← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 222 · 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: −4/5 or 1/9? (a) −4/5 (b) 1/9
  2. 2.What is (−3/4) − 1/9? (a) −31/36 (b) 31/36 (c) −23/36 (d) −4/13
  3. 3.Is 9/9 positive or negative? (a) Positive (b) Negative
  4. 4.Write −5/25 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −5/25
  5. 5.What is (−4/9) + 1/2? (a) −3/11 (b) −17/18 (c) 1/18 (d) −1/18
  6. 6.Which is smaller: −3/8 or −1/5? (a) −1/5 (b) −3/8
  7. 7.What is (−1/6) − 6/7? (a) 29/42 (b) 43/42 (c) −43/42 (d) −7/13
  8. 8.What is 5/9 + (−7/8)? (a) 23/72 (b) −2/17 (c) 103/72 (d) −23/72
  9. 9.Write −10/16 in standard form (lowest terms, positive denominator). (a) −10/16 (b) 5/8 (c) −8/5 (d) −5/8
  10. 10.Write −3/15 in standard form (lowest terms, positive denominator). (a) −1/5 (b) −3/15 (c) 1/5 (d) −5/1
  11. 11.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −10/15 (d) 2/3
  12. 12.What is (−3/5) + 3/4? (a) 0 (b) −3/20 (c) 3/20 (d) −27/20
  13. 13.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −6/10 (d) 3/5
  14. 14.What is (−3/8) − 3/5? (a) −39/40 (b) −6/13 (c) 9/40 (d) 39/40
  15. 15.What is (−1/6) + 6/7? (a) 5/13 (b) 29/42 (c) −43/42 (d) −29/42
  16. 16.Which is smaller: −3/8 or −3/4? (a) −3/8 (b) −3/4
  17. 17.Is 1/4 positive or negative? (a) Positive (b) Negative
  18. 18.Which is bigger: −1/5 or −1/7? (a) −1/7 (b) −1/5
  19. 19.Is 8/2 positive or negative? (a) Positive (b) Negative
  20. 20.Write −2/8 in standard form (lowest terms, positive denominator). (a) −2/8 (b) −4/1 (c) −1/4 (d) 1/4
  21. 21.What is 8/9 − (−1/6)? (a) 19/18 (b) −19/18 (c) 3/5 (d) 13/18
  22. 22.What is (−2/9) + (−2/5)? (a) −28/45 (b) 8/45 (c) −2/7 (d) 28/45
  23. 23.What is the reciprocal (multiplicative inverse) of 3/8? (a) 8/3 (b) 3/8 (c) −3/8 (d) −8/3
  24. 24.What is (−1/2) − (−3/7)? (a) 2/9 (b) −1/14 (c) −13/14 (d) 1/14
  25. 25.What is (−3/4) + 6/7? (a) 3/28 (b) −3/28 (c) −45/28 (d) 3/11
  26. 26.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −6/8 (c) −4/3 (d) −3/4
  27. 27.What is 2/9 − (−4/9)? (a) 2/3 (b) −2/9 (c) −2/3 (d) 1/3
  28. 28.Which is bigger: −2/3 or −3/5? (a) −3/5 (b) −2/3
  29. 29.What is (−1/3) − 1/5? (a) 8/15 (b) −2/15 (c) −1/4 (d) −8/15
  30. 30.Which is bigger: −1/3 or 1/2? (a) −1/3 (b) 1/2
  31. 31.Which is bigger: −1/2 or −1/6? (a) −1/6 (b) −1/2
  32. 32.What is (−2/3) + (−1/6)? (a) 5/6 (b) −5/6 (c) −1/2 (d) −1/3
  33. 33.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −1/8 (b) −8/1 (c) −6/48 (d) 1/8
  34. 34.What is (−2/9) + 2/9? (a) 0 (b) −4/9
  35. 35.Is −5/4 positive or negative? (a) Positive (b) Negative
  36. 36.Which is bigger: −3/5 or 2/7? (a) −3/5 (b) 2/7
  37. 37.Which is smaller: −1/2 or −4/5? (a) −4/5 (b) −1/2
  38. 38.What is (−1/3) + 2/3? (a) −1 (b) 1/6 (c) 1/3 (d) −1/3
  39. 39.Write −3/9 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −3/9 (c) −1/3 (d) 1/3
  40. 40.What is (−4/9) − 2/7? (a) −3/8 (b) −10/63 (c) 46/63 (d) −46/63

Answer key

  1. 1/9
  2. −31/36
  3. Positive
  4. −1/5
  5. 1/18
  6. −3/8
  7. −43/42
  8. −23/72
  9. −5/8
  10. −1/5
  11. −2/3
  12. 3/20
  13. −3/5
  14. −39/40
  15. 29/42
  16. −3/4
  17. Positive
  18. −1/7
  19. Positive
  20. −1/4
  21. 19/18
  22. −28/45
  23. 8/3
  24. −1/14
  25. 3/28
  26. −3/4
  27. 2/3
  28. −3/5
  29. −8/15
  30. 1/2
  31. −1/6
  32. −5/6
  33. −1/8
  34. 0
  35. Negative
  36. 2/7
  37. −4/5
  38. 1/3
  39. −1/3
  40. −46/63

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