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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 630 · 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 −28/36 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −9/7 (c) −7/9 (d) −28/36
  2. 2.What is (−1/6) + (−3/8)? (a) −2/7 (b) −13/24 (c) 13/24 (d) 5/24
  3. 3.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  4. 4.What is (−1/2) − (−7/9)? (a) −23/18 (b) 6/11 (c) −5/18 (d) 5/18
  5. 5.What is (−7/9) + 1/5? (a) 26/45 (b) −44/45 (c) −3/7 (d) −26/45
  6. 6.What is 3/4 − (−6/7)? (a) −3/28 (b) −45/28 (c) 45/28 (d) 9/11
  7. 7.What is (−1/4) + (−2/3)? (a) −3/7 (b) −11/12 (c) 11/12 (d) 5/12
  8. 8.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −6/10 (d) −3/5
  9. 9.What is 2/5 − (−1/5)? (a) 3/5 (b) −3/5 (c) 3/10 (d) 1/5
  10. 10.Which is smaller: −1/7 or −5/6? (a) −5/6 (b) −1/7
  11. 11.What is 3/5 + (−7/8)? (a) 11/40 (b) 59/40 (c) −4/13 (d) −11/40
  12. 12.Which is smaller: −1/3 or −2/3? (a) −1/3 (b) −2/3
  13. 13.Is −9/8 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 7/9? (a) −7/9 (b) −9/7 (c) 7/9 (d) 9/7
  15. 15.What is (−5/8) + 1/7? (a) −4/15 (b) −43/56 (c) 27/56 (d) −27/56
  16. 16.Which is smaller: −3/4 or 5/8? (a) −3/4 (b) 5/8
  17. 17.What is (−1/3) − (−5/9)? (a) 1/3 (b) −2/9 (c) −8/9 (d) 2/9
  18. 18.What is (−2/3) + (−4/9)? (a) −1/2 (b) 10/9 (c) −2/9 (d) −10/9
  19. 19.Write −12/20 in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −12/20 (d) −5/3
  20. 20.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −8/20 (b) 2/5 (c) −2/5 (d) −5/2
  21. 21.Which is smaller: −8/9 or 1/7? (a) −8/9 (b) 1/7
  22. 22.What is (−3/4) − 1/3? (a) −13/12 (b) −5/12 (c) 13/12 (d) −4/7
  23. 23.What is (−3/5) + 1/3? (a) 4/15 (b) −4/15 (c) −1/4 (d) −14/15
  24. 24.Is −9/4 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−1/7) + 3/7? (a) 2/7 (b) −4/7 (c) 1/7 (d) −2/7
  26. 26.Is −9/9 positive or negative? (a) Positive (b) Negative
  27. 27.Write −18/48 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −8/3 (d) −18/48
  28. 28.Which is smaller: −2/3 or −5/6? (a) −5/6 (b) −2/3
  29. 29.Is −9/(−4) positive or negative? (a) Negative (b) Positive
  30. 30.What is the reciprocal (multiplicative inverse) of −2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  31. 31.Write 2/(−14) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −2/14 (c) −1/7 (d) 1/7
  32. 32.Is 4/3 positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of −7/9? (a) 9/7 (b) −9/7 (c) 7/9 (d) −7/9
  34. 34.Write −3/24 in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −3/24
  35. 35.Write −6/15 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −6/15 (d) 2/5
  36. 36.What is (−1/4) − (−4/7)? (a) 3/11 (b) −23/28 (c) −9/28 (d) 9/28
  37. 37.What is 7/9 − (−2/9)? (a) 5/9 (b) 1/2 (c) −1 (d) 1
  38. 38.Which is smaller: −1/8 or 1/9? (a) −1/8 (b) 1/9
  39. 39.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) 4 (c) −4 (d) −1/4
  40. 40.Which is smaller: −5/7 or 1/7? (a) 1/7 (b) −5/7

Answer key

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

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