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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 25 · 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.Which is bigger: −1/7 or −1/8? (a) −1/8 (b) −1/7
  2. 2.What is (−3/5) − (−1/6)? (a) 13/30 (b) −2/11 (c) −23/30 (d) −13/30
  3. 3.Which is smaller: −1/9 or −1/6? (a) −1/9 (b) −1/6
  4. 4.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −6/24 (d) −1/4
  5. 5.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −9/2 (c) 9/2 (d) −2/9
  6. 6.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −28/32 (b) −8/7 (c) 7/8 (d) −7/8
  7. 7.Which is smaller: −5/7 or −1/8? (a) −1/8 (b) −5/7
  8. 8.Is 4/(−4) positive or negative? (a) Negative (b) Positive
  9. 9.What is 2/9 + (−3/8)? (a) 43/72 (b) −1/17 (c) 11/72 (d) −11/72
  10. 10.What is (−1/5) + 2/3? (a) −13/15 (b) −7/15 (c) 7/15 (d) 1/8
  11. 11.What is 1/5 − (−3/5)? (a) −4/5 (b) 4/5 (c) 2/5 (d) −2/5
  12. 12.Write 10/(−35) in standard form (lowest terms, positive denominator). (a) −10/35 (b) −2/7 (c) −7/2 (d) 2/7
  13. 13.Which is bigger: −1/5 or −2/9? (a) −2/9 (b) −1/5
  14. 14.What is (−5/8) − 2/7? (a) −7/15 (b) −19/56 (c) −51/56 (d) 51/56
  15. 15.Is −7/8 positive or negative? (a) Positive (b) Negative
  16. 16.Write −16/28 in standard form (lowest terms, positive denominator). (a) −7/4 (b) 4/7 (c) −4/7 (d) −16/28
  17. 17.Which is smaller: −1/8 or 4/9? (a) −1/8 (b) 4/9
  18. 18.Which is bigger: −5/9 or 5/6? (a) 5/6 (b) −5/9
  19. 19.Which is smaller: −2/5 or −3/7? (a) −3/7 (b) −2/5
  20. 20.Is 4/6 positive or negative? (a) Positive (b) Negative
  21. 21.Which is smaller: −5/6 or −2/9? (a) −2/9 (b) −5/6
  22. 22.What is (−2/3) + (−7/8)? (a) 37/24 (b) −9/11 (c) 5/24 (d) −37/24
  23. 23.Which is bigger: −1/3 or −8/9? (a) −1/3 (b) −8/9
  24. 24.What is (−1/3) + 6/7? (a) 11/21 (b) −25/21 (c) 1/2 (d) −11/21
  25. 25.What is 6/7 + (−6/7)? (a) 0 (b) 12/7
  26. 26.Write −20/35 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −20/35 (d) −7/4
  27. 27.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −2/7 (c) 2/7 (d) −7/2
  28. 28.Write −8/28 in standard form (lowest terms, positive denominator). (a) −8/28 (b) −2/7 (c) −7/2 (d) 2/7
  29. 29.Which is bigger: −2/5 or −1/8? (a) −2/5 (b) −1/8
  30. 30.What is 4/9 + (−2/5)? (a) −2/45 (b) 2/45 (c) 1/7 (d) 38/45
  31. 31.What is 2/7 − (−3/5)? (a) 31/35 (b) −11/35 (c) −31/35 (d) 5/12
  32. 32.Write −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −20/28 (d) −5/7
  33. 33.Is 8/(−2) positive or negative? (a) Negative (b) Positive
  34. 34.What is (−2/3) − (−8/9)? (a) −14/9 (b) 2/9 (c) 1/2 (d) −2/9
  35. 35.Which is smaller: −4/5 or 2/9? (a) −4/5 (b) 2/9
  36. 36.What is 4/5 − (−2/3)? (a) 22/15 (b) 3/4 (c) −22/15 (d) 2/15
  37. 37.What is (−1/7) + (−1/5)? (a) 12/35 (b) −12/35 (c) 2/35 (d) −1/6
  38. 38.Which is bigger: −5/9 or 3/8? (a) −5/9 (b) 3/8
  39. 39.Which is bigger: −5/9 or 1/2? (a) 1/2 (b) −5/9
  40. 40.What is (−7/9) + 1/2? (a) −6/11 (b) 5/18 (c) −5/18 (d) −23/18

Answer key

  1. −1/8
  2. −13/30
  3. −1/6
  4. −1/4
  5. −9/2
  6. −7/8
  7. −5/7
  8. Negative
  9. −11/72
  10. 7/15
  11. 4/5
  12. −2/7
  13. −1/5
  14. −51/56
  15. Negative
  16. −4/7
  17. −1/8
  18. 5/6
  19. −3/7
  20. Positive
  21. −5/6
  22. −37/24
  23. −1/3
  24. 11/21
  25. 0
  26. −4/7
  27. −2/7
  28. −2/7
  29. −1/8
  30. 2/45
  31. 31/35
  32. −5/7
  33. Negative
  34. 2/9
  35. −4/5
  36. 22/15
  37. −12/35
  38. 3/8
  39. 1/2
  40. −5/18

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