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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 929 · 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 1/6 + (−5/7)? (a) 37/42 (b) 23/42 (c) −23/42 (d) −4/13
  2. 2.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −9/21 (c) 3/7 (d) −7/3
  3. 3.What is 1/5 + (−2/5)? (a) 1/5 (b) 3/5 (c) −1/10 (d) −1/5
  4. 4.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  5. 5.Which is bigger: −1/5 or −5/7? (a) −5/7 (b) −1/5
  6. 6.What is (−3/5) − (−7/9)? (a) −8/45 (b) 2/7 (c) −62/45 (d) 8/45
  7. 7.What is (−4/7) + (−1/4)? (a) −5/11 (b) 23/28 (c) −9/28 (d) −23/28
  8. 8.What is (−5/7) − 3/4? (a) 1/28 (b) −8/11 (c) 41/28 (d) −41/28
  9. 9.What is (−1/5) + 1/9? (a) 4/45 (b) −14/45 (c) −4/45 (d) 0
  10. 10.Is 3/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.What is the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  12. 12.Which is smaller: −1/4 or −1/5? (a) −1/4 (b) −1/5
  13. 13.What is (−1/7) + 3/7? (a) −2/7 (b) 1/7 (c) 2/7 (d) −4/7
  14. 14.Write 12/(−54) in standard form (lowest terms, positive denominator). (a) −12/54 (b) −2/9 (c) −9/2 (d) 2/9
  15. 15.What is the reciprocal (multiplicative inverse) of −4/7? (a) −4/7 (b) −7/4 (c) 4/7 (d) 7/4
  16. 16.What is 5/6 + (−3/4)? (a) 19/12 (b) 1/5 (c) 1/12 (d) −1/12
  17. 17.What is (−5/7) + 1/2? (a) −4/9 (b) −17/14 (c) 3/14 (d) −3/14
  18. 18.Which is smaller: −3/7 or −1/5? (a) −1/5 (b) −3/7
  19. 19.Which is bigger: −1/4 or 2/3? (a) 2/3 (b) −1/4
  20. 20.Which is smaller: −1/5 or −4/9? (a) −4/9 (b) −1/5
  21. 21.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−1/7) + (−5/6)? (a) −6/13 (b) −41/42 (c) 29/42 (d) 41/42
  23. 23.Write −15/25 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −15/25 (c) −5/3 (d) 3/5
  24. 24.What is 7/9 + (−1/4)? (a) 19/36 (b) 37/36 (c) −19/36 (d) 6/13
  25. 25.Write −6/8 in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −6/8 (d) −3/4
  26. 26.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) −6 (c) 1/6 (d) 6
  27. 27.Which is bigger: −3/8 or −4/7? (a) −3/8 (b) −4/7
  28. 28.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) −7/3 (c) 7/3 (d) 3/7
  29. 29.What is (−1/9) + (−1/8)? (a) −2/17 (b) −17/72 (c) 17/72 (d) 1/72
  30. 30.Write −12/21 in standard form (lowest terms, positive denominator). (a) −12/21 (b) −7/4 (c) −4/7 (d) 4/7
  31. 31.What is the additive inverse of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  32. 32.Which is smaller: −4/7 or −1/2? (a) −4/7 (b) −1/2
  33. 33.What is (−1/5) + 3/5? (a) −4/5 (b) 2/5 (c) 1/5 (d) −2/5
  34. 34.Which is bigger: −5/9 or −2/9? (a) −5/9 (b) −2/9
  35. 35.Is 6/9 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −6/7 or −1/9? (a) −6/7 (b) −1/9
  37. 37.What is 5/9 − (−7/8)? (a) −103/72 (b) 12/17 (c) −23/72 (d) 103/72
  38. 38.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) 8/7 (c) −7/8 (d) 7/8
  39. 39.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) −20/32 (b) −5/8 (c) −8/5 (d) 5/8
  40. 40.What is (−5/8) + 3/5? (a) −49/40 (b) −2/13 (c) 1/40 (d) −1/40

Answer key

  1. −23/42
  2. −3/7
  3. −1/5
  4. Positive
  5. −1/5
  6. 8/45
  7. −23/28
  8. −41/28
  9. −4/45
  10. Negative
  11. −1/6
  12. −1/4
  13. 2/7
  14. −2/9
  15. −7/4
  16. 1/12
  17. −3/14
  18. −3/7
  19. 2/3
  20. −4/9
  21. Positive
  22. −41/42
  23. −3/5
  24. 19/36
  25. −3/4
  26. −6
  27. −3/8
  28. 7/3
  29. −17/72
  30. −4/7
  31. 1/3
  32. −4/7
  33. 2/5
  34. −2/9
  35. Positive
  36. −1/9
  37. 103/72
  38. 8/7
  39. −5/8
  40. −1/40

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