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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 604 · 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 (−1/5) − 3/5? (a) −4/5 (b) 4/5 (c) −2/5 (d) 2/5
  2. 2.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −12/27 (c) −4/9 (d) −9/4
  3. 3.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) −4/24 (c) 1/6 (d) −1/6
  4. 4.What is (−1/2) − (−3/8)? (a) −1/8 (b) 1/8 (c) −7/8 (d) 1/5
  5. 5.What is (−5/6) + 3/7? (a) 17/42 (b) −17/42 (c) −2/13 (d) −53/42
  6. 6.What is (−4/9) − 1/6? (a) 11/18 (b) −5/18 (c) −1/3 (d) −11/18
  7. 7.What is (−1/6) + (−1/4)? (a) −5/12 (b) −1/5 (c) 1/12 (d) 5/12
  8. 8.What is (−1/8) + 5/9? (a) 31/72 (b) −49/72 (c) 4/17 (d) −31/72
  9. 9.What is (−3/5) − 3/8? (a) 39/40 (b) −39/40 (c) −9/40 (d) −6/13
  10. 10.What is (−7/8) − 4/5? (a) −3/40 (b) −11/13 (c) −67/40 (d) 67/40
  11. 11.Write −6/9 in standard form (lowest terms, positive denominator). (a) −6/9 (b) −2/3 (c) 2/3 (d) −3/2
  12. 12.Is 3/2 positive or negative? (a) Negative (b) Positive
  13. 13.What is 1/3 + (−2/9)? (a) −1/12 (b) −1/9 (c) 1/9 (d) 5/9
  14. 14.What is 1/7 − (−3/5)? (a) −16/35 (b) 1/3 (c) 26/35 (d) −26/35
  15. 15.Is −6/(−7) positive or negative? (a) Positive (b) Negative
  16. 16.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) 7/5 (c) −7/5 (d) −5/7
  17. 17.What is (−4/9) + (−7/9)? (a) 11/9 (b) −11/9 (c) −11/18 (d) 1/3
  18. 18.Which is smaller: −1/6 or −1/7? (a) −1/6 (b) −1/7
  19. 19.Write −21/24 in standard form (lowest terms, positive denominator). (a) −21/24 (b) 7/8 (c) −8/7 (d) −7/8
  20. 20.What is (−5/6) − (−1/7)? (a) −41/42 (b) 29/42 (c) −4/13 (d) −29/42
  21. 21.What is (−7/9) + (−2/5)? (a) −53/45 (b) −9/14 (c) 53/45 (d) −17/45
  22. 22.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  23. 23.Which is smaller: −5/6 or −3/8? (a) −5/6 (b) −3/8
  24. 24.What is the reciprocal (multiplicative inverse) of −8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  25. 25.Which is bigger: −4/9 or −1/9? (a) −1/9 (b) −4/9
  26. 26.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7
  27. 27.Which is bigger: −7/8 or −4/5? (a) −4/5 (b) −7/8
  28. 28.Which is smaller: −3/4 or 7/8? (a) 7/8 (b) −3/4
  29. 29.What is 1/5 − (−1/8)? (a) −13/40 (b) 2/13 (c) 13/40 (d) 3/40
  30. 30.Which is bigger: −1/4 or 5/7? (a) −1/4 (b) 5/7
  31. 31.What is the additive inverse of 4/5? (a) 5/4 (b) −5/4 (c) −4/5 (d) 4/5
  32. 32.What is (−5/8) + 1/9? (a) −4/17 (b) 37/72 (c) −37/72 (d) −53/72
  33. 33.Which is bigger: −1/4 or −3/4? (a) −3/4 (b) −1/4
  34. 34.Write −25/45 in standard form (lowest terms, positive denominator). (a) −9/5 (b) −25/45 (c) −5/9 (d) 5/9
  35. 35.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  36. 36.What is 4/7 − (−5/8)? (a) −67/56 (b) −3/56 (c) 67/56 (d) 3/5
  37. 37.Is −3/7 positive or negative? (a) Negative (b) Positive
  38. 38.Write −36/42 in standard form (lowest terms, positive denominator). (a) −6/7 (b) −36/42 (c) −7/6 (d) 6/7
  39. 39.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  40. 40.Write −2/10 in standard form (lowest terms, positive denominator). (a) −2/10 (b) 1/5 (c) −5/1 (d) −1/5

Answer key

  1. −4/5
  2. −4/9
  3. −1/6
  4. −1/8
  5. −17/42
  6. −11/18
  7. −5/12
  8. 31/72
  9. −39/40
  10. −67/40
  11. −2/3
  12. Positive
  13. 1/9
  14. 26/35
  15. Positive
  16. −7/5
  17. −11/9
  18. −1/6
  19. −7/8
  20. −29/42
  21. −53/45
  22. 6
  23. −5/6
  24. −9/8
  25. −1/9
  26. 7/6
  27. −4/5
  28. −3/4
  29. 13/40
  30. 5/7
  31. −4/5
  32. −37/72
  33. −1/4
  34. −5/9
  35. Negative
  36. 67/56
  37. Negative
  38. −6/7
  39. Positive
  40. −1/5

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