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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 107 · 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 3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  2. 2.What is (−1/2) + 1/5? (a) 0 (b) −3/10 (c) 3/10 (d) −7/10
  3. 3.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  4. 4.What is 1/3 + (−1/4)? (a) 7/12 (b) −1/12 (c) 0 (d) 1/12
  5. 5.What is (−1/5) − 1/4? (a) −2/9 (b) −9/20 (c) 9/20 (d) 1/20
  6. 6.What is the additive inverse of −3/8? (a) 8/3 (b) −8/3 (c) −3/8 (d) 3/8
  7. 7.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −3/6 (d) −1/2
  8. 8.What is (−3/8) + (−1/8)? (a) −1/4 (b) 1/2 (c) −1/2
  9. 9.Which is smaller: −3/7 or 3/4? (a) −3/7 (b) 3/4
  10. 10.Which is smaller: −2/9 or −2/3? (a) −2/9 (b) −2/3
  11. 11.What is 4/9 − (−2/3)? (a) −10/9 (b) 10/9 (c) −2/9 (d) 1/2
  12. 12.Write −12/28 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −12/28 (d) −3/7
  13. 13.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  14. 14.Which is smaller: −1/8 or −4/7? (a) −1/8 (b) −4/7
  15. 15.Is 9/4 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−3/5) + (−5/7)? (a) 4/35 (b) −46/35 (c) −2/3 (d) 46/35
  17. 17.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −2/9 (c) −6/27 (d) −9/2
  18. 18.What is (−3/8) + 7/8? (a) −1/2 (b) −5/4 (c) 1/4 (d) 1/2
  19. 19.Write −12/16 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −12/16
  20. 20.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) 8/5 (c) 5/8 (d) −8/5
  21. 21.What is 5/7 − (−6/7)? (a) 11/14 (b) −1/7 (c) 11/7 (d) −11/7
  22. 22.Which is bigger: −4/9 or 7/8? (a) 7/8 (b) −4/9
  23. 23.Is −2/6 positive or negative? (a) Positive (b) Negative
  24. 24.Is −4/7 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−6/7) + 1/5? (a) −37/35 (b) 23/35 (c) −5/12 (d) −23/35
  26. 26.Which is smaller: −1/5 or −4/9? (a) −1/5 (b) −4/9
  27. 27.Write −3/9 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) −3/9 (d) 1/3
  28. 28.Which is smaller: −1/3 or 3/4? (a) −1/3 (b) 3/4
  29. 29.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  30. 30.What is (−5/8) − 1/8? (a) −3/8 (b) −1/2 (c) 3/4 (d) −3/4
  31. 31.What is 8/9 + (−2/5)? (a) −22/45 (b) 3/7 (c) 58/45 (d) 22/45
  32. 32.Write 6/(−30) in standard form (lowest terms, positive denominator). (a) −6/30 (b) −1/5 (c) 1/5 (d) −5/1
  33. 33.What is the reciprocal (multiplicative inverse) of 7/8? (a) −7/8 (b) −8/7 (c) 8/7 (d) 7/8
  34. 34.Which is bigger: −3/5 or −7/8? (a) −3/5 (b) −7/8
  35. 35.Which is smaller: −1/7 or −7/8? (a) −1/7 (b) −7/8
  36. 36.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −12/42 (c) 2/7 (d) −7/2
  37. 37.Write −2/4 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −2/4 (d) 1/2
  38. 38.What is 2/3 − (−1/9)? (a) 1/4 (b) 5/9 (c) 7/9 (d) −7/9
  39. 39.What is the additive inverse of 1/5? (a) 5 (b) −1/5 (c) −5 (d) 1/5
  40. 40.What is (−2/3) − 2/5? (a) 16/15 (b) −16/15 (c) −1/2 (d) −4/15

Answer key

  1. 4/3
  2. −3/10
  3. Negative
  4. 1/12
  5. −9/20
  6. 3/8
  7. −1/2
  8. −1/2
  9. −3/7
  10. −2/3
  11. 10/9
  12. −3/7
  13. Positive
  14. −4/7
  15. Positive
  16. −46/35
  17. −2/9
  18. 1/2
  19. −3/4
  20. 8/5
  21. 11/7
  22. 7/8
  23. Negative
  24. Negative
  25. −23/35
  26. −4/9
  27. −1/3
  28. −1/3
  29. −7/5
  30. −3/4
  31. 22/45
  32. −1/5
  33. 8/7
  34. −3/5
  35. −7/8
  36. −2/7
  37. −1/2
  38. 7/9
  39. −1/5
  40. −16/15

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