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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 233 · 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 (−4/5) − (−1/7)? (a) −1/4 (b) 23/35 (c) −33/35 (d) −23/35
  2. 2.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −6/54 (d) 1/9
  3. 3.Is 2/8 positive or negative? (a) Negative (b) Positive
  4. 4.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  5. 5.Is −6/8 positive or negative? (a) Negative (b) Positive
  6. 6.What is the reciprocal (multiplicative inverse) of 4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  7. 7.Is 1/3 positive or negative? (a) Negative (b) Positive
  8. 8.What is the reciprocal (multiplicative inverse) of −4/9? (a) 9/4 (b) −9/4 (c) −4/9 (d) 4/9
  9. 9.What is (−5/6) − 2/7? (a) −47/42 (b) −7/13 (c) 47/42 (d) −23/42
  10. 10.Which is bigger: −2/9 or −1/8? (a) −2/9 (b) −1/8
  11. 11.What is 5/8 + (−3/5)? (a) 49/40 (b) 2/13 (c) 1/40 (d) −1/40
  12. 12.What is the additive inverse of 7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  13. 13.Which is smaller: −1/9 or 4/7? (a) −1/9 (b) 4/7
  14. 14.Write −12/14 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −12/14 (d) −7/6
  15. 15.Write 3/(−15) in standard form (lowest terms, positive denominator). (a) −3/15 (b) 1/5 (c) −5/1 (d) −1/5
  16. 16.What is (−3/7) + 2/9? (a) 13/63 (b) −13/63 (c) −41/63 (d) −1/16
  17. 17.What is (−1/9) + (−5/6)? (a) 13/18 (b) 17/18 (c) −2/5 (d) −17/18
  18. 18.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) −3/2 (c) 2/3 (d) 3/2
  19. 19.What is (−2/5) − (−1/8)? (a) −21/40 (b) −1/13 (c) 11/40 (d) −11/40
  20. 20.What is (−5/8) − 1/4? (a) −1/2 (b) −3/8 (c) 7/8 (d) −7/8
  21. 21.Which is smaller: −1/9 or 1/3? (a) −1/9 (b) 1/3
  22. 22.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −2/14 (c) −7/1 (d) −1/7
  23. 23.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −6/8 (d) −4/3
  24. 24.What is (−3/8) − (−4/5)? (a) 1/13 (b) −47/40 (c) −17/40 (d) 17/40
  25. 25.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −8/5 (c) 8/5 (d) −5/8
  26. 26.What is (−4/9) − (−6/7)? (a) 26/63 (b) −26/63 (c) −82/63 (d) 1/8
  27. 27.What is (−1/4) − 1/8? (a) 3/8 (b) −1/8 (c) −3/8 (d) −1/6
  28. 28.What is 5/9 + (−7/9)? (a) −1/9 (b) −2/9 (c) 2/9 (d) 4/3
  29. 29.Which is smaller: −3/4 or −3/5? (a) −3/4 (b) −3/5
  30. 30.What is (−1/6) − (−4/9)? (a) 1/5 (b) 5/18 (c) −5/18 (d) −11/18
  31. 31.Which is bigger: −3/7 or −4/9? (a) −3/7 (b) −4/9
  32. 32.Is −7/2 positive or negative? (a) Positive (b) Negative
  33. 33.What is (−5/7) + (−8/9)? (a) −13/16 (b) −101/63 (c) 101/63 (d) 11/63
  34. 34.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) 4/9 (c) −4/9 (d) 9/4
  35. 35.What is 3/8 + (−4/9)? (a) −5/72 (b) 5/72 (c) 59/72 (d) −1/17
  36. 36.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  37. 37.What is 3/5 + (−3/4)? (a) −3/20 (b) 0 (c) 27/20 (d) 3/20
  38. 38.Write −20/36 in standard form (lowest terms, positive denominator). (a) −9/5 (b) 5/9 (c) −5/9 (d) −20/36
  39. 39.Which is smaller: −5/8 or −1/7? (a) −1/7 (b) −5/8
  40. 40.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −3/27 (c) −1/9 (d) −9/1

Answer key

  1. −23/35
  2. −1/9
  3. Positive
  4. 9/2
  5. Negative
  6. 5/4
  7. Positive
  8. −9/4
  9. −47/42
  10. −1/8
  11. 1/40
  12. −7/8
  13. −1/9
  14. −6/7
  15. −1/5
  16. −13/63
  17. −17/18
  18. 3/2
  19. −11/40
  20. −7/8
  21. −1/9
  22. −1/7
  23. −3/4
  24. 17/40
  25. 8/5
  26. 26/63
  27. −3/8
  28. −2/9
  29. −3/4
  30. 5/18
  31. −3/7
  32. Negative
  33. −101/63
  34. 9/4
  35. −5/72
  36. −2/5
  37. −3/20
  38. −5/9
  39. −5/8
  40. −1/9

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