← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 2 · 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 −4/18 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −4/18 (c) −9/2 (d) −2/9
  2. 2.Is 3/(−2) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−5/8) − 7/8? (a) 1/4 (b) −3/2 (c) 3/2 (d) −3/4
  4. 4.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) −8/3 (c) 3/8 (d) −3/8
  5. 5.Which is smaller: −5/7 or 1/8? (a) −5/7 (b) 1/8
  6. 6.Which is bigger: −5/6 or −1/7? (a) −1/7 (b) −5/6
  7. 7.What is (−4/5) + 5/8? (a) −57/40 (b) 1/13 (c) −7/40 (d) 7/40
  8. 8.Is −1/2 positive or negative? (a) Negative (b) Positive
  9. 9.What is (−4/7) − (−3/8)? (a) 11/56 (b) −11/56 (c) −1/15 (d) −53/56
  10. 10.What is (−5/9) + 1/8? (a) −4/17 (b) 31/72 (c) −31/72 (d) −49/72
  11. 11.What is 5/8 − (−4/7)? (a) 67/56 (b) 3/5 (c) −67/56 (d) 3/56
  12. 12.What is (−5/7) + (−3/4)? (a) −41/28 (b) 41/28 (c) 1/28 (d) −8/11
  13. 13.What is the reciprocal (multiplicative inverse) of −3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  14. 14.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −4/32 (d) −1/8
  15. 15.Write −6/8 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −6/8
  16. 16.Write −12/32 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −12/32 (c) −3/8 (d) 3/8
  17. 17.Which is bigger: −1/6 or −4/9? (a) −4/9 (b) −1/6
  18. 18.What is (−2/3) − 3/4? (a) 1/12 (b) 17/12 (c) −5/7 (d) −17/12
  19. 19.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) 5/6 (d) −15/18
  20. 20.Is 7/(−6) positive or negative? (a) Positive (b) Negative
  21. 21.Is −7/(−9) positive or negative? (a) Positive (b) Negative
  22. 22.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −4/14 (b) −7/2 (c) −2/7 (d) 2/7
  23. 23.Which is smaller: −3/5 or −1/2? (a) −1/2 (b) −3/5
  24. 24.What is (−1/6) + 4/7? (a) 17/42 (b) −31/42 (c) 3/13 (d) −17/42
  25. 25.Which is smaller: −4/9 or −1/6? (a) −1/6 (b) −4/9
  26. 26.What is (−7/8) − (−3/7)? (a) −25/56 (b) 25/56 (c) −4/15 (d) −73/56
  27. 27.What is (−2/9) + 1/7? (a) 5/63 (b) −23/63 (c) −1/16 (d) −5/63
  28. 28.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −6/24 (d) −1/4
  29. 29.Write −18/30 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −18/30 (d) −3/5
  30. 30.What is (−2/7) − (−1/9)? (a) −1/16 (b) −25/63 (c) 11/63 (d) −11/63
  31. 31.What is (−1/5) + 4/5? (a) 3/10 (b) −1 (c) −3/5 (d) 3/5
  32. 32.What is the additive inverse of 1/4? (a) −4 (b) −1/4 (c) 1/4 (d) 4
  33. 33.Which is bigger: −1/4 or 2/3? (a) 2/3 (b) −1/4
  34. 34.Write −24/30 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) −24/30 (d) 4/5
  35. 35.What is the additive inverse of 1/8? (a) 8 (b) −8 (c) 1/8 (d) −1/8
  36. 36.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −1/7 or −1/4? (a) −1/7 (b) −1/4
  38. 38.What is 7/8 + (−1/4)? (a) −5/8 (b) 5/8 (c) 9/8 (d) 1/2
  39. 39.Is −8/3 positive or negative? (a) Negative (b) Positive
  40. 40.Is −6/5 positive or negative? (a) Positive (b) Negative

Answer key

  1. −2/9
  2. Negative
  3. −3/2
  4. −3/8
  5. −5/7
  6. −1/7
  7. −7/40
  8. Negative
  9. −11/56
  10. −31/72
  11. 67/56
  12. −41/28
  13. −8/3
  14. −1/8
  15. −3/4
  16. −3/8
  17. −1/6
  18. −17/12
  19. −5/6
  20. Negative
  21. Positive
  22. −2/7
  23. −3/5
  24. 17/42
  25. −4/9
  26. −25/56
  27. −5/63
  28. −1/4
  29. −3/5
  30. −11/63
  31. 3/5
  32. −1/4
  33. 2/3
  34. −4/5
  35. −1/8
  36. Negative
  37. −1/4
  38. 5/8
  39. Negative
  40. Negative

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