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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 417 · 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 (−4/7) + (−3/7)? (a) −1/2 (b) −1/7 (c) −1 (d) 1
  2. 2.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −2/14 (c) −1/7 (d) −7/1
  3. 3.What is 5/6 − (−1/6)? (a) 1/2 (b) 1 (c) −1 (d) 2/3
  4. 4.Which is bigger: −1/5 or −1/8? (a) −1/8 (b) −1/5
  5. 5.What is (−1/5) + (−4/5)? (a) 1 (b) 3/5 (c) −1/2 (d) −1
  6. 6.What is (−7/8) − 4/9? (a) −11/17 (b) −31/72 (c) 95/72 (d) −95/72
  7. 7.What is (−1/4) + (−4/5)? (a) −5/9 (b) 11/20 (c) 21/20 (d) −21/20
  8. 8.Write 18/(−21) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −18/21 (c) 6/7 (d) −6/7
  9. 9.Write −3/18 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −3/18 (c) −1/6 (d) −6/1
  10. 10.What is (−4/9) − 5/9? (a) −1 (b) 1/9 (c) −1/2 (d) 1
  11. 11.Which is bigger: −4/9 or −1/3? (a) −4/9 (b) −1/3
  12. 12.Which is bigger: −2/7 or −5/6? (a) −5/6 (b) −2/7
  13. 13.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −6/9 (c) −2/3 (d) −3/2
  14. 14.Which is bigger: −1/5 or −4/7? (a) −4/7 (b) −1/5
  15. 15.Which is smaller: −2/3 or 1/3? (a) 1/3 (b) −2/3
  16. 16.Which is bigger: −5/8 or 3/7? (a) −5/8 (b) 3/7
  17. 17.Is −4/4 positive or negative? (a) Negative (b) Positive
  18. 18.Is 6/3 positive or negative? (a) Positive (b) Negative
  19. 19.What is 5/8 − (−7/8)? (a) 3/2 (b) −1/4 (c) −3/2 (d) 3/4
  20. 20.Is 3/4 positive or negative? (a) Positive (b) Negative
  21. 21.What is 2/7 − (−7/8)? (a) 3/5 (b) −33/56 (c) −65/56 (d) 65/56
  22. 22.What is (−3/4) − 1/7? (a) −25/28 (b) −4/11 (c) −17/28 (d) 25/28
  23. 23.What is (−5/8) − 1/5? (a) −33/40 (b) −17/40 (c) 33/40 (d) −6/13
  24. 24.What is (−3/8) − (−1/5)? (a) −7/40 (b) −23/40 (c) 7/40 (d) −2/13
  25. 25.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −4/28 (c) −7/1 (d) −1/7
  26. 26.What is (−4/5) − 3/7? (a) −7/12 (b) 43/35 (c) −13/35 (d) −43/35
  27. 27.What is (−1/8) + 1/4? (a) −3/8 (b) 0 (c) 1/8 (d) −1/8
  28. 28.Is 4/4 positive or negative? (a) Negative (b) Positive
  29. 29.Is 4/9 positive or negative? (a) Negative (b) Positive
  30. 30.What is (−4/7) + 4/7? (a) 0 (b) −8/7
  31. 31.Which is smaller: −2/7 or −5/7? (a) −5/7 (b) −2/7
  32. 32.Which is bigger: −5/8 or −1/2? (a) −5/8 (b) −1/2
  33. 33.What is (−1/4) + 4/5? (a) 1/3 (b) 11/20 (c) −11/20 (d) −21/20
  34. 34.What is 2/7 + (−2/9)? (a) −4/63 (b) 0 (c) 32/63 (d) 4/63
  35. 35.What is (−3/8) + 1/3? (a) −2/11 (b) 1/24 (c) −17/24 (d) −1/24
  36. 36.Which is smaller: −1/5 or 2/7? (a) 2/7 (b) −1/5
  37. 37.Write −3/12 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −3/12
  38. 38.What is the additive inverse of 1/2? (a) −1/2 (b) 2 (c) −2 (d) 1/2
  39. 39.What is (−4/5) + 1/5? (a) −3/10 (b) 3/5 (c) −1 (d) −3/5
  40. 40.Which is smaller: −2/3 or −5/7? (a) −2/3 (b) −5/7

Answer key

  1. −1
  2. −1/7
  3. 1
  4. −1/8
  5. −1
  6. −95/72
  7. −21/20
  8. −6/7
  9. −1/6
  10. −1
  11. −1/3
  12. −2/7
  13. −2/3
  14. −1/5
  15. −2/3
  16. 3/7
  17. Negative
  18. Positive
  19. 3/2
  20. Positive
  21. 65/56
  22. −25/28
  23. −33/40
  24. −7/40
  25. −1/7
  26. −43/35
  27. 1/8
  28. Positive
  29. Positive
  30. 0
  31. −5/7
  32. −1/2
  33. 11/20
  34. 4/63
  35. −1/24
  36. −1/5
  37. −1/4
  38. −1/2
  39. −3/5
  40. −5/7

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