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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 12 · 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 (−1/4) − (−2/7)? (a) −15/28 (b) 1/28 (c) 1/11 (d) −1/28
  2. 2.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) 1/2 (d) −4/8
  3. 3.Which is smaller: −3/7 or −1/6? (a) −1/6 (b) −3/7
  4. 4.Which is bigger: −7/9 or −3/4? (a) −7/9 (b) −3/4
  5. 5.Is −3/(−3) positive or negative? (a) Negative (b) Positive
  6. 6.What is 2/7 − (−3/7)? (a) −5/7 (b) 5/14 (c) −1/7 (d) 5/7
  7. 7.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −12/18 (c) −3/2 (d) 2/3
  8. 8.Which is bigger: −3/5 or 5/6? (a) −3/5 (b) 5/6
  9. 9.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  10. 10.What is (−5/9) + 1/2? (a) 1/18 (b) −1/18 (c) −4/11 (d) −19/18
  11. 11.Is 5/(−9) positive or negative? (a) Positive (b) Negative
  12. 12.What is (−4/7) − 1/4? (a) −9/28 (b) −5/11 (c) 23/28 (d) −23/28
  13. 13.What is the reciprocal (multiplicative inverse) of 4/9? (a) 9/4 (b) −4/9 (c) 4/9 (d) −9/4
  14. 14.What is 5/7 − (−3/8)? (a) 8/15 (b) 61/56 (c) −61/56 (d) 19/56
  15. 15.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −10/35 (c) −2/7 (d) −7/2
  16. 16.What is 6/7 − (−1/3)? (a) 7/10 (b) 25/21 (c) 11/21 (d) −25/21
  17. 17.Is −3/5 positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 7/4 (c) 4/7 (d) −4/7
  19. 19.Is 9/(−8) positive or negative? (a) Negative (b) Positive
  20. 20.What is (−4/5) + 1/5? (a) −1 (b) 3/5 (c) −3/5 (d) −3/10
  21. 21.What is (−4/5) − 2/5? (a) 6/5 (b) −2/5 (c) −3/5 (d) −6/5
  22. 22.What is (−6/7) + (−5/9)? (a) −89/63 (b) −11/16 (c) −19/63 (d) 89/63
  23. 23.Which is smaller: −3/8 or 3/7? (a) −3/8 (b) 3/7
  24. 24.What is (−1/2) + 3/8? (a) −1/8 (b) 1/8 (c) 1/5 (d) −7/8
  25. 25.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −4/1 (b) −3/12 (c) 1/4 (d) −1/4
  26. 26.Which is smaller: −2/7 or 5/9? (a) 5/9 (b) −2/7
  27. 27.What is (−5/6) − 1/7? (a) 41/42 (b) −41/42 (c) −6/13 (d) −29/42
  28. 28.Is 6/9 positive or negative? (a) Negative (b) Positive
  29. 29.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  30. 30.What is (−1/7) − (−2/7)? (a) 1/7 (b) 1/14 (c) −1/7 (d) −3/7
  31. 31.What is (−1/6) − (−1/3)? (a) −1/6 (b) 0 (c) −1/2 (d) 1/6
  32. 32.What is the additive inverse of 1/5? (a) −1/5 (b) 5 (c) 1/5 (d) −5
  33. 33.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) 3/4 (c) −4/3 (d) −3/4
  34. 34.Is −4/4 positive or negative? (a) Positive (b) Negative
  35. 35.Is −1/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  37. 37.Which is bigger: −3/8 or −4/5? (a) −4/5 (b) −3/8
  38. 38.Which is bigger: −5/9 or −1/5? (a) −5/9 (b) −1/5
  39. 39.What is (−5/6) + 1/6? (a) 2/3 (b) −1 (c) −1/3 (d) −2/3
  40. 40.Which is smaller: −1/5 or −6/7? (a) −6/7 (b) −1/5

Answer key

  1. 1/28
  2. −1/2
  3. −3/7
  4. −3/4
  5. Positive
  6. 5/7
  7. −2/3
  8. 5/6
  9. 9/5
  10. −1/18
  11. Negative
  12. −23/28
  13. 9/4
  14. 61/56
  15. −2/7
  16. 25/21
  17. Negative
  18. 7/4
  19. Negative
  20. −3/5
  21. −6/5
  22. −89/63
  23. −3/8
  24. −1/8
  25. −1/4
  26. −2/7
  27. −41/42
  28. Positive
  29. 7/3
  30. 1/7
  31. 1/6
  32. −1/5
  33. −3/4
  34. Negative
  35. Positive
  36. Negative
  37. −3/8
  38. −1/5
  39. −2/3
  40. −6/7

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