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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 284 · 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 smaller: −4/9 or 3/5? (a) −4/9 (b) 3/5
  2. 2.Which is bigger: −5/7 or 8/9? (a) −5/7 (b) 8/9
  3. 3.What is the additive inverse of 1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  4. 4.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  5. 5.Write −16/20 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −16/20 (c) −5/4 (d) 4/5
  6. 6.What is the reciprocal (multiplicative inverse) of −3/4? (a) −3/4 (b) 4/3 (c) 3/4 (d) −4/3
  7. 7.What is (−2/7) − (−2/9)? (a) −32/63 (b) −4/63 (c) 4/63 (d) 0
  8. 8.Which is bigger: −4/5 or −1/3? (a) −1/3 (b) −4/5
  9. 9.Write 25/(−30) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −25/30 (c) 5/6 (d) −5/6
  10. 10.Which is smaller: −3/4 or 1/8? (a) 1/8 (b) −3/4
  11. 11.Which is bigger: −5/6 or 1/8? (a) −5/6 (b) 1/8
  12. 12.Write −5/35 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −5/35 (d) −1/7
  13. 13.Which is bigger: −1/3 or −3/4? (a) −3/4 (b) −1/3
  14. 14.Is 5/(−3) positive or negative? (a) Positive (b) Negative
  15. 15.What is 2/9 + (−1/5)? (a) 19/45 (b) 1/45 (c) −1/45 (d) 1/14
  16. 16.Write −15/24 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −15/24 (d) 5/8
  17. 17.What is 4/5 − (−2/7)? (a) −38/35 (b) 18/35 (c) 1/2 (d) 38/35
  18. 18.Write −6/36 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −6/36 (c) −1/6 (d) 1/6
  19. 19.What is (−7/8) + 1/3? (a) −6/11 (b) 13/24 (c) −29/24 (d) −13/24
  20. 20.What is 5/9 + (−5/7)? (a) 10/63 (b) 80/63 (c) 0 (d) −10/63
  21. 21.Which is smaller: −1/9 or −2/3? (a) −2/3 (b) −1/9
  22. 22.Which is bigger: −3/4 or 3/7? (a) −3/4 (b) 3/7
  23. 23.What is the additive inverse of 1/7? (a) −7 (b) 1/7 (c) 7 (d) −1/7
  24. 24.Write −10/35 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −10/35 (c) −7/2 (d) −2/7
  25. 25.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  26. 26.What is the reciprocal (multiplicative inverse) of 5/7? (a) −7/5 (b) 5/7 (c) 7/5 (d) −5/7
  27. 27.Is −1/5 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−2/3) + (−7/9)? (a) −13/9 (b) −3/4 (c) 1/9 (d) 13/9
  29. 29.Which is bigger: −5/6 or −4/9? (a) −5/6 (b) −4/9
  30. 30.Which is bigger: −1/9 or −4/5? (a) −4/5 (b) −1/9
  31. 31.What is (−4/5) + 1/6? (a) −19/30 (b) −3/11 (c) −29/30 (d) 19/30
  32. 32.Which is smaller: −5/8 or −3/5? (a) −3/5 (b) −5/8
  33. 33.Which is smaller: −2/3 or −2/7? (a) −2/3 (b) −2/7
  34. 34.Which is bigger: −4/5 or −4/7? (a) −4/5 (b) −4/7
  35. 35.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  36. 36.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −6/54 (d) 1/9
  37. 37.What is 1/7 + (−4/5)? (a) −1/4 (b) 33/35 (c) −23/35 (d) 23/35
  38. 38.What is (−3/5) − 3/8? (a) 39/40 (b) −6/13 (c) −9/40 (d) −39/40
  39. 39.What is 3/5 − (−1/3)? (a) −14/15 (b) 14/15 (c) 4/15 (d) 1/2
  40. 40.Which is smaller: −1/6 or −7/8? (a) −1/6 (b) −7/8

Answer key

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

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