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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 174 · 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) + (−4/7)? (a) 23/28 (b) 9/28 (c) −5/11 (d) −23/28
  2. 2.What is (−1/2) − (−3/4)? (a) −1/4 (b) 1/3 (c) −5/4 (d) 1/4
  3. 3.Is −9/3 positive or negative? (a) Positive (b) Negative
  4. 4.What is 6/7 − (−3/5)? (a) 9/35 (b) 51/35 (c) 3/4 (d) −51/35
  5. 5.What is (−4/5) + 2/7? (a) −1/6 (b) −38/35 (c) −18/35 (d) 18/35
  6. 6.Which is smaller: −3/5 or −7/9? (a) −3/5 (b) −7/9
  7. 7.What is (−5/7) + 1/8? (a) 33/56 (b) −4/15 (c) −33/56 (d) −47/56
  8. 8.Which is bigger: −4/7 or 8/9? (a) 8/9 (b) −4/7
  9. 9.Which is smaller: −2/7 or −4/7? (a) −4/7 (b) −2/7
  10. 10.What is (−3/4) − (−2/7)? (a) −29/28 (b) −1/11 (c) 13/28 (d) −13/28
  11. 11.What is (−1/4) − (−2/5)? (a) 3/20 (b) −3/20 (c) 1/9 (d) −13/20
  12. 12.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −2/9 (b) −6/27 (c) 2/9 (d) −9/2
  13. 13.Which is bigger: −5/8 or −1/6? (a) −5/8 (b) −1/6
  14. 14.What is (−2/7) + 5/7? (a) 3/7 (b) −1 (c) −3/7 (d) 3/14
  15. 15.Which is smaller: −5/6 or 8/9? (a) 8/9 (b) −5/6
  16. 16.Write −6/42 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −6/42 (c) −7/1 (d) −1/7
  17. 17.Write −10/14 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −10/14 (c) −5/7 (d) −7/5
  18. 18.What is (−1/4) − (−1/8)? (a) −1/8 (b) 1/8 (c) 0 (d) −3/8
  19. 19.What is the additive inverse of −7/8? (a) 8/7 (b) 7/8 (c) −7/8 (d) −8/7
  20. 20.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) 2/3 (d) −2/3
  21. 21.Is 2/2 positive or negative? (a) Positive (b) Negative
  22. 22.What is (−2/9) + 1/2? (a) −1/11 (b) 5/18 (c) −13/18 (d) −5/18
  23. 23.What is the additive inverse of 4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  24. 24.What is 4/9 − (−1/4)? (a) 5/13 (b) −25/36 (c) 7/36 (d) 25/36
  25. 25.What is 7/9 − (−5/9)? (a) −4/3 (b) 2/9 (c) 4/3 (d) 2/3
  26. 26.Is −5/6 positive or negative? (a) Positive (b) Negative
  27. 27.What is the additive inverse of 2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  28. 28.Is 5/9 positive or negative? (a) Negative (b) Positive
  29. 29.What is 5/8 + (−7/9)? (a) −2/17 (b) −11/72 (c) 101/72 (d) 11/72
  30. 30.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −2/10 (c) −5/1 (d) 1/5
  31. 31.What is the additive inverse of 2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  32. 32.What is (−6/7) − 1/2? (a) 19/14 (b) −7/9 (c) −19/14 (d) −5/14
  33. 33.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −7/6 (d) −6/7
  34. 34.What is (−7/9) + (−1/3)? (a) 10/9 (b) −2/3 (c) −10/9 (d) −4/9
  35. 35.Which is smaller: −2/3 or −1/5? (a) −1/5 (b) −2/3
  36. 36.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) −7/3 (c) −3/7 (d) 3/7
  37. 37.Which is smaller: −3/5 or −4/9? (a) −4/9 (b) −3/5
  38. 38.What is (−5/9) + (−4/7)? (a) 71/63 (b) −9/16 (c) −71/63 (d) 1/63
  39. 39.What is 1/3 + (−7/8)? (a) 13/24 (b) 29/24 (c) −6/11 (d) −13/24
  40. 40.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4

Answer key

  1. −23/28
  2. 1/4
  3. Negative
  4. 51/35
  5. −18/35
  6. −7/9
  7. −33/56
  8. 8/9
  9. −4/7
  10. −13/28
  11. 3/20
  12. −2/9
  13. −1/6
  14. 3/7
  15. −5/6
  16. −1/7
  17. −5/7
  18. −1/8
  19. 7/8
  20. 3/2
  21. Positive
  22. 5/18
  23. −4/7
  24. 25/36
  25. 4/3
  26. Negative
  27. −2/7
  28. Positive
  29. −11/72
  30. −1/5
  31. −2/3
  32. −19/14
  33. −6/7
  34. −10/9
  35. −2/3
  36. −7/3
  37. −3/5
  38. −71/63
  39. −13/24
  40. 1/4

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