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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 189 · 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 (−1/4) + 2/5? (a) 3/20 (b) −3/20 (c) 1/9 (d) −13/20
  2. 2.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −12/20
  3. 3.What is (−4/9) − (−2/9)? (a) −1/9 (b) 2/9 (c) −2/3 (d) −2/9
  4. 4.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −4/28 (b) −1/7 (c) 1/7 (d) −7/1
  5. 5.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  6. 6.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −9/15
  7. 7.What is the additive inverse of 1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  8. 8.What is the additive inverse of 7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  9. 9.What is (−8/9) − (−5/8)? (a) 19/72 (b) −109/72 (c) −3/17 (d) −19/72
  10. 10.Which is smaller: −4/7 or 2/5? (a) −4/7 (b) 2/5
  11. 11.Is 2/8 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−5/8) + 4/7? (a) −67/56 (b) 3/56 (c) −1/15 (d) −3/56
  13. 13.Which is bigger: −1/9 or −5/7? (a) −1/9 (b) −5/7
  14. 14.What is 3/5 + (−6/7)? (a) 9/35 (b) −1/4 (c) −9/35 (d) 51/35
  15. 15.What is (−4/7) − (−3/4)? (a) −5/28 (b) 5/28 (c) −1/11 (d) −37/28
  16. 16.What is the additive inverse of 1/7? (a) 1/7 (b) 7 (c) −7 (d) −1/7
  17. 17.What is 3/7 − (−6/7)? (a) 9/14 (b) −3/7 (c) 9/7 (d) −9/7
  18. 18.What is 3/8 − (−1/3)? (a) 17/24 (b) 1/24 (c) 4/11 (d) −17/24
  19. 19.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −6/7 (c) −7/6 (d) 6/7
  20. 20.Which is bigger: −1/9 or −2/3? (a) −1/9 (b) −2/3
  21. 21.Write −2/12 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −1/6 (d) −2/12
  22. 22.Which is bigger: −2/5 or −1/4? (a) −2/5 (b) −1/4
  23. 23.Which is smaller: −4/9 or −2/5? (a) −4/9 (b) −2/5
  24. 24.Is −8/(−5) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/5) + (−1/2)? (a) −7/10 (b) 3/10 (c) 7/10 (d) −2/7
  26. 26.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) −3/8 (c) −8/3 (d) 8/3
  27. 27.Which is bigger: −1/2 or 4/5? (a) −1/2 (b) 4/5
  28. 28.Which is bigger: −1/2 or −1/3? (a) −1/2 (b) −1/3
  29. 29.What is (−1/6) − 3/4? (a) −2/5 (b) −11/12 (c) 7/12 (d) 11/12
  30. 30.Which is smaller: −4/5 or 1/4? (a) 1/4 (b) −4/5
  31. 31.What is 1/7 + (−3/4)? (a) 17/28 (b) 25/28 (c) −2/11 (d) −17/28
  32. 32.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −15/18 (d) 5/6
  33. 33.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) −5/1 (c) −1/5 (d) 1/5
  34. 34.Which is bigger: −2/3 or −5/7? (a) −5/7 (b) −2/3
  35. 35.Which is smaller: −3/7 or −1/5? (a) −1/5 (b) −3/7
  36. 36.Which is smaller: −7/8 or −7/9? (a) −7/8 (b) −7/9
  37. 37.Which is smaller: −3/7 or 1/5? (a) −3/7 (b) 1/5
  38. 38.What is 1/7 − (−7/8)? (a) −41/56 (b) 8/15 (c) −57/56 (d) 57/56
  39. 39.Is −4/3 positive or negative? (a) Positive (b) Negative
  40. 40.Is −9/6 positive or negative? (a) Negative (b) Positive

Answer key

  1. 3/20
  2. −3/5
  3. −2/9
  4. −1/7
  5. −7/5
  6. −3/5
  7. −1/2
  8. −7/8
  9. −19/72
  10. −4/7
  11. Positive
  12. −3/56
  13. −1/9
  14. −9/35
  15. 5/28
  16. −1/7
  17. 9/7
  18. 17/24
  19. 7/6
  20. −1/9
  21. −1/6
  22. −1/4
  23. −4/9
  24. Positive
  25. −7/10
  26. −8/3
  27. 4/5
  28. −1/3
  29. −11/12
  30. −4/5
  31. −17/28
  32. −5/6
  33. −1/5
  34. −2/3
  35. −3/7
  36. −7/8
  37. −3/7
  38. 57/56
  39. Negative
  40. Negative

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