← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 132 · 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.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −4/3 (c) −3/4 (d) 3/4
  2. 2.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  3. 3.Is 4/5 positive or negative? (a) Positive (b) Negative
  4. 4.Which is smaller: −1/8 or −4/9? (a) −4/9 (b) −1/8
  5. 5.What is (−3/5) − (−4/7)? (a) −41/35 (b) 1/12 (c) −1/35 (d) 1/35
  6. 6.What is (−5/6) − (−4/7)? (a) −1/13 (b) 11/42 (c) −59/42 (d) −11/42
  7. 7.Write −2/14 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −2/14 (c) 1/7 (d) −7/1
  8. 8.What is the additive inverse of 1/6? (a) 6 (b) 1/6 (c) −1/6 (d) −6
  9. 9.Is −6/9 positive or negative? (a) Negative (b) Positive
  10. 10.What is (−3/8) + (−2/3)? (a) 25/24 (b) −5/11 (c) −25/24 (d) 7/24
  11. 11.What is 3/7 + (−3/7)? (a) 0 (b) 6/7
  12. 12.Is 8/4 positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −2/5 or 2/9? (a) −2/5 (b) 2/9
  14. 14.What is (−1/5) − 3/7? (a) 8/35 (b) −1/3 (c) −22/35 (d) 22/35
  15. 15.Write −18/30 in standard form (lowest terms, positive denominator). (a) −3/5 (b) 3/5 (c) −18/30 (d) −5/3
  16. 16.What is (−5/8) + 4/7? (a) −3/56 (b) 3/56 (c) −67/56 (d) −1/15
  17. 17.Write −2/6 in standard form (lowest terms, positive denominator). (a) −2/6 (b) −1/3 (c) 1/3 (d) −3/1
  18. 18.What is (−1/3) + (−5/9)? (a) 8/9 (b) −8/9 (c) −1/2 (d) 2/9
  19. 19.What is 2/5 + (−8/9)? (a) −3/7 (b) −22/45 (c) 22/45 (d) 58/45
  20. 20.Is −9/(−3) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−4/7) + (−7/8)? (a) 17/56 (b) −81/56 (c) 81/56 (d) −11/15
  22. 22.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) −3/12 (b) −1/4 (c) −4/1 (d) 1/4
  23. 23.Which is bigger: −1/8 or 1/7? (a) −1/8 (b) 1/7
  24. 24.What is (−1/5) − 1/3? (a) −8/15 (b) 8/15 (c) 2/15 (d) −1/4
  25. 25.Which is bigger: −2/5 or 1/7? (a) 1/7 (b) −2/5
  26. 26.What is the additive inverse of −5/6? (a) −5/6 (b) −6/5 (c) 6/5 (d) 5/6
  27. 27.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −3/9
  28. 28.Which is smaller: −5/7 or 7/9? (a) −5/7 (b) 7/9
  29. 29.What is (−1/2) − 1/5? (a) −7/10 (b) 7/10 (c) −2/7 (d) −3/10
  30. 30.What is (−1/4) + 7/8? (a) −9/8 (b) 1/2 (c) −5/8 (d) 5/8
  31. 31.Write −10/35 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −10/35
  32. 32.What is 1/2 − (−7/8)? (a) 11/8 (b) 4/5 (c) −3/8 (d) −11/8
  33. 33.What is the additive inverse of 5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  34. 34.What is (−3/7) − 1/2? (a) −4/9 (b) 1/14 (c) 13/14 (d) −13/14
  35. 35.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −6/8
  36. 36.What is the additive inverse of 1/9? (a) 9 (b) 1/9 (c) −9 (d) −1/9
  37. 37.What is (−3/7) − (−1/7)? (a) 2/7 (b) −1/7 (c) −4/7 (d) −2/7
  38. 38.Which is smaller: −5/7 or −1/9? (a) −1/9 (b) −5/7
  39. 39.Write −12/15 in standard form (lowest terms, positive denominator). (a) −12/15 (b) −4/5 (c) −5/4 (d) 4/5
  40. 40.Write −35/40 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −8/7 (d) −35/40

Answer key

  1. −3/4
  2. Positive
  3. Positive
  4. −4/9
  5. −1/35
  6. −11/42
  7. −1/7
  8. −1/6
  9. Negative
  10. −25/24
  11. 0
  12. Positive
  13. 2/9
  14. −22/35
  15. −3/5
  16. −3/56
  17. −1/3
  18. −8/9
  19. −22/45
  20. Positive
  21. −81/56
  22. −1/4
  23. 1/7
  24. −8/15
  25. 1/7
  26. 5/6
  27. −1/3
  28. −5/7
  29. −7/10
  30. 5/8
  31. −2/7
  32. 11/8
  33. −5/7
  34. −13/14
  35. −3/4
  36. −1/9
  37. −2/7
  38. −5/7
  39. −4/5
  40. −7/8

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets