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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 291 · 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.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −3/24 (c) 1/8 (d) −1/8
  2. 2.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −12/14 (d) −6/7
  3. 3.What is 1/2 + (−7/9)? (a) 23/18 (b) 5/18 (c) −5/18 (d) −6/11
  4. 4.Is −5/6 positive or negative? (a) Negative (b) Positive
  5. 5.What is (−2/9) + 5/6? (a) 1/5 (b) 11/18 (c) −11/18 (d) −19/18
  6. 6.What is (−2/7) + 1/5? (a) 3/35 (b) −17/35 (c) −3/35 (d) −1/12
  7. 7.What is the additive inverse of 2/5? (a) 2/5 (b) 5/2 (c) −2/5 (d) −5/2
  8. 8.Which is smaller: −1/3 or 4/7? (a) −1/3 (b) 4/7
  9. 9.Is 8/(−8) positive or negative? (a) Positive (b) Negative
  10. 10.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) −7/5 (c) 7/5 (d) 5/7
  11. 11.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  12. 12.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  13. 13.Is 3/(−4) positive or negative? (a) Negative (b) Positive
  14. 14.Which is smaller: −6/7 or −2/7? (a) −6/7 (b) −2/7
  15. 15.What is (−1/8) + (−4/5)? (a) −5/13 (b) −37/40 (c) 27/40 (d) 37/40
  16. 16.What is the additive inverse of −2/9? (a) 2/9 (b) 9/2 (c) −9/2 (d) −2/9
  17. 17.What is (−1/3) − (−1/8)? (a) −11/24 (b) −5/24 (c) 0 (d) 5/24
  18. 18.Which is smaller: −7/9 or −1/4? (a) −1/4 (b) −7/9
  19. 19.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −4/6
  20. 20.What is the additive inverse of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  21. 21.What is the additive inverse of 5/7? (a) −5/7 (b) −7/5 (c) 5/7 (d) 7/5
  22. 22.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −6/8 (d) −4/3
  23. 23.What is 2/3 − (−1/3)? (a) 1/3 (b) 1/2 (c) 1 (d) −1
  24. 24.What is (−3/5) + (−3/4)? (a) −27/20 (b) 27/20 (c) 3/20 (d) −2/3
  25. 25.What is the additive inverse of 4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7
  26. 26.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) 1/2 (d) −4/8
  27. 27.What is (−2/7) + 1/2? (a) −11/14 (b) 3/14 (c) −3/14 (d) −1/9
  28. 28.What is (−2/9) + (−1/3)? (a) 5/9 (b) −1/4 (c) −5/9 (d) 1/9
  29. 29.What is 2/5 + (−6/7)? (a) 16/35 (b) −1/3 (c) 44/35 (d) −16/35
  30. 30.Which is bigger: −1/7 or −1/8? (a) −1/7 (b) −1/8
  31. 31.Which is bigger: −1/5 or 3/4? (a) 3/4 (b) −1/5
  32. 32.What is 2/3 + (−8/9)? (a) −1/2 (b) 2/9 (c) −2/9 (d) 14/9
  33. 33.What is (−1/3) − (−7/9)? (a) 4/9 (b) −10/9 (c) −4/9 (d) 1/2
  34. 34.What is 7/8 + (−1/9)? (a) −55/72 (b) 55/72 (c) 71/72 (d) 6/17
  35. 35.What is (−1/2) − 2/3? (a) −7/6 (b) 1/6 (c) 7/6 (d) −3/5
  36. 36.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) 3/5 (c) −5/3 (d) −3/5
  37. 37.Which is smaller: −7/8 or 2/3? (a) 2/3 (b) −7/8
  38. 38.What is 5/8 − (−3/7)? (a) 59/56 (b) 11/56 (c) −59/56 (d) 8/15
  39. 39.What is 1/2 + (−1/4)? (a) −1/4 (b) 3/4 (c) 1/4 (d) 0
  40. 40.What is (−6/7) − (−3/4)? (a) −3/28 (b) −3/11 (c) −45/28 (d) 3/28

Answer key

  1. −1/8
  2. −6/7
  3. −5/18
  4. Negative
  5. 11/18
  6. −3/35
  7. −2/5
  8. −1/3
  9. Negative
  10. 7/5
  11. 7/6
  12. Negative
  13. Negative
  14. −6/7
  15. −37/40
  16. 2/9
  17. −5/24
  18. −7/9
  19. −2/3
  20. −3/8
  21. −5/7
  22. −3/4
  23. 1
  24. −27/20
  25. −4/7
  26. −1/2
  27. 3/14
  28. −5/9
  29. −16/35
  30. −1/8
  31. 3/4
  32. −2/9
  33. 4/9
  34. 55/72
  35. −7/6
  36. −3/5
  37. −7/8
  38. 59/56
  39. 1/4
  40. −3/28

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