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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 574 · 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 (−3/4) + 4/9? (a) 11/36 (b) −43/36 (c) 1/13 (d) −11/36
  2. 2.Which is bigger: −1/8 or −4/9? (a) −4/9 (b) −1/8
  3. 3.Is 2/5 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−3/4) + 5/9? (a) −7/36 (b) 7/36 (c) 2/13 (d) −47/36
  5. 5.Which is bigger: −4/7 or 3/5? (a) 3/5 (b) −4/7
  6. 6.What is 5/9 + (−3/5)? (a) 2/45 (b) 1/7 (c) 52/45 (d) −2/45
  7. 7.Is 8/(−5) positive or negative? (a) Positive (b) Negative
  8. 8.What is (−5/7) − 1/2? (a) −17/14 (b) 17/14 (c) −2/3 (d) −3/14
  9. 9.What is (−5/9) + 2/3? (a) −11/9 (b) −1/9 (c) −1/4 (d) 1/9
  10. 10.What is (−2/7) + 5/8? (a) 1/5 (b) 19/56 (c) −19/56 (d) −51/56
  11. 11.Which is smaller: −1/5 or −5/8? (a) −1/5 (b) −5/8
  12. 12.Which is smaller: −8/9 or 1/7? (a) 1/7 (b) −8/9
  13. 13.What is 4/7 + (−1/7)? (a) −3/7 (b) 5/7 (c) 3/14 (d) 3/7
  14. 14.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  15. 15.What is (−4/7) − 3/5? (a) 41/35 (b) −7/12 (c) 1/35 (d) −41/35
  16. 16.Which is bigger: −1/3 or 5/9? (a) −1/3 (b) 5/9
  17. 17.What is 1/3 + (−3/8)? (a) −2/11 (b) −1/24 (c) 17/24 (d) 1/24
  18. 18.What is 8/9 + (−3/4)? (a) −5/36 (b) 59/36 (c) 5/13 (d) 5/36
  19. 19.Is 2/4 positive or negative? (a) Positive (b) Negative
  20. 20.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −5/7 (d) −7/5
  21. 21.Is 3/5 positive or negative? (a) Negative (b) Positive
  22. 22.Is 8/3 positive or negative? (a) Negative (b) Positive
  23. 23.Write −6/54 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −6/54 (c) −9/1 (d) −1/9
  24. 24.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −2/10 (c) 1/5 (d) −1/5
  25. 25.What is 5/9 − (−1/4)? (a) 29/36 (b) 11/36 (c) −29/36 (d) 6/13
  26. 26.Which is bigger: −4/7 or −1/2? (a) −1/2 (b) −4/7
  27. 27.Which is bigger: −1/4 or −2/5? (a) −2/5 (b) −1/4
  28. 28.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  29. 29.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) −3/5 (c) −5/3 (d) 3/5
  30. 30.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −18/48 (d) −8/3
  31. 31.What is 2/7 + (−1/3)? (a) 13/21 (b) −1/21 (c) 1/21 (d) 1/10
  32. 32.What is (−7/9) − (−3/7)? (a) 22/63 (b) −22/63 (c) −1/4 (d) −76/63
  33. 33.What is the additive inverse of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  34. 34.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) −35/40 (b) 7/8 (c) −7/8 (d) −8/7
  35. 35.Which is smaller: −4/5 or 7/8? (a) −4/5 (b) 7/8
  36. 36.What is (−4/7) − 2/3? (a) 26/21 (b) −26/21 (c) −3/5 (d) 2/21
  37. 37.What is (−2/3) + (−1/8)? (a) −3/11 (b) −13/24 (c) 19/24 (d) −19/24
  38. 38.What is (−3/4) + 5/6? (a) −1/12 (b) 1/5 (c) −19/12 (d) 1/12
  39. 39.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −10/35 (b) −7/2 (c) −2/7 (d) 2/7
  40. 40.Is −3/4 positive or negative? (a) Negative (b) Positive

Answer key

  1. −11/36
  2. −1/8
  3. Positive
  4. −7/36
  5. 3/5
  6. −2/45
  7. Negative
  8. −17/14
  9. 1/9
  10. 19/56
  11. −5/8
  12. −8/9
  13. 3/7
  14. Negative
  15. −41/35
  16. 5/9
  17. −1/24
  18. 5/36
  19. Positive
  20. −5/7
  21. Positive
  22. Positive
  23. −1/9
  24. −1/5
  25. 29/36
  26. −1/2
  27. −1/4
  28. Positive
  29. −3/5
  30. −3/8
  31. −1/21
  32. −22/63
  33. 1/5
  34. −7/8
  35. −4/5
  36. −26/21
  37. −19/24
  38. 1/12
  39. −2/7
  40. Negative

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