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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 661 · 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 (−5/9) + 2/9? (a) −1/6 (b) −1/3 (c) −7/9 (d) 1/3
  2. 2.What is (−7/9) − 8/9? (a) 1/9 (b) 5/3 (c) −5/6 (d) −5/3
  3. 3.What is (−1/9) + (−1/2)? (a) −11/18 (b) 11/18 (c) −2/11 (d) 7/18
  4. 4.What is (−1/7) − 8/9? (a) 65/63 (b) −65/63 (c) 47/63 (d) −9/16
  5. 5.Is −3/(−8) positive or negative? (a) Positive (b) Negative
  6. 6.Write −12/30 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −12/30 (c) −2/5 (d) 2/5
  7. 7.What is 7/9 + (−3/4)? (a) 55/36 (b) 4/13 (c) −1/36 (d) 1/36
  8. 8.What is the reciprocal (multiplicative inverse) of −1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  9. 9.Which is bigger: −1/8 or 1/2? (a) −1/8 (b) 1/2
  10. 10.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −4/8
  11. 11.Which is bigger: −4/7 or 3/5? (a) −4/7 (b) 3/5
  12. 12.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  13. 13.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
  14. 14.What is (−4/9) − 1/5? (a) −29/45 (b) −11/45 (c) −5/14 (d) 29/45
  15. 15.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  16. 16.Write −20/45 in standard form (lowest terms, positive denominator). (a) −20/45 (b) 4/9 (c) −9/4 (d) −4/9
  17. 17.What is (−6/7) − 4/9? (a) −82/63 (b) −5/8 (c) 82/63 (d) −26/63
  18. 18.Which is smaller: −6/7 or −1/3? (a) −6/7 (b) −1/3
  19. 19.What is (−3/5) − 1/9? (a) −2/7 (b) 32/45 (c) −32/45 (d) −22/45
  20. 20.Is 5/3 positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) 7/4 (c) 4/7 (d) −7/4
  22. 22.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) 3/5 (d) −6/10
  23. 23.What is (−2/9) − 4/5? (a) −3/7 (b) 46/45 (c) −46/45 (d) 26/45
  24. 24.Is −7/9 positive or negative? (a) Negative (b) Positive
  25. 25.Is −3/6 positive or negative? (a) Positive (b) Negative
  26. 26.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −5/8 (c) 5/8 (d) −10/16
  27. 27.What is the additive inverse of −5/7? (a) −5/7 (b) −7/5 (c) 5/7 (d) 7/5
  28. 28.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −10/15 (d) 2/3
  29. 29.What is 7/8 + (−1/7)? (a) 57/56 (b) 2/5 (c) −41/56 (d) 41/56
  30. 30.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −12/32 (d) −8/3
  31. 31.Which is smaller: −1/6 or −3/5? (a) −1/6 (b) −3/5
  32. 32.Which is bigger: −1/4 or 5/8? (a) 5/8 (b) −1/4
  33. 33.What is (−3/5) + 3/4? (a) 3/20 (b) 0 (c) −3/20 (d) −27/20
  34. 34.Is 5/(−4) positive or negative? (a) Negative (b) Positive
  35. 35.What is 1/6 + (−2/7)? (a) 19/42 (b) −5/42 (c) 5/42 (d) −1/13
  36. 36.What is (−3/5) − 1/4? (a) −17/20 (b) −7/20 (c) −4/9 (d) 17/20
  37. 37.What is the additive inverse of −6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  38. 38.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  39. 39.Which is smaller: −4/9 or 4/7? (a) 4/7 (b) −4/9
  40. 40.Which is bigger: −6/7 or −1/2? (a) −1/2 (b) −6/7

Answer key

  1. −1/3
  2. −5/3
  3. −11/18
  4. −65/63
  5. Positive
  6. −2/5
  7. 1/36
  8. −6
  9. 1/2
  10. −1/2
  11. 3/5
  12. −3
  13. −5/4
  14. −29/45
  15. 9/4
  16. −4/9
  17. −82/63
  18. −6/7
  19. −32/45
  20. Positive
  21. −7/4
  22. −3/5
  23. −46/45
  24. Negative
  25. Negative
  26. −5/8
  27. 5/7
  28. −2/3
  29. 41/56
  30. −3/8
  31. −3/5
  32. 5/8
  33. 3/20
  34. Negative
  35. −5/42
  36. −17/20
  37. 6/7
  38. Negative
  39. −4/9
  40. −1/2

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