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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 418 · 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 −12/32 in standard form (lowest terms, positive denominator). (a) −12/32 (b) 3/8 (c) −8/3 (d) −3/8
  2. 2.Which is smaller: −1/3 or −1/6? (a) −1/6 (b) −1/3
  3. 3.Is 8/(−6) positive or negative? (a) Negative (b) Positive
  4. 4.Is −5/(−9) positive or negative? (a) Positive (b) Negative
  5. 5.Write −8/18 in standard form (lowest terms, positive denominator). (a) −9/4 (b) −8/18 (c) −4/9 (d) 4/9
  6. 6.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  7. 7.What is the reciprocal (multiplicative inverse) of −6/7? (a) −7/6 (b) −6/7 (c) 7/6 (d) 6/7
  8. 8.Is −9/2 positive or negative? (a) Positive (b) Negative
  9. 9.What is (−3/4) + 4/9? (a) −43/36 (b) −11/36 (c) 11/36 (d) 1/13
  10. 10.What is 7/9 + (−4/7)? (a) −13/63 (b) 3/16 (c) 13/63 (d) 85/63
  11. 11.What is (−5/8) − 3/7? (a) −59/56 (b) 59/56 (c) −11/56 (d) −8/15
  12. 12.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  13. 13.Which is bigger: −6/7 or −1/9? (a) −1/9 (b) −6/7
  14. 14.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −42/48
  15. 15.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −30/35
  16. 16.What is (−7/9) − (−4/9)? (a) −1/6 (b) 1/3 (c) −11/9 (d) −1/3
  17. 17.What is (−1/7) − (−1/6)? (a) −1/42 (b) −13/42 (c) 0 (d) 1/42
  18. 18.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  19. 19.Write −12/28 in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −12/28
  20. 20.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−7/9) + 7/8? (a) −7/72 (b) −119/72 (c) 0 (d) 7/72
  22. 22.What is 2/9 − (−8/9)? (a) −2/3 (b) 5/9 (c) 10/9 (d) −10/9
  23. 23.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −24/27 (c) −9/8 (d) 8/9
  24. 24.What is 3/7 + (−6/7)? (a) 3/7 (b) 9/7 (c) −3/14 (d) −3/7
  25. 25.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) −5/7 (c) 7/5 (d) −7/5
  26. 26.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  27. 27.What is (−4/9) − 3/5? (a) 7/45 (b) 47/45 (c) −47/45 (d) −1/2
  28. 28.Which is bigger: −1/6 or 5/7? (a) 5/7 (b) −1/6
  29. 29.What is 3/5 − (−5/6)? (a) 8/11 (b) −43/30 (c) −7/30 (d) 43/30
  30. 30.Which is bigger: −7/9 or −3/4? (a) −3/4 (b) −7/9
  31. 31.Which is smaller: −4/9 or 1/5? (a) −4/9 (b) 1/5
  32. 32.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −18/48 (c) −8/3 (d) −3/8
  33. 33.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  34. 34.What is (−1/2) − 5/9? (a) −6/11 (b) 1/18 (c) 19/18 (d) −19/18
  35. 35.What is 5/8 − (−1/8)? (a) 3/4 (b) −3/4 (c) 1/2 (d) 3/8
  36. 36.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −10/25 (d) −2/5
  37. 37.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) −3/5 (d) 3/5
  38. 38.What is (−3/5) − 3/5? (a) 6/5 (b) −3/5 (c) 0 (d) −6/5
  39. 39.What is 5/8 − (−3/8)? (a) 1/2 (b) −1 (c) 1/4 (d) 1
  40. 40.What is (−1/2) − (−1/8)? (a) 0 (b) 3/8 (c) −3/8 (d) −5/8

Answer key

  1. −3/8
  2. −1/3
  3. Negative
  4. Positive
  5. −4/9
  6. 3/2
  7. −7/6
  8. Negative
  9. −11/36
  10. 13/63
  11. −59/56
  12. −9/5
  13. −1/9
  14. −7/8
  15. −6/7
  16. −1/3
  17. 1/42
  18. 8/7
  19. −3/7
  20. Negative
  21. 7/72
  22. 10/9
  23. −8/9
  24. −3/7
  25. 7/5
  26. Positive
  27. −47/45
  28. 5/7
  29. 43/30
  30. −3/4
  31. −4/9
  32. −3/8
  33. Negative
  34. −19/18
  35. 3/4
  36. −2/5
  37. −3/5
  38. −6/5
  39. 1
  40. −3/8

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