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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 446 · 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 2/9 − (−3/7)? (a) −13/63 (b) −41/63 (c) 5/16 (d) 41/63
  2. 2.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −2/16 (b) −8/1 (c) 1/8 (d) −1/8
  3. 3.What is 1/4 − (−6/7)? (a) 31/28 (b) −17/28 (c) −31/28 (d) 7/11
  4. 4.What is (−7/8) + 2/5? (a) 19/40 (b) −5/13 (c) −51/40 (d) −19/40
  5. 5.Is −6/(−3) positive or negative? (a) Positive (b) Negative
  6. 6.Is −5/3 positive or negative? (a) Negative (b) Positive
  7. 7.What is (−3/5) − 1/4? (a) 17/20 (b) −17/20 (c) −7/20 (d) −4/9
  8. 8.Which is bigger: −2/3 or 5/6? (a) −2/3 (b) 5/6
  9. 9.What is 7/9 − (−1/8)? (a) −65/72 (b) 8/17 (c) 65/72 (d) 47/72
  10. 10.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −9/12 (d) −4/3
  11. 11.What is the additive inverse of −2/3? (a) −2/3 (b) 3/2 (c) 2/3 (d) −3/2
  12. 12.What is (−1/9) + (−5/8)? (a) 37/72 (b) 53/72 (c) −53/72 (d) −6/17
  13. 13.What is the additive inverse of −4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  14. 14.Write −42/54 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −42/54 (c) 7/9 (d) −7/9
  15. 15.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) −7/2 (c) 7/2 (d) 2/7
  16. 16.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  17. 17.What is (−1/8) + (−3/4)? (a) 5/8 (b) −7/8 (c) −1/3 (d) 7/8
  18. 18.Write −12/30 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −2/5 (c) −12/30 (d) 2/5
  19. 19.What is (−7/9) − 8/9? (a) −5/6 (b) 5/3 (c) 1/9 (d) −5/3
  20. 20.What is 3/5 + (−1/4)? (a) 2/9 (b) 17/20 (c) 7/20 (d) −7/20
  21. 21.What is the additive inverse of 3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  22. 22.What is the additive inverse of −5/8? (a) 5/8 (b) −5/8 (c) 8/5 (d) −8/5
  23. 23.What is (−3/8) + (−2/3)? (a) 25/24 (b) −25/24 (c) 7/24 (d) −5/11
  24. 24.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −10/14 (c) −7/5 (d) −5/7
  25. 25.Write −18/42 in standard form (lowest terms, positive denominator). (a) −18/42 (b) 3/7 (c) −7/3 (d) −3/7
  26. 26.What is (−1/4) + 1/6? (a) 1/12 (b) 0 (c) −5/12 (d) −1/12
  27. 27.Which is bigger: −2/3 or −1/3? (a) −2/3 (b) −1/3
  28. 28.Which is bigger: −4/9 or 5/6? (a) −4/9 (b) 5/6
  29. 29.What is (−5/7) + 3/4? (a) −41/28 (b) −1/28 (c) −2/11 (d) 1/28
  30. 30.What is (−1/3) − 1/3? (a) 0 (b) −2/3 (c) 2/3 (d) −1/3
  31. 31.What is (−2/5) + 5/8? (a) 9/40 (b) 3/13 (c) −9/40 (d) −41/40
  32. 32.Is −5/2 positive or negative? (a) Positive (b) Negative
  33. 33.What is 2/7 − (−1/7)? (a) −3/7 (b) 1/7 (c) 3/7 (d) 3/14
  34. 34.What is (−5/9) − (−1/3)? (a) −1/3 (b) −8/9 (c) −2/9 (d) 2/9
  35. 35.Which is bigger: −5/7 or 3/5? (a) −5/7 (b) 3/5
  36. 36.What is the additive inverse of 8/9? (a) −8/9 (b) 9/8 (c) 8/9 (d) −9/8
  37. 37.Write −36/42 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −36/42 (d) −6/7
  38. 38.What is the reciprocal (multiplicative inverse) of −1/7? (a) −1/7 (b) 1/7 (c) 7 (d) −7
  39. 39.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  40. 40.What is (−3/4) − 3/8? (a) −9/8 (b) −1/2 (c) 9/8 (d) −3/8

Answer key

  1. 41/63
  2. −1/8
  3. 31/28
  4. −19/40
  5. Positive
  6. Negative
  7. −17/20
  8. 5/6
  9. 65/72
  10. −3/4
  11. 2/3
  12. −53/72
  13. 4/5
  14. −7/9
  15. −7/2
  16. Positive
  17. −7/8
  18. −2/5
  19. −5/3
  20. 7/20
  21. −3/7
  22. 5/8
  23. −25/24
  24. −5/7
  25. −3/7
  26. −1/12
  27. −1/3
  28. 5/6
  29. 1/28
  30. −2/3
  31. 9/40
  32. Negative
  33. 3/7
  34. −2/9
  35. 3/5
  36. −8/9
  37. −6/7
  38. −7
  39. Negative
  40. −9/8

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