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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 119 · 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 (−1/6) + (−3/7)? (a) 25/42 (b) −25/42 (c) 11/42 (d) −4/13
  2. 2.What is (−1/8) − (−1/7)? (a) 0 (b) 1/56 (c) −15/56 (d) −1/56
  3. 3.Which is smaller: −3/4 or −3/7? (a) −3/7 (b) −3/4
  4. 4.What is (−5/8) − 1/7? (a) −2/5 (b) 43/56 (c) −43/56 (d) −27/56
  5. 5.What is 3/5 + (−1/5)? (a) −2/5 (b) 4/5 (c) 1/5 (d) 2/5
  6. 6.Which is bigger: −4/7 or −5/8? (a) −4/7 (b) −5/8
  7. 7.Is 5/(−8) positive or negative? (a) Positive (b) Negative
  8. 8.Is −7/9 positive or negative? (a) Positive (b) Negative
  9. 9.Is 7/(−5) positive or negative? (a) Positive (b) Negative
  10. 10.What is 1/5 + (−7/8)? (a) −6/13 (b) −27/40 (c) 43/40 (d) 27/40
  11. 11.What is (−4/9) + (−5/8)? (a) 77/72 (b) 13/72 (c) −9/17 (d) −77/72
  12. 12.Which is bigger: −4/5 or 4/7? (a) −4/5 (b) 4/7
  13. 13.Which is bigger: −5/9 or −3/7? (a) −3/7 (b) −5/9
  14. 14.What is 4/7 + (−1/6)? (a) 31/42 (b) −17/42 (c) 17/42 (d) 3/13
  15. 15.Is −2/8 positive or negative? (a) Negative (b) Positive
  16. 16.What is the reciprocal (multiplicative inverse) of −1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  17. 17.Write −3/27 in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −3/27
  18. 18.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  19. 19.What is 4/7 + (−1/2)? (a) 15/14 (b) −1/14 (c) 1/14 (d) 1/3
  20. 20.Which is bigger: −1/2 or 1/3? (a) −1/2 (b) 1/3
  21. 21.What is (−2/9) + 4/9? (a) 2/9 (b) −2/3 (c) −2/9 (d) 1/9
  22. 22.What is (−1/5) + (−1/8)? (a) −2/13 (b) 13/40 (c) −3/40 (d) −13/40
  23. 23.What is (−5/7) − 1/2? (a) −3/14 (b) 17/14 (c) −2/3 (d) −17/14
  24. 24.What is (−3/7) + 3/5? (a) 0 (b) −6/35 (c) −36/35 (d) 6/35
  25. 25.What is 5/7 − (−1/5)? (a) 1/2 (b) −32/35 (c) 32/35 (d) 18/35
  26. 26.What is the additive inverse of 4/5? (a) −5/4 (b) 5/4 (c) 4/5 (d) −4/5
  27. 27.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −42/48 (c) 7/8 (d) −7/8
  28. 28.Which is bigger: −7/8 or 2/7? (a) −7/8 (b) 2/7
  29. 29.What is the reciprocal (multiplicative inverse) of −7/8? (a) 8/7 (b) −7/8 (c) 7/8 (d) −8/7
  30. 30.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) −4/7 (c) 4/7 (d) −7/4
  31. 31.Write −24/27 in standard form (lowest terms, positive denominator). (a) −24/27 (b) −9/8 (c) 8/9 (d) −8/9
  32. 32.Which is smaller: −2/9 or −1/2? (a) −1/2 (b) −2/9
  33. 33.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) 3/7 (c) −7/3 (d) −3/7
  34. 34.Which is bigger: −3/5 or −2/3? (a) −3/5 (b) −2/3
  35. 35.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −8/1 (d) −4/32
  36. 36.Is −5/(−6) positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of 7/8? (a) −7/8 (b) 8/7 (c) 7/8 (d) −8/7
  38. 38.Which is smaller: −1/2 or −4/7? (a) −4/7 (b) −1/2
  39. 39.What is 5/7 + (−2/9)? (a) −31/63 (b) 59/63 (c) 3/16 (d) 31/63
  40. 40.What is 4/5 − (−1/4)? (a) 11/20 (b) −21/20 (c) 21/20 (d) 5/9

Answer key

  1. −25/42
  2. 1/56
  3. −3/4
  4. −43/56
  5. 2/5
  6. −4/7
  7. Negative
  8. Negative
  9. Negative
  10. −27/40
  11. −77/72
  12. 4/7
  13. −3/7
  14. 17/42
  15. Negative
  16. −3
  17. −1/9
  18. 3/2
  19. 1/14
  20. 1/3
  21. 2/9
  22. −13/40
  23. −17/14
  24. 6/35
  25. 32/35
  26. −4/5
  27. −7/8
  28. 2/7
  29. −8/7
  30. −4/7
  31. −8/9
  32. −1/2
  33. 7/3
  34. −3/5
  35. −1/8
  36. Positive
  37. −7/8
  38. −4/7
  39. 31/63
  40. 21/20

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