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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 798 · 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 −2/12 in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) −2/12 (d) 1/6
  2. 2.What is 1/6 + (−5/9)? (a) −4/15 (b) −7/18 (c) 7/18 (d) 13/18
  3. 3.Which is smaller: −3/5 or 8/9? (a) 8/9 (b) −3/5
  4. 4.Write −10/35 in standard form (lowest terms, positive denominator). (a) −10/35 (b) −2/7 (c) 2/7 (d) −7/2
  5. 5.Which is bigger: −4/9 or 3/7? (a) −4/9 (b) 3/7
  6. 6.Is −9/5 positive or negative? (a) Positive (b) Negative
  7. 7.What is (−2/3) + 2/3? (a) −4/3 (b) 0
  8. 8.Which is smaller: −3/5 or 1/7? (a) 1/7 (b) −3/5
  9. 9.Is −1/9 positive or negative? (a) Positive (b) Negative
  10. 10.What is 2/3 − (−1/7)? (a) −17/21 (b) 17/21 (c) 3/10 (d) 11/21
  11. 11.Which is bigger: −2/5 or −8/9? (a) −8/9 (b) −2/5
  12. 12.Is −1/(−4) positive or negative? (a) Positive (b) Negative
  13. 13.What is the additive inverse of −1/4? (a) 1/4 (b) −1/4 (c) 4 (d) −4
  14. 14.Which is smaller: −5/9 or 4/9? (a) 4/9 (b) −5/9
  15. 15.What is 2/3 + (−3/7)? (a) 23/21 (b) −5/21 (c) 5/21 (d) −1/10
  16. 16.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  17. 17.Write −25/30 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −25/30 (d) −5/6
  18. 18.Which is bigger: −3/4 or 5/8? (a) −3/4 (b) 5/8
  19. 19.Is −3/(−8) positive or negative? (a) Negative (b) Positive
  20. 20.Is −6/2 positive or negative? (a) Negative (b) Positive
  21. 21.What is the reciprocal (multiplicative inverse) of −6/7? (a) −6/7 (b) 6/7 (c) −7/6 (d) 7/6
  22. 22.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) 4/7 (d) −8/14
  23. 23.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −1/4 (b) −2/8 (c) −4/1 (d) 1/4
  24. 24.What is (−4/5) + (−1/3)? (a) −7/15 (b) −17/15 (c) −5/8 (d) 17/15
  25. 25.Write 21/(−27) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −9/7 (d) −21/27
  26. 26.What is (−3/4) + 2/7? (a) −1/11 (b) 13/28 (c) −29/28 (d) −13/28
  27. 27.Write −5/35 in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −5/35 (d) −7/1
  28. 28.What is (−5/6) + (−5/7)? (a) −5/42 (b) 65/42 (c) −65/42 (d) −10/13
  29. 29.Is 4/(−7) positive or negative? (a) Negative (b) Positive
  30. 30.What is 5/8 + (−2/3)? (a) 1/24 (b) 31/24 (c) 3/11 (d) −1/24
  31. 31.Write −12/16 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −12/16 (c) 3/4 (d) −3/4
  32. 32.What is (−4/7) + (−1/6)? (a) −5/13 (b) −31/42 (c) −17/42 (d) 31/42
  33. 33.Is −4/4 positive or negative? (a) Positive (b) Negative
  34. 34.Which is smaller: −5/8 or −6/7? (a) −6/7 (b) −5/8
  35. 35.Which is bigger: −2/3 or −1/5? (a) −2/3 (b) −1/5
  36. 36.What is (−2/3) − (−4/7)? (a) −2/21 (b) 1/5 (c) −26/21 (d) 2/21
  37. 37.What is (−1/2) + 4/9? (a) 3/11 (b) −1/18 (c) 1/18 (d) −17/18
  38. 38.What is 5/6 − (−1/2)? (a) 3/4 (b) −4/3 (c) 1/3 (d) 4/3
  39. 39.Is −4/6 positive or negative? (a) Negative (b) Positive
  40. 40.Which is bigger: −1/7 or −4/9? (a) −4/9 (b) −1/7

Answer key

  1. −1/6
  2. −7/18
  3. −3/5
  4. −2/7
  5. 3/7
  6. Negative
  7. 0
  8. −3/5
  9. Negative
  10. 17/21
  11. −2/5
  12. Positive
  13. 1/4
  14. −5/9
  15. 5/21
  16. 5/3
  17. −5/6
  18. 5/8
  19. Positive
  20. Negative
  21. −7/6
  22. −4/7
  23. −1/4
  24. −17/15
  25. −7/9
  26. −13/28
  27. −1/7
  28. −65/42
  29. Negative
  30. −1/24
  31. −3/4
  32. −31/42
  33. Negative
  34. −6/7
  35. −1/5
  36. −2/21
  37. −1/18
  38. 4/3
  39. Negative
  40. −1/7

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