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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 72 · 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 (−2/9) + (−1/4)? (a) −3/13 (b) 17/36 (c) 1/36 (d) −17/36
  2. 2.What is (−5/8) − (−2/3)? (a) −3/11 (b) −31/24 (c) −1/24 (d) 1/24
  3. 3.Which is bigger: −1/9 or −1/2? (a) −1/9 (b) −1/2
  4. 4.Write −32/36 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −32/36 (c) −8/9 (d) −9/8
  5. 5.What is 1/5 + (−5/6)? (a) 31/30 (b) −4/11 (c) 19/30 (d) −19/30
  6. 6.Which is bigger: −2/7 or −1/2? (a) −2/7 (b) −1/2
  7. 7.Is −4/9 positive or negative? (a) Positive (b) Negative
  8. 8.What is the additive inverse of −3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  9. 9.What is 1/3 + (−3/5)? (a) 4/15 (b) −1/4 (c) 14/15 (d) −4/15
  10. 10.What is (−1/7) + 5/7? (a) −6/7 (b) −4/7 (c) 2/7 (d) 4/7
  11. 11.Which is bigger: −5/6 or −3/8? (a) −5/6 (b) −3/8
  12. 12.What is 3/5 + (−3/5)? (a) 0 (b) 6/5
  13. 13.What is (−3/5) − 1/6? (a) −13/30 (b) 23/30 (c) −4/11 (d) −23/30
  14. 14.What is (−8/9) + (−1/3)? (a) −11/9 (b) −5/9 (c) −3/4 (d) 11/9
  15. 15.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  16. 16.What is (−5/6) + 2/9? (a) 11/18 (b) −19/18 (c) −11/18 (d) −1/5
  17. 17.Is 1/8 positive or negative? (a) Negative (b) Positive
  18. 18.Write −24/54 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −4/9 (d) −24/54
  19. 19.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −12/21 (b) −4/7 (c) −7/4 (d) 4/7
  20. 20.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −3/15 (c) −1/5 (d) 1/5
  21. 21.Which is smaller: −1/4 or −2/9? (a) −2/9 (b) −1/4
  22. 22.Write −3/6 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −3/6 (c) −2/1 (d) −1/2
  23. 23.What is the reciprocal (multiplicative inverse) of 2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  24. 24.Which is smaller: −1/4 or −3/8? (a) −1/4 (b) −3/8
  25. 25.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  26. 26.Which is smaller: −3/4 or 1/6? (a) 1/6 (b) −3/4
  27. 27.What is 1/2 − (−2/3)? (a) −1/6 (b) 7/6 (c) −7/6 (d) 3/5
  28. 28.What is 6/7 + (−7/9)? (a) −5/63 (b) 5/63 (c) 103/63 (d) −1/16
  29. 29.What is 2/3 + (−1/7)? (a) 1/10 (b) 11/21 (c) −11/21 (d) 17/21
  30. 30.What is 3/4 + (−2/5)? (a) 1/9 (b) 7/20 (c) 23/20 (d) −7/20
  31. 31.Is 5/(−5) positive or negative? (a) Negative (b) Positive
  32. 32.What is (−4/5) − 1/4? (a) −5/9 (b) 21/20 (c) −21/20 (d) −11/20
  33. 33.Is 1/(−5) positive or negative? (a) Negative (b) Positive
  34. 34.What is the reciprocal (multiplicative inverse) of 1/2? (a) 2 (b) 1/2 (c) −2 (d) −1/2
  35. 35.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) 1/9 (c) 9 (d) −9
  36. 36.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −30/48 (b) −8/5 (c) −5/8 (d) 5/8
  37. 37.What is (−2/3) + 5/7? (a) 1/21 (b) −29/21 (c) −1/21 (d) 3/10
  38. 38.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) −5/35 (d) 1/7
  39. 39.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −3/21 (b) −1/7 (c) −7/1 (d) 1/7
  40. 40.What is 2/5 − (−7/8)? (a) 9/13 (b) −19/40 (c) 51/40 (d) −51/40

Answer key

  1. −17/36
  2. 1/24
  3. −1/9
  4. −8/9
  5. −19/30
  6. −2/7
  7. Negative
  8. 3/4
  9. −4/15
  10. 4/7
  11. −3/8
  12. 0
  13. −23/30
  14. −11/9
  15. 3
  16. −11/18
  17. Positive
  18. −4/9
  19. −4/7
  20. −1/5
  21. −1/4
  22. −1/2
  23. 7/2
  24. −3/8
  25. 9/5
  26. −3/4
  27. 7/6
  28. 5/63
  29. 11/21
  30. 7/20
  31. Negative
  32. −21/20
  33. Negative
  34. 2
  35. −9
  36. −5/8
  37. 1/21
  38. −1/7
  39. −1/7
  40. 51/40

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