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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 229 · 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 (−3/8) + 7/9? (a) 4/17 (b) −29/72 (c) 29/72 (d) −83/72
  2. 2.Which is smaller: −5/9 or 4/7? (a) 4/7 (b) −5/9
  3. 3.What is the additive inverse of −5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  4. 4.Write −10/18 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −10/18 (c) −5/9 (d) 5/9
  5. 5.What is the additive inverse of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  6. 6.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) −5/9 (b) −10/18 (c) −9/5 (d) 5/9
  7. 7.What is 1/4 + (−7/8)? (a) 9/8 (b) 5/8 (c) −5/8 (d) −1/2
  8. 8.What is 4/5 − (−1/8)? (a) 27/40 (b) 37/40 (c) −37/40 (d) 5/13
  9. 9.Is 8/5 positive or negative? (a) Negative (b) Positive
  10. 10.Write −9/12 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −9/12
  11. 11.Write −12/15 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −12/15 (c) −5/4 (d) −4/5
  12. 12.What is (−3/4) − 3/8? (a) −9/8 (b) −1/2 (c) 9/8 (d) −3/8
  13. 13.Is −7/5 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−4/9) + 1/4? (a) 7/36 (b) −25/36 (c) −7/36 (d) −3/13
  15. 15.What is the additive inverse of 1/9? (a) 9 (b) −1/9 (c) −9 (d) 1/9
  16. 16.What is (−4/9) − 3/5? (a) −1/2 (b) 47/45 (c) −47/45 (d) 7/45
  17. 17.What is 1/5 + (−4/7)? (a) −13/35 (b) −1/4 (c) 13/35 (d) 27/35
  18. 18.Is −9/3 positive or negative? (a) Positive (b) Negative
  19. 19.What is 2/3 + (−2/3)? (a) 0 (b) 4/3
  20. 20.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −5/6 (c) −25/30 (d) 5/6
  21. 21.Which is smaller: −3/8 or −7/8? (a) −3/8 (b) −7/8
  22. 22.What is the additive inverse of 1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  23. 23.Write −16/18 in standard form (lowest terms, positive denominator). (a) −16/18 (b) −9/8 (c) 8/9 (d) −8/9
  24. 24.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −6/18 (b) 1/3 (c) −3/1 (d) −1/3
  25. 25.What is the additive inverse of −7/9? (a) −7/9 (b) −9/7 (c) 7/9 (d) 9/7
  26. 26.What is 7/8 − (−7/9)? (a) 7/72 (b) 119/72 (c) 14/17 (d) −119/72
  27. 27.What is 1/3 + (−2/9)? (a) −1/9 (b) −1/12 (c) 5/9 (d) 1/9
  28. 28.Which is bigger: −4/5 or 3/4? (a) 3/4 (b) −4/5
  29. 29.What is 4/9 − (−6/7)? (a) 82/63 (b) −82/63 (c) −26/63 (d) 5/8
  30. 30.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  31. 31.What is (−1/8) + 7/8? (a) −3/4 (b) −1 (c) 3/4 (d) 3/8
  32. 32.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −4/9 (c) 4/9 (d) −20/45
  33. 33.What is the additive inverse of 1/6? (a) 1/6 (b) −1/6 (c) −6 (d) 6
  34. 34.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −12/42 (b) −7/2 (c) −2/7 (d) 2/7
  35. 35.What is the additive inverse of 5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  36. 36.What is 1/3 − (−8/9)? (a) 11/9 (b) −11/9 (c) −5/9 (d) 3/4
  37. 37.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −24/28
  38. 38.What is 5/7 + (−4/5)? (a) −3/35 (b) 53/35 (c) 3/35 (d) 1/12
  39. 39.Which is smaller: −6/7 or −7/9? (a) −6/7 (b) −7/9
  40. 40.Which is bigger: −4/5 or 5/7? (a) 5/7 (b) −4/5

Answer key

  1. 29/72
  2. −5/9
  3. 5/6
  4. −5/9
  5. −5/8
  6. −5/9
  7. −5/8
  8. 37/40
  9. Positive
  10. −3/4
  11. −4/5
  12. −9/8
  13. Negative
  14. −7/36
  15. −1/9
  16. −47/45
  17. −13/35
  18. Negative
  19. 0
  20. −5/6
  21. −7/8
  22. −1/5
  23. −8/9
  24. −1/3
  25. 7/9
  26. 119/72
  27. 1/9
  28. 3/4
  29. 82/63
  30. −2
  31. 3/4
  32. −4/9
  33. −1/6
  34. −2/7
  35. −5/6
  36. 11/9
  37. −6/7
  38. −3/35
  39. −6/7
  40. 5/7

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