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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 422 · 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 (−7/8) − 4/7? (a) −81/56 (b) −11/15 (c) 81/56 (d) −17/56
  2. 2.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −32/36 (b) 8/9 (c) −8/9 (d) −9/8
  3. 3.Which is bigger: −1/3 or −1/7? (a) −1/7 (b) −1/3
  4. 4.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  5. 5.What is (−2/3) − 5/6? (a) 3/2 (b) 1/6 (c) −7/9 (d) −3/2
  6. 6.What is 7/8 + (−3/4)? (a) 1/3 (b) 13/8 (c) 1/8 (d) −1/8
  7. 7.What is 7/9 + (−2/5)? (a) −17/45 (b) 17/45 (c) 5/14 (d) 53/45
  8. 8.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −8/18 (c) −9/4 (d) −4/9
  9. 9.What is (−1/2) − (−1/2)? (a) −1 (b) 0
  10. 10.Is 4/9 positive or negative? (a) Negative (b) Positive
  11. 11.Is 4/3 positive or negative? (a) Negative (b) Positive
  12. 12.Is −6/3 positive or negative? (a) Negative (b) Positive
  13. 13.What is (−1/3) + (−3/5)? (a) −14/15 (b) 14/15 (c) 4/15 (d) −1/2
  14. 14.What is (−2/3) − 4/7? (a) −26/21 (b) 26/21 (c) −3/5 (d) −2/21
  15. 15.Write −30/54 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −30/54 (d) −5/9
  16. 16.Write −30/48 in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −30/48 (d) −8/5
  17. 17.What is (−4/5) + (−6/7)? (a) 58/35 (b) −58/35 (c) −5/6 (d) 2/35
  18. 18.Is 8/9 positive or negative? (a) Positive (b) Negative
  19. 19.Which is bigger: −1/2 or −5/8? (a) −5/8 (b) −1/2
  20. 20.What is the additive inverse of −5/6? (a) 5/6 (b) −6/5 (c) −5/6 (d) 6/5
  21. 21.What is 3/4 − (−5/7)? (a) 8/11 (b) −41/28 (c) 41/28 (d) 1/28
  22. 22.What is (−2/5) + 1/8? (a) 11/40 (b) −21/40 (c) −11/40 (d) −1/13
  23. 23.Is −9/7 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−5/6) − 4/5? (a) 49/30 (b) −49/30 (c) −1/30 (d) −9/11
  25. 25.What is (−3/7) − 2/5? (a) −1/35 (b) −5/12 (c) 29/35 (d) −29/35
  26. 26.What is 3/5 + (−7/8)? (a) 59/40 (b) −11/40 (c) 11/40 (d) −4/13
  27. 27.Is 9/3 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−3/4) + 4/5? (a) −31/20 (b) −1/20 (c) 1/20 (d) 1/9
  29. 29.Which is smaller: −5/7 or −2/3? (a) −5/7 (b) −2/3
  30. 30.Which is smaller: −7/9 or −1/4? (a) −1/4 (b) −7/9
  31. 31.Which is bigger: −1/4 or −3/7? (a) −1/4 (b) −3/7
  32. 32.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −2/10
  33. 33.Write −3/18 in standard form (lowest terms, positive denominator). (a) −3/18 (b) −1/6 (c) −6/1 (d) 1/6
  34. 34.Is 7/(−6) positive or negative? (a) Negative (b) Positive
  35. 35.What is 2/9 − (−2/9)? (a) 4/9 (b) 2/9 (c) −4/9 (d) 0
  36. 36.What is (−4/9) − 1/7? (a) −5/16 (b) −37/63 (c) −19/63 (d) 37/63
  37. 37.What is (−1/5) + 7/9? (a) −26/45 (b) 3/7 (c) 26/45 (d) −44/45
  38. 38.Which is smaller: −5/9 or −4/5? (a) −5/9 (b) −4/5
  39. 39.Is 9/9 positive or negative? (a) Negative (b) Positive
  40. 40.What is 4/7 − (−5/9)? (a) −71/63 (b) 9/16 (c) 71/63 (d) 1/63

Answer key

  1. −81/56
  2. −8/9
  3. −1/7
  4. Negative
  5. −3/2
  6. 1/8
  7. 17/45
  8. −4/9
  9. 0
  10. Positive
  11. Positive
  12. Negative
  13. −14/15
  14. −26/21
  15. −5/9
  16. −5/8
  17. −58/35
  18. Positive
  19. −1/2
  20. 5/6
  21. 41/28
  22. −11/40
  23. Negative
  24. −49/30
  25. −29/35
  26. −11/40
  27. Positive
  28. 1/20
  29. −5/7
  30. −7/9
  31. −1/4
  32. −1/5
  33. −1/6
  34. Negative
  35. 4/9
  36. −37/63
  37. 26/45
  38. −4/5
  39. Positive
  40. 71/63

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