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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 702 · 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 −2/10 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −2/10 (c) −1/5 (d) −5/1
  2. 2.Which is bigger: −4/7 or 4/9? (a) 4/9 (b) −4/7
  3. 3.What is (−2/3) − (−3/4)? (a) 1/12 (b) −1/12 (c) 1/7 (d) −17/12
  4. 4.What is the reciprocal (multiplicative inverse) of −1/9? (a) 9 (b) 1/9 (c) −9 (d) −1/9
  5. 5.Which is bigger: −1/8 or 7/8? (a) −1/8 (b) 7/8
  6. 6.Which is bigger: −1/7 or 4/9? (a) 4/9 (b) −1/7
  7. 7.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  8. 8.What is (−1/3) + (−2/3)? (a) −1/2 (b) −1 (c) 1/3 (d) 1
  9. 9.Write −6/27 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −6/27 (c) −9/2 (d) −2/9
  10. 10.Is −2/6 positive or negative? (a) Positive (b) Negative
  11. 11.What is 4/7 + (−2/3)? (a) 1/5 (b) −2/21 (c) 26/21 (d) 2/21
  12. 12.Write −15/21 in standard form (lowest terms, positive denominator). (a) −15/21 (b) −5/7 (c) −7/5 (d) 5/7
  13. 13.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −25/40 (c) 5/8 (d) −5/8
  14. 14.What is (−7/8) + (−4/5)? (a) −67/40 (b) −3/40 (c) −11/13 (d) 67/40
  15. 15.What is (−1/4) + (−1/4)? (a) 1/2 (b) 0 (c) −1/4 (d) −1/2
  16. 16.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −3/18 (d) −1/6
  17. 17.Which is smaller: −2/9 or −5/9? (a) −5/9 (b) −2/9
  18. 18.Which is bigger: −3/5 or 5/6? (a) −3/5 (b) 5/6
  19. 19.What is 5/9 + (−1/9)? (a) −4/9 (b) 2/3 (c) 4/9 (d) 2/9
  20. 20.What is 4/9 + (−6/7)? (a) 26/63 (b) −26/63 (c) −1/8 (d) 82/63
  21. 21.Is −9/5 positive or negative? (a) Positive (b) Negative
  22. 22.Is 1/4 positive or negative? (a) Negative (b) Positive
  23. 23.Which is smaller: −2/7 or −7/9? (a) −7/9 (b) −2/7
  24. 24.What is (−1/6) + 2/7? (a) −19/42 (b) 1/13 (c) 5/42 (d) −5/42
  25. 25.What is (−1/4) + (−1/7)? (a) −3/28 (b) −2/11 (c) −11/28 (d) 11/28
  26. 26.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) −1/2 (c) −2/1 (d) 1/2
  27. 27.What is the additive inverse of −7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  28. 28.What is the additive inverse of −1/3? (a) −1/3 (b) −3 (c) 3 (d) 1/3
  29. 29.Which is bigger: −1/6 or −7/8? (a) −7/8 (b) −1/6
  30. 30.What is 5/7 + (−4/5)? (a) 53/35 (b) 3/35 (c) −3/35 (d) 1/12
  31. 31.Write −6/16 in standard form (lowest terms, positive denominator). (a) −6/16 (b) 3/8 (c) −8/3 (d) −3/8
  32. 32.What is (−5/9) − (−5/7)? (a) −10/63 (b) 10/63 (c) −80/63 (d) 0
  33. 33.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −12/14
  34. 34.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −6/54 (c) −1/9 (d) −9/1
  35. 35.What is the additive inverse of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  36. 36.What is (−4/9) − (−1/5)? (a) −3/14 (b) −29/45 (c) −11/45 (d) 11/45
  37. 37.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −24/54 (d) −4/9
  38. 38.What is (−2/3) + (−2/5)? (a) −4/15 (b) −1/2 (c) −16/15 (d) 16/15
  39. 39.What is (−2/9) − 2/3? (a) 8/9 (b) −1/3 (c) −8/9 (d) 4/9
  40. 40.Which is smaller: −1/9 or 1/2? (a) 1/2 (b) −1/9

Answer key

  1. −1/5
  2. 4/9
  3. 1/12
  4. −9
  5. 7/8
  6. 4/9
  7. 6/5
  8. −1
  9. −2/9
  10. Negative
  11. −2/21
  12. −5/7
  13. −5/8
  14. −67/40
  15. −1/2
  16. −1/6
  17. −5/9
  18. 5/6
  19. 4/9
  20. −26/63
  21. Negative
  22. Positive
  23. −7/9
  24. 5/42
  25. −11/28
  26. −1/2
  27. 7/9
  28. 1/3
  29. −1/6
  30. −3/35
  31. −3/8
  32. 10/63
  33. −6/7
  34. −1/9
  35. −3/4
  36. −11/45
  37. −4/9
  38. −16/15
  39. −8/9
  40. −1/9

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