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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 948 · 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.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −4/16 (d) 1/4
  2. 2.Which is bigger: −1/7 or −1/8? (a) −1/7 (b) −1/8
  3. 3.Write 6/(−36) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −6/36 (d) −1/6
  4. 4.What is 1/5 + (−4/5)? (a) 3/5 (b) −3/5 (c) 1 (d) −3/10
  5. 5.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  6. 6.What is (−1/3) + (−5/8)? (a) −23/24 (b) 23/24 (c) −6/11 (d) 7/24
  7. 7.Is −2/7 positive or negative? (a) Positive (b) Negative
  8. 8.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −3/18 (c) −1/6 (d) −6/1
  9. 9.Which is bigger: −3/4 or 3/8? (a) 3/8 (b) −3/4
  10. 10.What is 1/3 + (−2/5)? (a) 11/15 (b) −1/15 (c) 1/15 (d) −1/8
  11. 11.What is 5/9 + (−2/3)? (a) 1/9 (b) 11/9 (c) 1/4 (d) −1/9
  12. 12.Which is smaller: −8/9 or −3/7? (a) −3/7 (b) −8/9
  13. 13.Write 18/(−30) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −3/5 (d) −18/30
  14. 14.Which is bigger: −7/8 or −1/9? (a) −1/9 (b) −7/8
  15. 15.What is the reciprocal (multiplicative inverse) of −2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  16. 16.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −20/32 (c) −8/5 (d) −5/8
  17. 17.What is (−3/5) − 1/8? (a) −4/13 (b) 29/40 (c) −29/40 (d) −19/40
  18. 18.Is 2/7 positive or negative? (a) Negative (b) Positive
  19. 19.What is (−1/6) + 3/8? (a) −5/24 (b) −13/24 (c) 5/24 (d) 1/7
  20. 20.Which is smaller: −1/3 or 1/7? (a) 1/7 (b) −1/3
  21. 21.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−5/7) − (−2/3)? (a) −3/10 (b) −1/21 (c) −29/21 (d) 1/21
  23. 23.What is 3/8 − (−6/7)? (a) −27/56 (b) 3/5 (c) 69/56 (d) −69/56
  24. 24.What is (−2/7) + 5/6? (a) −23/42 (b) 23/42 (c) −47/42 (d) 3/13
  25. 25.Is 2/5 positive or negative? (a) Positive (b) Negative
  26. 26.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 5/2 (c) 2/5 (d) −5/2
  27. 27.What is (−1/3) + 3/4? (a) −5/12 (b) 5/12 (c) −13/12 (d) 2/7
  28. 28.Is 7/9 positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of 2/5? (a) −5/2 (b) 2/5 (c) 5/2 (d) −2/5
  30. 30.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) −2 (c) 2 (d) 1/2
  31. 31.Which is smaller: −2/3 or 2/9? (a) −2/3 (b) 2/9
  32. 32.What is (−2/9) + 3/8? (a) −43/72 (b) 11/72 (c) 1/17 (d) −11/72
  33. 33.What is 2/5 − (−1/9)? (a) 23/45 (b) 3/14 (c) −23/45 (d) 13/45
  34. 34.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  35. 35.Is −8/5 positive or negative? (a) Negative (b) Positive
  36. 36.What is 1/9 + (−1/8)? (a) −1/72 (b) 1/72 (c) 0 (d) 17/72
  37. 37.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  38. 38.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  39. 39.What is (−3/5) − (−1/9)? (a) −1/7 (b) 22/45 (c) −32/45 (d) −22/45
  40. 40.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4

Answer key

  1. −1/4
  2. −1/8
  3. −1/6
  4. −3/5
  5. 9/5
  6. −23/24
  7. Negative
  8. −1/6
  9. 3/8
  10. −1/15
  11. −1/9
  12. −8/9
  13. −3/5
  14. −1/9
  15. −5/2
  16. −5/8
  17. −29/40
  18. Positive
  19. 5/24
  20. −1/3
  21. Negative
  22. −1/21
  23. 69/56
  24. 23/42
  25. Positive
  26. 5/2
  27. 5/12
  28. Positive
  29. −2/5
  30. 2
  31. −2/3
  32. 11/72
  33. 23/45
  34. −9/2
  35. Negative
  36. −1/72
  37. Positive
  38. 5/3
  39. −22/45
  40. 5/4

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