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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 359 · 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 −5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  2. 2.What is (−1/5) + (−2/5)? (a) −3/10 (b) −3/5 (c) 1/5 (d) 3/5
  3. 3.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) −2/1 (c) −1/2 (d) 1/2
  4. 4.Is 4/3 positive or negative? (a) Negative (b) Positive
  5. 5.Which is smaller: −3/8 or 2/7? (a) 2/7 (b) −3/8
  6. 6.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −20/36 (b) −9/5 (c) 5/9 (d) −5/9
  7. 7.Which is smaller: −2/5 or 5/9? (a) 5/9 (b) −2/5
  8. 8.What is (−6/7) − (−5/9)? (a) 19/63 (b) −1/16 (c) −89/63 (d) −19/63
  9. 9.Is 9/3 positive or negative? (a) Positive (b) Negative
  10. 10.What is (−1/9) − (−3/8)? (a) −35/72 (b) 2/17 (c) −19/72 (d) 19/72
  11. 11.Which is smaller: −6/7 or 5/6? (a) 5/6 (b) −6/7
  12. 12.What is (−5/8) − (−3/5)? (a) 1/40 (b) −2/13 (c) −49/40 (d) −1/40
  13. 13.What is (−3/8) + (−5/6)? (a) 11/24 (b) 29/24 (c) −4/7 (d) −29/24
  14. 14.What is 5/7 − (−1/3)? (a) 3/5 (b) 8/21 (c) −22/21 (d) 22/21
  15. 15.Which is bigger: −6/7 or 2/5? (a) −6/7 (b) 2/5
  16. 16.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −10/18 (c) −9/5 (d) −5/9
  17. 17.Is −4/6 positive or negative? (a) Negative (b) Positive
  18. 18.Which is smaller: −5/7 or 5/6? (a) −5/7 (b) 5/6
  19. 19.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  20. 20.Is −7/3 positive or negative? (a) Positive (b) Negative
  21. 21.What is 1/3 − (−5/6)? (a) 2/3 (b) 7/6 (c) −7/6 (d) −1/2
  22. 22.Write −5/15 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −5/15 (c) −1/3 (d) 1/3
  23. 23.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  24. 24.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −1/3 (d) −3
  25. 25.What is 7/8 + (−2/7)? (a) 65/56 (b) 33/56 (c) −33/56 (d) 1/3
  26. 26.What is the reciprocal (multiplicative inverse) of −1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  27. 27.Is −6/(−8) positive or negative? (a) Negative (b) Positive
  28. 28.What is (−4/5) − (−3/5)? (a) −7/5 (b) 1/5 (c) −1/10 (d) −1/5
  29. 29.Which is smaller: −8/9 or −1/7? (a) −8/9 (b) −1/7
  30. 30.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) 3/8 (d) −9/24
  31. 31.What is 2/3 − (−1/9)? (a) 1/4 (b) −7/9 (c) 7/9 (d) 5/9
  32. 32.What is (−2/5) − (−1/4)? (a) −1/9 (b) 3/20 (c) −13/20 (d) −3/20
  33. 33.What is (−1/8) − (−7/9)? (a) −47/72 (b) 47/72 (c) −65/72 (d) 6/17
  34. 34.Is 9/(−8) positive or negative? (a) Positive (b) Negative
  35. 35.What is 3/7 + (−3/4)? (a) 0 (b) 9/28 (c) 33/28 (d) −9/28
  36. 36.What is (−2/3) − 1/5? (a) 13/15 (b) −3/8 (c) −13/15 (d) −7/15
  37. 37.What is the additive inverse of −5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  38. 38.Is 4/(−7) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−7/8) − (−7/8)? (a) 0 (b) −7/4
  40. 40.Which is bigger: −1/2 or 1/7? (a) 1/7 (b) −1/2

Answer key

  1. −9/5
  2. −3/5
  3. −1/2
  4. Positive
  5. −3/8
  6. −5/9
  7. −2/5
  8. −19/63
  9. Positive
  10. 19/72
  11. −6/7
  12. −1/40
  13. −29/24
  14. 22/21
  15. 2/5
  16. −5/9
  17. Negative
  18. −5/7
  19. 6
  20. Negative
  21. 7/6
  22. −1/3
  23. 2
  24. −1/3
  25. 33/56
  26. −2
  27. Positive
  28. −1/5
  29. −8/9
  30. −3/8
  31. 7/9
  32. −3/20
  33. 47/72
  34. Negative
  35. −9/28
  36. −13/15
  37. 5/6
  38. Negative
  39. 0
  40. 1/7

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