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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 280 · 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 (−5/8) − (−3/8)? (a) 1/4 (b) −1/4 (c) −1 (d) −1/8
  2. 2.What is (−4/5) + (−1/5)? (a) −3/5 (b) 1 (c) −1 (d) −1/2
  3. 3.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −8/20
  4. 4.What is the additive inverse of 3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  5. 5.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −21/27 (c) −9/7 (d) −7/9
  6. 6.Write −6/24 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −6/24 (c) 1/4 (d) −1/4
  7. 7.Which is smaller: −2/9 or 6/7? (a) 6/7 (b) −2/9
  8. 8.Write −4/6 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −4/6 (d) 2/3
  9. 9.What is (−5/8) − 1/3? (a) −23/24 (b) 23/24 (c) −6/11 (d) −7/24
  10. 10.Which is bigger: −7/8 or −6/7? (a) −7/8 (b) −6/7
  11. 11.Is −7/2 positive or negative? (a) Positive (b) Negative
  12. 12.What is (−3/8) − (−1/9)? (a) −19/72 (b) 19/72 (c) −35/72 (d) −2/17
  13. 13.Is 2/8 positive or negative? (a) Negative (b) Positive
  14. 14.What is (−6/7) − 5/6? (a) −11/13 (b) −1/42 (c) −71/42 (d) 71/42
  15. 15.Write −8/10 in standard form (lowest terms, positive denominator). (a) 4/5 (b) −4/5 (c) −5/4 (d) −8/10
  16. 16.What is (−3/8) − 3/5? (a) 39/40 (b) 9/40 (c) −6/13 (d) −39/40
  17. 17.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −30/42 (d) −5/7
  18. 18.Write 18/(−42) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −3/7 (c) −7/3 (d) −18/42
  19. 19.What is the reciprocal (multiplicative inverse) of −1/9? (a) 9 (b) −1/9 (c) −9 (d) 1/9
  20. 20.What is (−1/9) + (−2/3)? (a) 7/9 (b) 5/9 (c) −7/9 (d) −1/4
  21. 21.What is 2/7 + (−3/8)? (a) −1/15 (b) 5/56 (c) 37/56 (d) −5/56
  22. 22.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −6/10 (c) −5/3 (d) −3/5
  23. 23.What is (−5/6) + 1/9? (a) −13/18 (b) −17/18 (c) 13/18 (d) −4/15
  24. 24.What is (−5/6) + (−2/3)? (a) −3/2 (b) 3/2 (c) −7/9 (d) −1/6
  25. 25.What is (−6/7) + 1/8? (a) −55/56 (b) −1/3 (c) 41/56 (d) −41/56
  26. 26.What is 7/9 − (−4/7)? (a) −85/63 (b) 11/16 (c) 13/63 (d) 85/63
  27. 27.Which is smaller: −3/5 or −1/7? (a) −1/7 (b) −3/5
  28. 28.What is (−1/2) + 3/5? (a) 2/7 (b) 1/10 (c) −11/10 (d) −1/10
  29. 29.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  30. 30.What is (−5/6) − (−1/7)? (a) 29/42 (b) −4/13 (c) −29/42 (d) −41/42
  31. 31.What is 5/9 + (−3/8)? (a) 67/72 (b) −13/72 (c) 13/72 (d) 2/17
  32. 32.Which is bigger: −5/9 or 1/6? (a) −5/9 (b) 1/6
  33. 33.What is (−4/5) + 1/5? (a) −3/10 (b) 3/5 (c) −1 (d) −3/5
  34. 34.What is (−1/6) − 7/9? (a) 17/18 (b) −8/15 (c) 11/18 (d) −17/18
  35. 35.What is the additive inverse of −4/5? (a) 5/4 (b) 4/5 (c) −4/5 (d) −5/4
  36. 36.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) −7/3 (c) −3/7 (d) 3/7
  37. 37.What is 1/3 + (−2/5)? (a) −1/8 (b) 11/15 (c) 1/15 (d) −1/15
  38. 38.What is (−3/8) + 3/5? (a) 0 (b) −39/40 (c) −9/40 (d) 9/40
  39. 39.Which is bigger: −3/4 or −1/6? (a) −3/4 (b) −1/6
  40. 40.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −2/8

Answer key

  1. −1/4
  2. −1
  3. −2/5
  4. −3/7
  5. −7/9
  6. −1/4
  7. −2/9
  8. −2/3
  9. −23/24
  10. −6/7
  11. Negative
  12. −19/72
  13. Positive
  14. −71/42
  15. −4/5
  16. −39/40
  17. −5/7
  18. −3/7
  19. −9
  20. −7/9
  21. −5/56
  22. −3/5
  23. −13/18
  24. −3/2
  25. −41/56
  26. 85/63
  27. −3/5
  28. 1/10
  29. −7/3
  30. −29/42
  31. 13/72
  32. 1/6
  33. −3/5
  34. −17/18
  35. 4/5
  36. −3/7
  37. −1/15
  38. 9/40
  39. −1/6
  40. −1/4

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