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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 961 · 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) + (−4/9)? (a) −1/3 (b) 2/3 (c) −2/3 (d) 2/9
  2. 2.What is 7/8 − (−1/3)? (a) 8/11 (b) 13/24 (c) −29/24 (d) 29/24
  3. 3.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  4. 4.Write −18/30 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −18/30 (c) 3/5 (d) −3/5
  5. 5.What is 2/9 − (−1/7)? (a) −23/63 (b) 3/16 (c) 5/63 (d) 23/63
  6. 6.What is (−1/4) − (−4/7)? (a) 3/11 (b) 9/28 (c) −23/28 (d) −9/28
  7. 7.What is 1/3 + (−4/5)? (a) 7/15 (b) 17/15 (c) −3/8 (d) −7/15
  8. 8.What is (−5/7) + 1/5? (a) −32/35 (b) −1/3 (c) 18/35 (d) −18/35
  9. 9.What is (−3/8) − (−3/4)? (a) −3/8 (b) −9/8 (c) 3/8 (d) 0
  10. 10.What is (−7/9) + (−7/9)? (a) −7/9 (b) 14/9 (c) −14/9 (d) 0
  11. 11.What is the additive inverse of 3/8? (a) −8/3 (b) −3/8 (c) 3/8 (d) 8/3
  12. 12.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −42/48
  13. 13.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) 7/2 (c) 2/7 (d) −7/2
  14. 14.What is 1/5 − (−2/9)? (a) 3/14 (b) −1/45 (c) 19/45 (d) −19/45
  15. 15.Is −3/8 positive or negative? (a) Negative (b) Positive
  16. 16.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −12/30 (d) −2/5
  17. 17.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  18. 18.Write −30/36 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −30/36 (c) 5/6 (d) −6/5
  19. 19.What is the reciprocal (multiplicative inverse) of −2/3? (a) −2/3 (b) 3/2 (c) −3/2 (d) 2/3
  20. 20.Which is bigger: −1/8 or −4/7? (a) −4/7 (b) −1/8
  21. 21.What is the additive inverse of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  22. 22.What is the additive inverse of −1/6? (a) 1/6 (b) −1/6 (c) 6 (d) −6
  23. 23.What is (−1/3) + (−1/4)? (a) −1/12 (b) 7/12 (c) −7/12 (d) −2/7
  24. 24.What is the additive inverse of 3/7? (a) −7/3 (b) −3/7 (c) 7/3 (d) 3/7
  25. 25.Which is smaller: −1/5 or −1/2? (a) −1/2 (b) −1/5
  26. 26.What is (−7/9) − 6/7? (a) 5/63 (b) −13/16 (c) −103/63 (d) 103/63
  27. 27.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −24/28
  28. 28.Is 3/8 positive or negative? (a) Positive (b) Negative
  29. 29.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) −6/7 (c) −7/6 (d) 6/7
  30. 30.Write −15/20 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) −15/20 (d) 3/4
  31. 31.Is −7/(−9) positive or negative? (a) Negative (b) Positive
  32. 32.Which is bigger: −4/5 or −4/9? (a) −4/5 (b) −4/9
  33. 33.Is 5/(−8) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−1/3) + 1/6? (a) 1/6 (b) −1/2 (c) 0 (d) −1/6
  35. 35.What is the reciprocal (multiplicative inverse) of 2/9? (a) 2/9 (b) 9/2 (c) −2/9 (d) −9/2
  36. 36.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) 5/9 (c) −5/9 (d) −9/5
  37. 37.Write −14/16 in standard form (lowest terms, positive denominator). (a) −8/7 (b) 7/8 (c) −7/8 (d) −14/16
  38. 38.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) −1/8 (c) 8 (d) 1/8
  39. 39.Is 2/(−5) positive or negative? (a) Negative (b) Positive
  40. 40.Write −18/24 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) −18/24 (d) 3/4

Answer key

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

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