← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 670 · 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 −4/24 in standard form (lowest terms, positive denominator). (a) −4/24 (b) −1/6 (c) 1/6 (d) −6/1
  2. 2.Which is bigger: −5/8 or 1/7? (a) −5/8 (b) 1/7
  3. 3.What is 7/9 + (−7/8)? (a) 0 (b) 119/72 (c) 7/72 (d) −7/72
  4. 4.What is the additive inverse of −4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  5. 5.What is (−7/8) − 1/6? (a) 25/24 (b) −17/24 (c) −25/24 (d) −4/7
  6. 6.Which is smaller: −5/9 or −1/5? (a) −5/9 (b) −1/5
  7. 7.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −1/4 (c) −4/1 (d) −6/24
  8. 8.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −10/14
  9. 9.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −15/24 (c) −5/8 (d) 5/8
  10. 10.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −4/10 (c) −2/5 (d) −5/2
  11. 11.What is 1/8 − (−1/4)? (a) −3/8 (b) −1/8 (c) 1/6 (d) 3/8
  12. 12.Write −2/4 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/4 (c) 1/2 (d) −2/1
  13. 13.Which is smaller: −1/4 or −4/7? (a) −1/4 (b) −4/7
  14. 14.What is (−1/7) − (−2/5)? (a) −9/35 (b) −19/35 (c) 9/35 (d) 1/12
  15. 15.Which is smaller: −3/5 or −7/8? (a) −7/8 (b) −3/5
  16. 16.Is 6/4 positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −2/5 or 5/7? (a) −2/5 (b) 5/7
  18. 18.Write −8/18 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −8/18 (c) −4/9 (d) −9/4
  19. 19.What is the reciprocal (multiplicative inverse) of 4/9? (a) −9/4 (b) 9/4 (c) −4/9 (d) 4/9
  20. 20.Is 9/6 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−1/3) + (−3/4)? (a) −13/12 (b) 13/12 (c) −4/7 (d) 5/12
  22. 22.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  23. 23.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −36/42 (c) −6/7 (d) 6/7
  24. 24.What is the additive inverse of −3/7? (a) −7/3 (b) 7/3 (c) −3/7 (d) 3/7
  25. 25.What is (−1/4) − 5/8? (a) 7/8 (b) 3/8 (c) −7/8 (d) −1/2
  26. 26.Which is bigger: −6/7 or −1/5? (a) −6/7 (b) −1/5
  27. 27.What is (−2/5) − 2/3? (a) 16/15 (b) −1/2 (c) −16/15 (d) 4/15
  28. 28.What is 8/9 − (−1/9)? (a) −1 (b) 7/9 (c) 1/2 (d) 1
  29. 29.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −6 (c) −1/6 (d) 1/6
  30. 30.What is 7/9 + (−2/7)? (a) −31/63 (b) 67/63 (c) 31/63 (d) 5/16
  31. 31.What is (−3/7) + 5/7? (a) −2/7 (b) −8/7 (c) 2/7 (d) 1/7
  32. 32.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −8/9 (d) −9/8
  33. 33.What is (−7/9) − (−3/5)? (a) −8/45 (b) 8/45 (c) −62/45 (d) −2/7
  34. 34.What is 3/5 + (−5/7)? (a) 46/35 (b) 4/35 (c) −4/35 (d) −1/6
  35. 35.What is 7/9 + (−4/7)? (a) −13/63 (b) 13/63 (c) 85/63 (d) 3/16
  36. 36.What is 3/5 − (−4/5)? (a) −7/5 (b) 7/10 (c) 7/5 (d) −1/5
  37. 37.What is 4/9 + (−1/3)? (a) 7/9 (b) −1/9 (c) 1/9 (d) 1/4
  38. 38.What is the additive inverse of 2/5? (a) 5/2 (b) 2/5 (c) −5/2 (d) −2/5
  39. 39.Is 4/8 positive or negative? (a) Negative (b) Positive
  40. 40.Which is bigger: −5/7 or −5/6? (a) −5/7 (b) −5/6

Answer key

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

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