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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 181 · 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/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −12/15 (d) −4/5
  2. 2.What is (−1/6) + 3/4? (a) −7/12 (b) 7/12 (c) 1/5 (d) −11/12
  3. 3.What is the additive inverse of −3/4? (a) 4/3 (b) 3/4 (c) −3/4 (d) −4/3
  4. 4.What is 7/8 − (−1/5)? (a) 43/40 (b) 27/40 (c) 8/13 (d) −43/40
  5. 5.What is (−1/3) − 1/2? (a) −2/5 (b) 5/6 (c) −5/6 (d) 1/6
  6. 6.Which is bigger: −6/7 or −5/6? (a) −5/6 (b) −6/7
  7. 7.What is 1/4 − (−5/9)? (a) 29/36 (b) −11/36 (c) 6/13 (d) −29/36
  8. 8.Is −9/(−3) positive or negative? (a) Positive (b) Negative
  9. 9.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −6/24 (c) −4/1 (d) −1/4
  10. 10.Write −6/27 in standard form (lowest terms, positive denominator). (a) −6/27 (b) −9/2 (c) 2/9 (d) −2/9
  11. 11.Is 8/4 positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −4/7 or 1/6? (a) −4/7 (b) 1/6
  13. 13.Is 1/6 positive or negative? (a) Positive (b) Negative
  14. 14.Which is smaller: −2/5 or −1/6? (a) −2/5 (b) −1/6
  15. 15.What is the additive inverse of 3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  16. 16.Which is bigger: −7/9 or −1/9? (a) −7/9 (b) −1/9
  17. 17.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  18. 18.What is (−5/8) + 7/9? (a) 2/17 (b) 11/72 (c) −101/72 (d) −11/72
  19. 19.What is 7/8 + (−4/9)? (a) −31/72 (b) 95/72 (c) 31/72 (d) 3/17
  20. 20.Write −25/45 in standard form (lowest terms, positive denominator). (a) −25/45 (b) −9/5 (c) −5/9 (d) 5/9
  21. 21.Is −7/(−9) positive or negative? (a) Negative (b) Positive
  22. 22.What is (−7/9) + (−5/7)? (a) 94/63 (b) −3/4 (c) −4/63 (d) −94/63
  23. 23.Which is smaller: −5/6 or 3/5? (a) 3/5 (b) −5/6
  24. 24.Is 4/(−5) positive or negative? (a) Positive (b) Negative
  25. 25.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  26. 26.Which is bigger: −2/5 or −1/3? (a) −2/5 (b) −1/3
  27. 27.What is (−3/8) − 3/4? (a) −9/8 (b) 3/8 (c) −1/2 (d) 9/8
  28. 28.What is (−1/9) − (−3/8)? (a) −35/72 (b) 2/17 (c) 19/72 (d) −19/72
  29. 29.What is the additive inverse of −2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  30. 30.Is 4/2 positive or negative? (a) Negative (b) Positive
  31. 31.Write −15/21 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −15/21 (d) −5/7
  32. 32.Which is bigger: −3/7 or −7/8? (a) −7/8 (b) −3/7
  33. 33.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 5/6 (c) 6/5 (d) −6/5
  34. 34.Is −1/7 positive or negative? (a) Positive (b) Negative
  35. 35.Which is bigger: −3/5 or 5/6? (a) 5/6 (b) −3/5
  36. 36.Which is bigger: −4/9 or −1/7? (a) −1/7 (b) −4/9
  37. 37.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −15/24 (c) 5/8 (d) −5/8
  38. 38.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  39. 39.What is (−3/5) − 1/9? (a) 32/45 (b) −32/45 (c) −2/7 (d) −22/45
  40. 40.Write −21/24 in standard form (lowest terms, positive denominator). (a) −21/24 (b) −8/7 (c) −7/8 (d) 7/8

Answer key

  1. −4/5
  2. 7/12
  3. 3/4
  4. 43/40
  5. −5/6
  6. −5/6
  7. 29/36
  8. Positive
  9. −1/4
  10. −2/9
  11. Positive
  12. 1/6
  13. Positive
  14. −2/5
  15. −3/4
  16. −1/9
  17. 9/5
  18. 11/72
  19. 31/72
  20. −5/9
  21. Positive
  22. −94/63
  23. −5/6
  24. Negative
  25. −9/5
  26. −1/3
  27. −9/8
  28. 19/72
  29. 2/5
  30. Positive
  31. −5/7
  32. −3/7
  33. 6/5
  34. Negative
  35. 5/6
  36. −1/7
  37. −5/8
  38. −5/3
  39. −32/45
  40. −7/8

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