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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 926 · 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 the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 5/6 (c) 6/5 (d) −6/5
  2. 2.Which is bigger: −2/9 or −7/8? (a) −7/8 (b) −2/9
  3. 3.Write −20/24 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −20/24 (d) −5/6
  4. 4.What is (−1/4) + (−1/7)? (a) −11/28 (b) −3/28 (c) −2/11 (d) 11/28
  5. 5.What is (−7/8) − 1/4? (a) −5/8 (b) 9/8 (c) −2/3 (d) −9/8
  6. 6.What is (−3/4) − (−3/4)? (a) −3/2 (b) 0
  7. 7.Which is bigger: −1/7 or 2/9? (a) 2/9 (b) −1/7
  8. 8.What is (−1/5) + (−2/5)? (a) 1/5 (b) −3/10 (c) 3/5 (d) −3/5
  9. 9.What is (−1/2) + 2/7? (a) −3/14 (b) 1/9 (c) −11/14 (d) 3/14
  10. 10.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  11. 11.What is 2/9 − (−4/9)? (a) −2/9 (b) 1/3 (c) 2/3 (d) −2/3
  12. 12.What is 1/2 + (−5/6)? (a) −1/2 (b) 1/3 (c) −1/3 (d) 4/3
  13. 13.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) −7/5 (c) −5/7 (d) 5/7
  14. 14.Which is bigger: −3/8 or 8/9? (a) −3/8 (b) 8/9
  15. 15.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −15/21 (d) −5/7
  16. 16.What is (−2/3) − (−3/5)? (a) 1/8 (b) 1/15 (c) −19/15 (d) −1/15
  17. 17.What is (−1/4) + (−4/7)? (a) 9/28 (b) −5/11 (c) 23/28 (d) −23/28
  18. 18.Is 4/6 positive or negative? (a) Negative (b) Positive
  19. 19.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) −16/28 (d) 4/7
  20. 20.Which is bigger: −5/6 or −2/5? (a) −5/6 (b) −2/5
  21. 21.What is the reciprocal (multiplicative inverse) of 3/4? (a) 4/3 (b) 3/4 (c) −4/3 (d) −3/4
  22. 22.What is (−5/7) − (−2/5)? (a) −39/35 (b) −1/4 (c) 11/35 (d) −11/35
  23. 23.Which is bigger: −2/7 or −7/8? (a) −7/8 (b) −2/7
  24. 24.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −3/12 (c) −4/1 (d) 1/4
  25. 25.What is (−1/8) + 2/7? (a) 1/15 (b) −9/56 (c) 9/56 (d) −23/56
  26. 26.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) −4/7 (c) 7/4 (d) −7/4
  27. 27.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−1/9) + 5/6? (a) −13/18 (b) 4/15 (c) −17/18 (d) 13/18
  29. 29.What is the additive inverse of 5/7? (a) −5/7 (b) −7/5 (c) 5/7 (d) 7/5
  30. 30.Which is bigger: −1/3 or −3/5? (a) −1/3 (b) −3/5
  31. 31.Is −7/4 positive or negative? (a) Positive (b) Negative
  32. 32.Is −5/8 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/8) − 1/5? (a) −2/13 (b) 13/40 (c) 3/40 (d) −13/40
  34. 34.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −9/24 (c) −8/3 (d) −3/8
  35. 35.Write 15/(−20) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −15/20 (c) −4/3 (d) 3/4
  36. 36.What is (−1/2) + (−4/7)? (a) −15/14 (b) 1/14 (c) 15/14 (d) −5/9
  37. 37.Which is bigger: −1/2 or −4/9? (a) −4/9 (b) −1/2
  38. 38.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −12/21 (c) −4/7 (d) 4/7
  39. 39.What is 3/5 − (−1/3)? (a) −14/15 (b) 4/15 (c) 1/2 (d) 14/15
  40. 40.What is (−2/7) + (−1/2)? (a) −11/14 (b) −1/3 (c) 11/14 (d) 3/14

Answer key

  1. 6/5
  2. −2/9
  3. −5/6
  4. −11/28
  5. −9/8
  6. 0
  7. 2/9
  8. −3/5
  9. −3/14
  10. 3
  11. 2/3
  12. −1/3
  13. −7/5
  14. 8/9
  15. −5/7
  16. −1/15
  17. −23/28
  18. Positive
  19. −4/7
  20. −2/5
  21. 4/3
  22. −11/35
  23. −2/7
  24. −1/4
  25. 9/56
  26. −7/4
  27. Positive
  28. 13/18
  29. −5/7
  30. −1/3
  31. Negative
  32. Negative
  33. −13/40
  34. −3/8
  35. −3/4
  36. −15/14
  37. −4/9
  38. −4/7
  39. 14/15
  40. −11/14

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