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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 588 · 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 (−1/9) − 3/7? (a) −1/4 (b) −34/63 (c) 20/63 (d) 34/63
  2. 2.What is (−5/6) − 1/3? (a) −1/2 (b) −2/3 (c) 7/6 (d) −7/6
  3. 3.Is 7/8 positive or negative? (a) Positive (b) Negative
  4. 4.Which is bigger: −3/7 or −4/7? (a) −4/7 (b) −3/7
  5. 5.What is (−3/7) − 4/5? (a) 13/35 (b) −43/35 (c) 43/35 (d) −7/12
  6. 6.Write −20/35 in standard form (lowest terms, positive denominator). (a) −7/4 (b) −4/7 (c) −20/35 (d) 4/7
  7. 7.What is (−1/4) + (−7/9)? (a) −8/13 (b) 19/36 (c) 37/36 (d) −37/36
  8. 8.Which is smaller: −2/5 or −4/9? (a) −2/5 (b) −4/9
  9. 9.What is (−4/9) + 4/9? (a) −8/9 (b) 0
  10. 10.Which is smaller: −2/9 or −1/7? (a) −2/9 (b) −1/7
  11. 11.Which is bigger: −3/5 or −3/7? (a) −3/5 (b) −3/7
  12. 12.Write −20/45 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −9/4 (d) −20/45
  13. 13.What is (−2/5) + (−5/7)? (a) 11/35 (b) 39/35 (c) −7/12 (d) −39/35
  14. 14.What is (−6/7) − 1/4? (a) 31/28 (b) −17/28 (c) −31/28 (d) −7/11
  15. 15.What is (−1/4) − (−2/3)? (a) −5/12 (b) −11/12 (c) 1/7 (d) 5/12
  16. 16.What is (−1/3) + (−1/6)? (a) 1/2 (b) −2/9 (c) −1/2 (d) −1/6
  17. 17.What is the additive inverse of −5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  18. 18.Write −9/15 in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −9/15 (d) −5/3
  19. 19.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −6/21
  20. 20.What is (−1/5) + 1/3? (a) −2/15 (b) 0 (c) 2/15 (d) −8/15
  21. 21.Which is bigger: −1/2 or 4/5? (a) −1/2 (b) 4/5
  22. 22.What is 2/7 + (−1/6)? (a) −5/42 (b) 5/42 (c) 19/42 (d) 1/13
  23. 23.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −9/1 (c) −2/18 (d) −1/9
  24. 24.Which is smaller: −2/5 or −3/7? (a) −3/7 (b) −2/5
  25. 25.What is the additive inverse of 1/3? (a) 1/3 (b) 3 (c) −3 (d) −1/3
  26. 26.What is 1/2 + (−2/3)? (a) 1/6 (b) −1/6 (c) 7/6 (d) −1/5
  27. 27.Which is bigger: −1/6 or 2/9? (a) 2/9 (b) −1/6
  28. 28.What is (−1/7) + (−1/6)? (a) −2/13 (b) 13/42 (c) −13/42 (d) 1/42
  29. 29.What is the additive inverse of 1/9? (a) 9 (b) 1/9 (c) −9 (d) −1/9
  30. 30.Write −4/14 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −4/14 (c) 2/7 (d) −2/7
  31. 31.What is 6/7 + (−8/9)? (a) −2/63 (b) 110/63 (c) 2/63 (d) −1/8
  32. 32.Which is bigger: −3/8 or −1/8? (a) −3/8 (b) −1/8
  33. 33.Which is bigger: −5/8 or −3/5? (a) −3/5 (b) −5/8
  34. 34.What is 3/4 − (−7/9)? (a) −55/36 (b) 10/13 (c) −1/36 (d) 55/36
  35. 35.What is (−2/5) + (−2/5)? (a) 0 (b) −2/5 (c) 4/5 (d) −4/5
  36. 36.What is (−2/3) − (−1/6)? (a) −1/9 (b) 1/2 (c) −5/6 (d) −1/2
  37. 37.Which is smaller: −1/4 or 2/7? (a) −1/4 (b) 2/7
  38. 38.What is (−5/8) + (−3/5)? (a) −1/40 (b) −8/13 (c) 49/40 (d) −49/40
  39. 39.Is −1/5 positive or negative? (a) Positive (b) Negative
  40. 40.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −8/18 (b) −4/9 (c) −9/4 (d) 4/9

Answer key

  1. −34/63
  2. −7/6
  3. Positive
  4. −3/7
  5. −43/35
  6. −4/7
  7. −37/36
  8. −4/9
  9. 0
  10. −2/9
  11. −3/7
  12. −4/9
  13. −39/35
  14. −31/28
  15. 5/12
  16. −1/2
  17. 5/7
  18. −3/5
  19. −2/7
  20. 2/15
  21. 4/5
  22. 5/42
  23. −1/9
  24. −3/7
  25. −1/3
  26. −1/6
  27. 2/9
  28. −13/42
  29. −1/9
  30. −2/7
  31. −2/63
  32. −1/8
  33. −3/5
  34. 55/36
  35. −4/5
  36. −1/2
  37. −1/4
  38. −49/40
  39. Negative
  40. −4/9

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