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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 241 · 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.Is −9/2 positive or negative? (a) Negative (b) Positive
  2. 2.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  3. 3.What is (−3/8) + 5/6? (a) 11/24 (b) 1/7 (c) −29/24 (d) −11/24
  4. 4.Which is smaller: −5/9 or −3/5? (a) −5/9 (b) −3/5
  5. 5.What is the reciprocal (multiplicative inverse) of 1/4? (a) −1/4 (b) −4 (c) 1/4 (d) 4
  6. 6.Is −6/3 positive or negative? (a) Negative (b) Positive
  7. 7.Is −1/6 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−1/2) + (−3/5)? (a) 1/10 (b) −4/7 (c) 11/10 (d) −11/10
  9. 9.What is (−3/4) − 1/7? (a) −25/28 (b) 25/28 (c) −17/28 (d) −4/11
  10. 10.What is (−1/4) − 3/5? (a) −4/9 (b) 17/20 (c) 7/20 (d) −17/20
  11. 11.What is the reciprocal (multiplicative inverse) of −1/6? (a) −1/6 (b) 6 (c) 1/6 (d) −6
  12. 12.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −3/7 (d) −7/3
  13. 13.What is (−5/9) − (−4/9)? (a) −1 (b) −1/9 (c) −1/18 (d) 1/9
  14. 14.What is (−1/9) − (−2/9)? (a) 1/9 (b) −1/9 (c) 1/18 (d) −1/3
  15. 15.What is (−1/6) + 3/8? (a) −5/24 (b) 1/7 (c) 5/24 (d) −13/24
  16. 16.Is −8/(−2) positive or negative? (a) Negative (b) Positive
  17. 17.What is the additive inverse of 6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  18. 18.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −18/24 (d) −4/3
  19. 19.What is (−2/7) + 4/5? (a) 18/35 (b) −38/35 (c) 1/6 (d) −18/35
  20. 20.Is 4/5 positive or negative? (a) Negative (b) Positive
  21. 21.Which is bigger: −2/7 or −4/5? (a) −4/5 (b) −2/7
  22. 22.What is 5/6 + (−4/5)? (a) 1/11 (b) −1/30 (c) 49/30 (d) 1/30
  23. 23.What is (−3/5) + (−4/9)? (a) −47/45 (b) −7/45 (c) −1/2 (d) 47/45
  24. 24.Which is smaller: −5/9 or −4/5? (a) −5/9 (b) −4/5
  25. 25.Write −30/42 in standard form (lowest terms, positive denominator). (a) −30/42 (b) 5/7 (c) −5/7 (d) −7/5
  26. 26.What is (−2/5) + (−3/5)? (a) 1 (b) −1 (c) −1/2 (d) 1/5
  27. 27.What is 7/8 + (−5/6)? (a) 1/7 (b) 1/24 (c) −1/24 (d) 41/24
  28. 28.Write −18/21 in standard form (lowest terms, positive denominator). (a) −6/7 (b) 6/7 (c) −18/21 (d) −7/6
  29. 29.What is (−3/8) − (−1/8)? (a) −1/8 (b) 1/4 (c) −1/2 (d) −1/4
  30. 30.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) 3/5 (c) −5/3 (d) −3/5
  31. 31.What is (−1/2) + (−3/7)? (a) −4/9 (b) −13/14 (c) −1/14 (d) 13/14
  32. 32.What is 4/5 + (−3/8)? (a) 1/13 (b) 47/40 (c) 17/40 (d) −17/40
  33. 33.What is 2/7 + (−1/5)? (a) 3/35 (b) 1/12 (c) −3/35 (d) 17/35
  34. 34.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  35. 35.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −10/14 (d) 5/7
  36. 36.Is 2/8 positive or negative? (a) Positive (b) Negative
  37. 37.Which is bigger: −5/7 or −5/6? (a) −5/6 (b) −5/7
  38. 38.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) −5/2 (c) 2/5 (d) 5/2
  39. 39.What is (−4/7) + (−7/9)? (a) 13/63 (b) −85/63 (c) 85/63 (d) −11/16
  40. 40.Write −24/28 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −24/28

Answer key

  1. Negative
  2. 7/5
  3. 11/24
  4. −3/5
  5. 4
  6. Negative
  7. Negative
  8. −11/10
  9. −25/28
  10. −17/20
  11. −6
  12. −3/7
  13. −1/9
  14. 1/9
  15. 5/24
  16. Positive
  17. −6/7
  18. −3/4
  19. 18/35
  20. Positive
  21. −2/7
  22. 1/30
  23. −47/45
  24. −4/5
  25. −5/7
  26. −1
  27. 1/24
  28. −6/7
  29. −1/4
  30. −3/5
  31. −13/14
  32. 17/40
  33. 3/35
  34. 5/3
  35. −5/7
  36. Positive
  37. −5/7
  38. 5/2
  39. −85/63
  40. −6/7

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