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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 678 · 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 7/9 + (−2/9)? (a) 5/9 (b) 5/18 (c) 1 (d) −5/9
  2. 2.Which is smaller: −1/5 or 8/9? (a) 8/9 (b) −1/5
  3. 3.Is 8/6 positive or negative? (a) Positive (b) Negative
  4. 4.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8
  5. 5.Is 5/(−7) positive or negative? (a) Negative (b) Positive
  6. 6.What is 1/5 − (−1/5)? (a) 1/5 (b) 0 (c) −2/5 (d) 2/5
  7. 7.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) 3/5 (d) −9/15
  8. 8.Which is smaller: −3/7 or 1/6? (a) −3/7 (b) 1/6
  9. 9.Which is bigger: −1/2 or −7/9? (a) −1/2 (b) −7/9
  10. 10.What is 3/7 + (−5/9)? (a) −8/63 (b) 8/63 (c) 62/63 (d) −1/8
  11. 11.Is 5/4 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−6/7) − (−7/8)? (a) −97/56 (b) 1/56 (c) −1/56 (d) 1/15
  13. 13.Which is bigger: −1/3 or 3/8? (a) −1/3 (b) 3/8
  14. 14.Is −7/(−9) positive or negative? (a) Negative (b) Positive
  15. 15.Is −3/2 positive or negative? (a) Positive (b) Negative
  16. 16.What is 8/9 + (−8/9)? (a) 16/9 (b) 0
  17. 17.Which is smaller: −3/7 or −4/7? (a) −4/7 (b) −3/7
  18. 18.What is (−1/3) − (−3/8)? (a) −1/24 (b) −17/24 (c) 1/24 (d) 2/11
  19. 19.What is the additive inverse of 3/5? (a) 5/3 (b) −3/5 (c) 3/5 (d) −5/3
  20. 20.Is 4/(−8) positive or negative? (a) Positive (b) Negative
  21. 21.Which is smaller: −8/9 or −1/4? (a) −8/9 (b) −1/4
  22. 22.Which is bigger: −3/5 or −1/3? (a) −1/3 (b) −3/5
  23. 23.Which is bigger: −1/3 or 2/3? (a) −1/3 (b) 2/3
  24. 24.Which is bigger: −1/3 or −4/9? (a) −4/9 (b) −1/3
  25. 25.What is 5/8 + (−7/8)? (a) 1/4 (b) −1/8 (c) −1/4 (d) 3/2
  26. 26.Which is smaller: −1/8 or 7/8? (a) −1/8 (b) 7/8
  27. 27.What is (−2/7) + 2/7? (a) −4/7 (b) 0
  28. 28.What is (−6/7) + (−6/7)? (a) −6/7 (b) −12/7 (c) 0 (d) 12/7
  29. 29.Is 9/(−8) positive or negative? (a) Negative (b) Positive
  30. 30.What is 6/7 + (−1/5)? (a) −23/35 (b) 37/35 (c) 5/12 (d) 23/35
  31. 31.What is (−3/7) + 7/9? (a) 1/4 (b) 22/63 (c) −76/63 (d) −22/63
  32. 32.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) 5/9 (d) −5/9
  33. 33.Which is bigger: −4/5 or −1/4? (a) −4/5 (b) −1/4
  34. 34.What is (−5/6) − 7/8? (a) 41/24 (b) 1/24 (c) −41/24 (d) −6/7
  35. 35.Write −15/21 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) 5/7 (d) −15/21
  36. 36.Which is bigger: −8/9 or 7/8? (a) −8/9 (b) 7/8
  37. 37.Write −2/8 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −4/1 (d) −2/8
  38. 38.What is (−6/7) + 1/4? (a) 17/28 (b) −5/11 (c) −17/28 (d) −31/28
  39. 39.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 8/3 (c) 3/8 (d) −3/8
  40. 40.Which is bigger: −3/8 or 2/9? (a) 2/9 (b) −3/8

Answer key

  1. 5/9
  2. −1/5
  3. Positive
  4. 8/7
  5. Negative
  6. 2/5
  7. −3/5
  8. −3/7
  9. −1/2
  10. −8/63
  11. Positive
  12. 1/56
  13. 3/8
  14. Positive
  15. Negative
  16. 0
  17. −4/7
  18. 1/24
  19. −3/5
  20. Negative
  21. −8/9
  22. −1/3
  23. 2/3
  24. −1/3
  25. −1/4
  26. −1/8
  27. 0
  28. −12/7
  29. Negative
  30. 23/35
  31. 22/63
  32. −5/9
  33. −1/4
  34. −41/24
  35. −5/7
  36. 7/8
  37. −1/4
  38. −17/28
  39. 8/3
  40. 2/9

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