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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 114 · 40 sums
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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.Is 6/6 positive or negative? (a) Negative (b) Positive
  2. 2.What is the additive inverse of 8/9? (a) 9/8 (b) −9/8 (c) 8/9 (d) −8/9
  3. 3.Is 2/9 positive or negative? (a) Negative (b) Positive
  4. 4.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  5. 5.Write −9/15 in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) 3/5 (d) −3/5
  6. 6.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  7. 7.What is (−6/7) − (−2/5)? (a) −1/3 (b) 16/35 (c) −44/35 (d) −16/35
  8. 8.Is −4/(−6) positive or negative? (a) Positive (b) Negative
  9. 9.Which is bigger: −7/9 or −3/4? (a) −3/4 (b) −7/9
  10. 10.What is (−5/7) − (−4/7)? (a) −9/7 (b) −1/7 (c) 1/7 (d) −1/14
  11. 11.Write −6/27 in standard form (lowest terms, positive denominator). (a) −6/27 (b) 2/9 (c) −9/2 (d) −2/9
  12. 12.What is (−2/9) + (−3/5)? (a) −37/45 (b) 17/45 (c) −5/14 (d) 37/45
  13. 13.What is (−3/7) − 1/9? (a) 34/63 (b) −20/63 (c) −1/4 (d) −34/63
  14. 14.Which is smaller: −1/7 or −1/3? (a) −1/3 (b) −1/7
  15. 15.What is (−3/7) + 7/9? (a) −76/63 (b) 22/63 (c) 1/4 (d) −22/63
  16. 16.What is (−5/6) + 1/6? (a) 2/3 (b) −1 (c) −2/3 (d) −1/3
  17. 17.What is 3/4 − (−1/9)? (a) 4/13 (b) −31/36 (c) 23/36 (d) 31/36
  18. 18.What is (−4/7) + 3/4? (a) −1/11 (b) 5/28 (c) −37/28 (d) −5/28
  19. 19.Write −10/45 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) −10/45 (d) 2/9
  20. 20.What is the reciprocal (multiplicative inverse) of −1/6? (a) −6 (b) 6 (c) −1/6 (d) 1/6
  21. 21.Which is bigger: −3/4 or −5/7? (a) −5/7 (b) −3/4
  22. 22.Is 6/2 positive or negative? (a) Negative (b) Positive
  23. 23.Is −4/6 positive or negative? (a) Positive (b) Negative
  24. 24.What is (−2/3) + (−4/5)? (a) −3/4 (b) 22/15 (c) 2/15 (d) −22/15
  25. 25.What is 1/7 + (−6/7)? (a) 5/7 (b) −5/7 (c) −5/14 (d) 1
  26. 26.Which is bigger: −1/5 or −3/5? (a) −3/5 (b) −1/5
  27. 27.What is (−1/5) + (−4/9)? (a) 29/45 (b) 11/45 (c) −5/14 (d) −29/45
  28. 28.What is 1/2 + (−2/7)? (a) −1/9 (b) 11/14 (c) −3/14 (d) 3/14
  29. 29.What is the additive inverse of −1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  30. 30.Is −6/(−8) positive or negative? (a) Negative (b) Positive
  31. 31.Which is smaller: −3/5 or −1/2? (a) −3/5 (b) −1/2
  32. 32.What is the additive inverse of 1/4? (a) −4 (b) 1/4 (c) 4 (d) −1/4
  33. 33.What is the reciprocal (multiplicative inverse) of 2/5? (a) 5/2 (b) 2/5 (c) −2/5 (d) −5/2
  34. 34.What is (−4/7) − 1/8? (a) 39/56 (b) −25/56 (c) −1/3 (d) −39/56
  35. 35.Is 7/(−3) positive or negative? (a) Negative (b) Positive
  36. 36.What is (−1/8) + (−1/7)? (a) −15/56 (b) −2/15 (c) 15/56 (d) 1/56
  37. 37.Write −4/6 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −4/6 (c) 2/3 (d) −2/3
  38. 38.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −4/8 (d) 1/2
  39. 39.What is (−1/7) − (−1/2)? (a) 0 (b) −9/14 (c) 5/14 (d) −5/14
  40. 40.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) −2/9 (c) −9/2 (d) 2/9

Answer key

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

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