −2/3 (b) −5/8
  37. 37.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 2 (c) −1/2 (d) 1/2
  38. 38.What is the additive inverse of 4/5? (a) −4/5 (b) 5/4 (c) 4/5 (d) −5/4
  39. 39.Which is smaller: −3/4 or −5/6? (a) −3/4 (b) −5/6
  40. 40.What is (−6/7) + 3/4? (a) 3/28 (b) −3/28 (c) −45/28 (d) −3/11

Answer key

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

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