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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 707 · 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.Is 6/(−8) positive or negative? (a) Positive (b) Negative
  2. 2.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) 8/5 (c) −8/5 (d) 5/8
  3. 3.Write −6/8 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −6/8 (c) 3/4 (d) −4/3
  4. 4.What is (−3/4) − 4/5? (a) 1/20 (b) 31/20 (c) −31/20 (d) −7/9
  5. 5.What is (−2/3) + 7/8? (a) −5/24 (b) −37/24 (c) 5/11 (d) 5/24
  6. 6.Write −2/16 in standard form (lowest terms, positive denominator). (a) −2/16 (b) −8/1 (c) −1/8 (d) 1/8
  7. 7.What is the additive inverse of 6/7? (a) 7/6 (b) −6/7 (c) 6/7 (d) −7/6
  8. 8.Which is bigger: −4/5 or 2/5? (a) −4/5 (b) 2/5
  9. 9.Which is smaller: −1/6 or −1/5? (a) −1/5 (b) −1/6
  10. 10.What is (−1/8) + 1/5? (a) −3/40 (b) −13/40 (c) 0 (d) 3/40
  11. 11.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −5/9 (b) 5/9 (c) −9/5 (d) −30/54
  12. 12.What is 2/5 + (−2/3)? (a) 0 (b) −4/15 (c) 4/15 (d) 16/15
  13. 13.Write −5/35 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) 1/7 (d) −5/35
  14. 14.What is 5/7 − (−2/9)? (a) 59/63 (b) 31/63 (c) 7/16 (d) −59/63
  15. 15.What is 4/9 + (−7/9)? (a) 11/9 (b) −1/6 (c) 1/3 (d) −1/3
  16. 16.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) −1/8 (c) 1/8 (d) −8
  17. 17.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  18. 18.What is 6/7 + (−3/4)? (a) 3/11 (b) −3/28 (c) 3/28 (d) 45/28
  19. 19.Which is bigger: −7/8 or −1/9? (a) −1/9 (b) −7/8
  20. 20.What is (−5/7) − 3/8? (a) 61/56 (b) −8/15 (c) −19/56 (d) −61/56
  21. 21.Write −6/21 in standard form (lowest terms, positive denominator). (a) −2/7 (b) 2/7 (c) −6/21 (d) −7/2
  22. 22.What is (−5/9) + 8/9? (a) −13/9 (b) −1/3 (c) 1/6 (d) 1/3
  23. 23.What is the additive inverse of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  24. 24.What is the additive inverse of −1/6? (a) −1/6 (b) −6 (c) 6 (d) 1/6
  25. 25.What is (−2/7) + 1/9? (a) −1/16 (b) −11/63 (c) −25/63 (d) 11/63
  26. 26.What is 3/4 − (−2/9)? (a) 19/36 (b) 35/36 (c) 5/13 (d) −35/36
  27. 27.What is 4/7 + (−2/9)? (a) −22/63 (b) 22/63 (c) 1/8 (d) 50/63
  28. 28.What is (−7/9) + (−4/7)? (a) 85/63 (b) −85/63 (c) −11/16 (d) −13/63
  29. 29.What is (−8/9) + 1/5? (a) −1/2 (b) −49/45 (c) 31/45 (d) −31/45
  30. 30.Which is bigger: −5/6 or 2/5? (a) 2/5 (b) −5/6
  31. 31.What is (−1/3) + (−3/8)? (a) 1/24 (b) −4/11 (c) 17/24 (d) −17/24
  32. 32.Which is bigger: −2/5 or −2/9? (a) −2/5 (b) −2/9
  33. 33.What is (−1/8) + (−4/7)? (a) −39/56 (b) 25/56 (c) −1/3 (d) 39/56
  34. 34.Is −8/(−4) positive or negative? (a) Positive (b) Negative
  35. 35.What is (−3/4) − (−3/7)? (a) −33/28 (b) 9/28 (c) 0 (d) −9/28
  36. 36.Write −9/12 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −9/12 (c) 3/4 (d) −4/3
  37. 37.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) −8/18 (d) 4/9
  38. 38.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) 1/4 (d) −1/4
  39. 39.Which is smaller: −1/7 or 1/6? (a) 1/6 (b) −1/7
  40. 40.Write −12/28 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −12/28 (d) −3/7

Answer key

  1. Negative
  2. −8/5
  3. −3/4
  4. −31/20
  5. 5/24
  6. −1/8
  7. −6/7
  8. 2/5
  9. −1/5
  10. 3/40
  11. −5/9
  12. −4/15
  13. −1/7
  14. 59/63
  15. −1/3
  16. 8
  17. 7/2
  18. 3/28
  19. −1/9
  20. −61/56
  21. −2/7
  22. 1/3
  23. 1/4
  24. 1/6
  25. −11/63
  26. 35/36
  27. 22/63
  28. −85/63
  29. −31/45
  30. 2/5
  31. −17/24
  32. −2/9
  33. −39/56
  34. Positive
  35. −9/28
  36. −3/4
  37. −4/9
  38. −1/4
  39. −1/7
  40. −3/7

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