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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 978 · 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 −16/20 in standard form (lowest terms, positive denominator). (a) −16/20 (b) 4/5 (c) −5/4 (d) −4/5
  2. 2.Which is smaller: −1/4 or −5/8? (a) −1/4 (b) −5/8
  3. 3.What is (−3/8) − 2/7? (a) 37/56 (b) −1/3 (c) −37/56 (d) −5/56
  4. 4.What is 1/7 − (−1/9)? (a) −16/63 (b) 2/63 (c) 1/8 (d) 16/63
  5. 5.Which is smaller: −1/9 or 1/6? (a) 1/6 (b) −1/9
  6. 6.What is (−5/9) + (−4/9)? (a) 1 (b) −1/2 (c) −1 (d) −1/9
  7. 7.Which is bigger: −3/7 or 7/8? (a) −3/7 (b) 7/8
  8. 8.What is (−2/3) + 8/9? (a) −2/9 (b) −14/9 (c) 2/9 (d) 1/2
  9. 9.What is the additive inverse of −8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  10. 10.Which is bigger: −1/6 or 1/4? (a) −1/6 (b) 1/4
  11. 11.Write 10/(−25) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −5/2 (d) −10/25
  12. 12.What is (−4/7) + 7/8? (a) −17/56 (b) −81/56 (c) 1/5 (d) 17/56
  13. 13.What is the additive inverse of 2/7? (a) 7/2 (b) −2/7 (c) 2/7 (d) −7/2
  14. 14.What is (−4/5) − (−1/2)? (a) −3/10 (b) 3/10 (c) −3/7 (d) −13/10
  15. 15.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −4/32 (c) −8/1 (d) −1/8
  16. 16.What is (−1/7) − 5/9? (a) 26/63 (b) −3/8 (c) 44/63 (d) −44/63
  17. 17.Which is bigger: −1/5 or −1/4? (a) −1/5 (b) −1/4
  18. 18.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  19. 19.What is (−7/9) + 1/5? (a) −44/45 (b) −3/7 (c) 26/45 (d) −26/45
  20. 20.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  21. 21.What is 1/4 + (−3/4)? (a) −1/2 (b) 1 (c) 1/2 (d) −1/4
  22. 22.What is (−7/9) + (−1/8)? (a) −65/72 (b) 65/72 (c) −8/17 (d) −47/72
  23. 23.Which is bigger: −3/5 or −4/9? (a) −3/5 (b) −4/9
  24. 24.Which is bigger: −5/7 or −1/3? (a) −5/7 (b) −1/3
  25. 25.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −1/5 (c) 1/5 (d) −5/1
  26. 26.What is the reciprocal (multiplicative inverse) of −2/5? (a) 2/5 (b) −5/2 (c) −2/5 (d) 5/2
  27. 27.What is (−5/6) + (−5/9)? (a) −2/3 (b) −25/18 (c) −5/18 (d) 25/18
  28. 28.Which is smaller: −1/7 or −4/5? (a) −1/7 (b) −4/5
  29. 29.Is 7/6 positive or negative? (a) Negative (b) Positive
  30. 30.Which is smaller: −1/7 or −5/9? (a) −1/7 (b) −5/9
  31. 31.What is (−7/8) − 4/9? (a) −31/72 (b) −11/17 (c) −95/72 (d) 95/72
  32. 32.What is (−1/2) − (−3/8)? (a) −7/8 (b) −1/8 (c) 1/5 (d) 1/8
  33. 33.What is the reciprocal (multiplicative inverse) of −5/7? (a) 7/5 (b) 5/7 (c) −5/7 (d) −7/5
  34. 34.Which is bigger: −2/5 or 2/3? (a) 2/3 (b) −2/5
  35. 35.Is −4/4 positive or negative? (a) Positive (b) Negative
  36. 36.What is (−1/2) + (−5/9)? (a) 1/18 (b) −6/11 (c) 19/18 (d) −19/18
  37. 37.What is (−1/4) − 6/7? (a) 31/28 (b) −31/28 (c) −7/11 (d) 17/28
  38. 38.What is (−4/5) − 5/6? (a) 49/30 (b) 1/30 (c) −9/11 (d) −49/30
  39. 39.Is −3/2 positive or negative? (a) Positive (b) Negative
  40. 40.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −4/14 (b) 2/7 (c) −2/7 (d) −7/2

Answer key

  1. −4/5
  2. −5/8
  3. −37/56
  4. 16/63
  5. −1/9
  6. −1
  7. 7/8
  8. 2/9
  9. 8/9
  10. 1/4
  11. −2/5
  12. 17/56
  13. −2/7
  14. −3/10
  15. −1/8
  16. −44/63
  17. −1/5
  18. Positive
  19. −26/45
  20. 7/5
  21. −1/2
  22. −65/72
  23. −4/9
  24. −1/3
  25. −1/5
  26. −5/2
  27. −25/18
  28. −4/5
  29. Positive
  30. −5/9
  31. −95/72
  32. −1/8
  33. −7/5
  34. 2/3
  35. Negative
  36. −19/18
  37. −31/28
  38. −49/30
  39. Negative
  40. −2/7

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