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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 49 · 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.Which is bigger: −3/8 or 1/7? (a) 1/7 (b) −3/8
  2. 2.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) 8/9 (c) −9/8 (d) −8/9
  3. 3.What is 2/9 − (−2/5)? (a) −8/45 (b) 2/7 (c) −28/45 (d) 28/45
  4. 4.What is (−1/9) + 7/9? (a) −8/9 (b) 2/3 (c) 1/3 (d) −2/3
  5. 5.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −4/24 (c) −6/1 (d) −1/6
  6. 6.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −2/8 (d) −1/4
  7. 7.Write −2/6 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −2/6 (c) −3/1 (d) 1/3
  8. 8.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −4/5 (d) −8/10
  9. 9.Which is bigger: −6/7 or 4/7? (a) −6/7 (b) 4/7
  10. 10.What is 2/5 + (−4/7)? (a) 6/35 (b) −1/6 (c) 34/35 (d) −6/35
  11. 11.Which is bigger: −4/5 or 1/8? (a) −4/5 (b) 1/8
  12. 12.Write −25/30 in standard form (lowest terms, positive denominator). (a) −25/30 (b) 5/6 (c) −5/6 (d) −6/5
  13. 13.Which is bigger: −1/8 or −2/9? (a) −1/8 (b) −2/9
  14. 14.Which is bigger: −5/7 or −1/2? (a) −5/7 (b) −1/2
  15. 15.Which is smaller: −3/4 or −1/2? (a) −1/2 (b) −3/4
  16. 16.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −4/14 (c) 2/7 (d) −2/7
  17. 17.What is (−3/5) + 5/7? (a) −46/35 (b) −4/35 (c) 1/6 (d) 4/35
  18. 18.Is −2/3 positive or negative? (a) Negative (b) Positive
  19. 19.What is the reciprocal (multiplicative inverse) of −1/4? (a) −4 (b) 4 (c) −1/4 (d) 1/4
  20. 20.What is (−1/8) + (−5/6)? (a) 17/24 (b) −23/24 (c) −3/7 (d) 23/24
  21. 21.Which is bigger: −5/6 or −1/2? (a) −5/6 (b) −1/2
  22. 22.What is the additive inverse of −7/8? (a) −7/8 (b) 8/7 (c) −8/7 (d) 7/8
  23. 23.Is 7/(−7) positive or negative? (a) Negative (b) Positive
  24. 24.Is 1/3 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−5/8) + 1/4? (a) −3/8 (b) −1/3 (c) −7/8 (d) 3/8
  26. 26.Which is smaller: −5/8 or 4/7? (a) 4/7 (b) −5/8
  27. 27.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −4/3 (d) −18/24
  28. 28.Is −6/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.Write −6/54 in standard form (lowest terms, positive denominator). (a) −6/54 (b) −9/1 (c) 1/9 (d) −1/9
  30. 30.What is (−2/7) + 5/9? (a) −17/63 (b) 3/16 (c) −53/63 (d) 17/63
  31. 31.What is 1/8 + (−4/5)? (a) −3/13 (b) 37/40 (c) 27/40 (d) −27/40
  32. 32.What is (−1/6) + 5/7? (a) 4/13 (b) −37/42 (c) 23/42 (d) −23/42
  33. 33.Which is smaller: −5/7 or −8/9? (a) −5/7 (b) −8/9
  34. 34.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −2/5 (d) −6/15
  35. 35.Is 7/5 positive or negative? (a) Negative (b) Positive
  36. 36.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) 2/3 (d) −3/2
  37. 37.Write −6/30 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −6/30 (c) −5/1 (d) −1/5
  38. 38.Which is smaller: −8/9 or −1/3? (a) −8/9 (b) −1/3
  39. 39.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) −2/7 (d) 2/7
  40. 40.Which is bigger: −3/8 or −1/4? (a) −1/4 (b) −3/8

Answer key

  1. 1/7
  2. 9/8
  3. 28/45
  4. 2/3
  5. −1/6
  6. −1/4
  7. −1/3
  8. −4/5
  9. 4/7
  10. −6/35
  11. 1/8
  12. −5/6
  13. −1/8
  14. −1/2
  15. −3/4
  16. −2/7
  17. 4/35
  18. Negative
  19. −4
  20. −23/24
  21. −1/2
  22. 7/8
  23. Negative
  24. Positive
  25. −3/8
  26. −5/8
  27. −3/4
  28. Positive
  29. −1/9
  30. 17/63
  31. −27/40
  32. 23/42
  33. −8/9
  34. −2/5
  35. Positive
  36. −2/3
  37. −1/5
  38. −8/9
  39. −2/7
  40. −1/4

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