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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 214 · 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.Which is bigger: −5/6 or −1/9? (a) −1/9 (b) −5/6
  2. 2.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  3. 3.Which is smaller: −5/7 or −3/5? (a) −5/7 (b) −3/5
  4. 4.Which is smaller: −5/7 or −5/6? (a) −5/6 (b) −5/7
  5. 5.What is (−2/7) − 3/5? (a) 11/35 (b) 31/35 (c) −5/12 (d) −31/35
  6. 6.Is 7/9 positive or negative? (a) Negative (b) Positive
  7. 7.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −30/42 (b) −7/5 (c) 5/7 (d) −5/7
  8. 8.Which is bigger: −5/6 or 3/7? (a) 3/7 (b) −5/6
  9. 9.What is 1/8 + (−1/3)? (a) 5/24 (b) 11/24 (c) −5/24 (d) 0
  10. 10.What is (−3/4) + (−7/9)? (a) −10/13 (b) 55/36 (c) −55/36 (d) 1/36
  11. 11.What is (−8/9) + 7/9? (a) −1/9 (b) −1/18 (c) 1/9 (d) −5/3
  12. 12.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −30/36 (c) −6/5 (d) −5/6
  13. 13.Which is smaller: −3/4 or 2/9? (a) 2/9 (b) −3/4
  14. 14.Which is smaller: −3/5 or −6/7? (a) −6/7 (b) −3/5
  15. 15.What is (−2/5) + 3/5? (a) −1/5 (b) −1 (c) 1/10 (d) 1/5
  16. 16.Is −3/2 positive or negative? (a) Negative (b) Positive
  17. 17.What is the additive inverse of 1/7? (a) −1/7 (b) 7 (c) −7 (d) 1/7
  18. 18.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) −3/2 (c) 3/2 (d) 2/3
  19. 19.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 7/5 (c) 5/7 (d) −5/7
  20. 20.Which is bigger: −3/7 or 2/3? (a) 2/3 (b) −3/7
  21. 21.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −8/1 (d) −2/16
  22. 22.Is −8/3 positive or negative? (a) Positive (b) Negative
  23. 23.Which is bigger: −1/4 or −3/4? (a) −3/4 (b) −1/4
  24. 24.Is −4/7 positive or negative? (a) Positive (b) Negative
  25. 25.What is 3/5 + (−7/8)? (a) −11/40 (b) 59/40 (c) 11/40 (d) −4/13
  26. 26.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  27. 27.What is the reciprocal (multiplicative inverse) of −5/6? (a) −6/5 (b) 6/5 (c) −5/6 (d) 5/6
  28. 28.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) 8/9 (c) −24/27 (d) −9/8
  29. 29.Which is smaller: −4/5 or −1/2? (a) −1/2 (b) −4/5
  30. 30.What is (−1/7) + (−8/9)? (a) −9/16 (b) 65/63 (c) −65/63 (d) 47/63
  31. 31.What is (−3/7) − 8/9? (a) 29/63 (b) −11/16 (c) 83/63 (d) −83/63
  32. 32.What is (−1/4) − (−1/2)? (a) −3/4 (b) 1/4 (c) 0 (d) −1/4
  33. 33.What is 5/6 − (−6/7)? (a) −1/42 (b) 71/42 (c) −71/42 (d) 11/13
  34. 34.Which is smaller: −5/6 or −5/7? (a) −5/7 (b) −5/6
  35. 35.What is (−8/9) + (−2/3)? (a) 14/9 (b) −2/9 (c) −5/6 (d) −14/9
  36. 36.What is 2/9 − (−4/7)? (a) −22/63 (b) 3/8 (c) 50/63 (d) −50/63
  37. 37.What is (−3/7) − (−2/5)? (a) −1/35 (b) −29/35 (c) −1/12 (d) 1/35
  38. 38.Which is bigger: −3/5 or −1/4? (a) −3/5 (b) −1/4
  39. 39.Which is smaller: −1/8 or −2/7? (a) −2/7 (b) −1/8
  40. 40.What is (−5/7) + 4/9? (a) −73/63 (b) −1/16 (c) −17/63 (d) 17/63

Answer key

  1. −1/9
  2. Negative
  3. −5/7
  4. −5/6
  5. −31/35
  6. Positive
  7. −5/7
  8. 3/7
  9. −5/24
  10. −55/36
  11. −1/9
  12. −5/6
  13. −3/4
  14. −6/7
  15. 1/5
  16. Negative
  17. −1/7
  18. 3/2
  19. 7/5
  20. 2/3
  21. −1/8
  22. Negative
  23. −1/4
  24. Negative
  25. −11/40
  26. 5/4
  27. −6/5
  28. −8/9
  29. −4/5
  30. −65/63
  31. −83/63
  32. 1/4
  33. 71/42
  34. −5/6
  35. −14/9
  36. 50/63
  37. −1/35
  38. −1/4
  39. −2/7
  40. −17/63

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