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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 326 · 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 the additive inverse of −2/5? (a) −5/2 (b) 5/2 (c) 2/5 (d) −2/5
  2. 2.What is (−4/7) + (−4/9)? (a) 64/63 (b) −1/2 (c) −64/63 (d) −8/63
  3. 3.Write −9/12 in standard form (lowest terms, positive denominator). (a) −9/12 (b) −4/3 (c) 3/4 (d) −3/4
  4. 4.Which is bigger: −1/5 or −5/6? (a) −1/5 (b) −5/6
  5. 5.Is 1/2 positive or negative? (a) Negative (b) Positive
  6. 6.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −10/35
  7. 7.Write −12/28 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −7/3 (c) −12/28 (d) 3/7
  8. 8.What is 4/7 + (−1/5)? (a) 1/4 (b) 27/35 (c) 13/35 (d) −13/35
  9. 9.What is the reciprocal (multiplicative inverse) of 3/7? (a) −7/3 (b) −3/7 (c) 7/3 (d) 3/7
  10. 10.Which is smaller: −1/7 or 1/9? (a) −1/7 (b) 1/9
  11. 11.What is 5/9 − (−7/8)? (a) −103/72 (b) 103/72 (c) 12/17 (d) −23/72
  12. 12.Which is bigger: −5/9 or −6/7? (a) −5/9 (b) −6/7
  13. 13.Which is bigger: −5/6 or −7/8? (a) −7/8 (b) −5/6
  14. 14.What is 3/8 − (−4/9)? (a) 59/72 (b) −59/72 (c) −5/72 (d) 7/17
  15. 15.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  16. 16.What is (−1/4) − 5/8? (a) 7/8 (b) −1/2 (c) −7/8 (d) 3/8
  17. 17.Which is smaller: −2/7 or −7/9? (a) −2/7 (b) −7/9
  18. 18.Write −5/25 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −5/25 (c) 1/5 (d) −1/5
  19. 19.What is 6/7 − (−7/8)? (a) 97/56 (b) −97/56 (c) −1/56 (d) 13/15
  20. 20.Is −1/(−7) positive or negative? (a) Positive (b) Negative
  21. 21.What is 5/6 + (−5/7)? (a) 0 (b) 65/42 (c) −5/42 (d) 5/42
  22. 22.What is (−1/5) − 2/7? (a) −1/4 (b) 17/35 (c) 3/35 (d) −17/35
  23. 23.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −8/10 (c) 4/5 (d) −4/5
  24. 24.What is the additive inverse of 1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  25. 25.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −2 (c) −1/2 (d) 2
  26. 26.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 6/7 (c) 7/6 (d) −6/7
  27. 27.What is 1/2 + (−3/7)? (a) 13/14 (b) 1/14 (c) −1/14 (d) −2/9
  28. 28.What is 2/9 + (−1/5)? (a) 19/45 (b) 1/45 (c) −1/45 (d) 1/14
  29. 29.What is (−2/7) + 3/4? (a) −29/28 (b) 13/28 (c) −13/28 (d) 1/11
  30. 30.Is −6/3 positive or negative? (a) Negative (b) Positive
  31. 31.What is (−2/9) − 3/4? (a) 19/36 (b) −35/36 (c) −5/13 (d) 35/36
  32. 32.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  33. 33.What is (−3/4) + (−1/5)? (a) −19/20 (b) −4/9 (c) −11/20 (d) 19/20
  34. 34.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −9/4 (b) −16/36 (c) 4/9 (d) −4/9
  35. 35.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −12/30 (c) −5/2 (d) −2/5
  36. 36.What is (−1/8) − 2/3? (a) −3/11 (b) 13/24 (c) −19/24 (d) 19/24
  37. 37.Is 7/6 positive or negative? (a) Positive (b) Negative
  38. 38.Is −4/(−2) positive or negative? (a) Positive (b) Negative
  39. 39.What is (−3/7) + (−4/9)? (a) −7/16 (b) 55/63 (c) −55/63 (d) 1/63
  40. 40.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −12/18 (d) −2/3

Answer key

  1. 2/5
  2. −64/63
  3. −3/4
  4. −1/5
  5. Positive
  6. −2/7
  7. −3/7
  8. 13/35
  9. 7/3
  10. −1/7
  11. 103/72
  12. −5/9
  13. −5/6
  14. 59/72
  15. −4/3
  16. −7/8
  17. −7/9
  18. −1/5
  19. 97/56
  20. Positive
  21. 5/42
  22. −17/35
  23. −4/5
  24. −1/3
  25. 2
  26. 7/6
  27. 1/14
  28. 1/45
  29. 13/28
  30. Negative
  31. −35/36
  32. 7/4
  33. −19/20
  34. −4/9
  35. −2/5
  36. −19/24
  37. Positive
  38. Positive
  39. −55/63
  40. −2/3

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