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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 329 · 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 (−4/5) + (−3/7)? (a) −7/12 (b) −43/35 (c) −13/35 (d) 43/35
  2. 2.Which is bigger: −7/8 or −1/7? (a) −7/8 (b) −1/7
  3. 3.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −12/42
  4. 4.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −3/12 (d) 1/4
  5. 5.What is (−5/8) + (−3/8)? (a) −1 (b) 1 (c) −1/2 (d) −1/4
  6. 6.Which is bigger: −1/8 or 6/7? (a) 6/7 (b) −1/8
  7. 7.What is (−6/7) + 2/7? (a) −2/7 (b) 4/7 (c) −8/7 (d) −4/7
  8. 8.Which is smaller: −1/9 or 1/7? (a) 1/7 (b) −1/9
  9. 9.What is (−1/7) + (−4/5)? (a) −5/12 (b) 23/35 (c) 33/35 (d) −33/35
  10. 10.What is 1/7 + (−3/8)? (a) −2/15 (b) 13/56 (c) 29/56 (d) −13/56
  11. 11.What is the additive inverse of 1/5? (a) −1/5 (b) −5 (c) 5 (d) 1/5
  12. 12.What is (−1/7) + (−7/8)? (a) 57/56 (b) −57/56 (c) −8/15 (d) 41/56
  13. 13.What is the additive inverse of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  14. 14.Write −12/54 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −9/2 (d) −12/54
  15. 15.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  16. 16.Write −16/36 in standard form (lowest terms, positive denominator). (a) −16/36 (b) 4/9 (c) −9/4 (d) −4/9
  17. 17.Which is smaller: −5/8 or −4/7? (a) −4/7 (b) −5/8
  18. 18.What is 3/8 − (−2/7)? (a) −37/56 (b) 37/56 (c) 5/56 (d) 1/3
  19. 19.Write 5/(−40) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −5/40 (c) −1/8 (d) −8/1
  20. 20.Which is smaller: −2/5 or 3/7? (a) 3/7 (b) −2/5
  21. 21.What is (−2/5) − 1/3? (a) −3/8 (b) −1/15 (c) 11/15 (d) −11/15
  22. 22.What is the additive inverse of −1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  23. 23.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −42/54 (c) 7/9 (d) −9/7
  24. 24.What is the reciprocal (multiplicative inverse) of 2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  25. 25.Which is smaller: −4/7 or 2/5? (a) −4/7 (b) 2/5
  26. 26.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −1/4 (c) −4/1 (d) 1/4
  27. 27.Write −3/24 in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −1/8 (d) −3/24
  28. 28.Is −7/(−7) positive or negative? (a) Negative (b) Positive
  29. 29.What is (−2/5) + (−4/5)? (a) −6/5 (b) 2/5 (c) −3/5 (d) 6/5
  30. 30.What is 5/6 − (−1/3)? (a) 2/3 (b) −7/6 (c) 1/2 (d) 7/6
  31. 31.Which is smaller: −7/9 or −3/4? (a) −3/4 (b) −7/9
  32. 32.Which is bigger: −5/9 or −2/5? (a) −2/5 (b) −5/9
  33. 33.What is the additive inverse of −1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  34. 34.Is −1/(−5) positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −2/5 or −1/4? (a) −1/4 (b) −2/5
  36. 36.What is (−5/9) + 2/7? (a) −3/16 (b) 17/63 (c) −17/63 (d) −53/63
  37. 37.Which is bigger: −4/5 or 1/5? (a) 1/5 (b) −4/5
  38. 38.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  39. 39.What is (−8/9) + 6/7? (a) 2/63 (b) −110/63 (c) −2/63 (d) −1/8
  40. 40.Which is smaller: −1/5 or 1/2? (a) −1/5 (b) 1/2

Answer key

  1. −43/35
  2. −1/7
  3. −2/7
  4. −1/4
  5. −1
  6. 6/7
  7. −4/7
  8. −1/9
  9. −33/35
  10. −13/56
  11. −1/5
  12. −57/56
  13. −1/8
  14. −2/9
  15. Negative
  16. −4/9
  17. −5/8
  18. 37/56
  19. −1/8
  20. −2/5
  21. −11/15
  22. 1/2
  23. −7/9
  24. 5/2
  25. −4/7
  26. −1/4
  27. −1/8
  28. Positive
  29. −6/5
  30. 7/6
  31. −7/9
  32. −2/5
  33. 1/8
  34. Positive
  35. −1/4
  36. −17/63
  37. 1/5
  38. −8
  39. −2/63
  40. −1/5

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