← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 942 · 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 (−1/7) − 4/5? (a) −33/35 (b) 33/35 (c) −5/12 (d) 23/35
  2. 2.What is the additive inverse of −2/3? (a) −3/2 (b) −2/3 (c) 3/2 (d) 2/3
  3. 3.What is the additive inverse of 3/8? (a) 3/8 (b) 8/3 (c) −8/3 (d) −3/8
  4. 4.Write −18/24 in standard form (lowest terms, positive denominator). (a) −4/3 (b) 3/4 (c) −3/4 (d) −18/24
  5. 5.What is the additive inverse of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  6. 6.What is (−1/2) − 5/6? (a) 4/3 (b) 1/3 (c) −4/3 (d) −3/4
  7. 7.What is (−4/7) − 2/3? (a) −3/5 (b) 26/21 (c) −26/21 (d) 2/21
  8. 8.What is 8/9 + (−1/5)? (a) 1/2 (b) 31/45 (c) −31/45 (d) 49/45
  9. 9.Which is smaller: −2/3 or 2/7? (a) −2/3 (b) 2/7
  10. 10.What is the additive inverse of −2/9? (a) −9/2 (b) −2/9 (c) 2/9 (d) 9/2
  11. 11.What is (−2/3) + 3/4? (a) −17/12 (b) −1/12 (c) 1/7 (d) 1/12
  12. 12.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) 3/8 (c) −3/8 (d) −8/3
  13. 13.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −6/10
  14. 14.What is 1/3 + (−1/7)? (a) 0 (b) 10/21 (c) −4/21 (d) 4/21
  15. 15.What is 1/8 + (−1/7)? (a) 15/56 (b) 1/56 (c) 0 (d) −1/56
  16. 16.Write −25/45 in standard form (lowest terms, positive denominator). (a) −25/45 (b) 5/9 (c) −5/9 (d) −9/5
  17. 17.What is (−3/8) − (−1/4)? (a) −1/8 (b) 1/8 (c) −1/6 (d) −5/8
  18. 18.What is the reciprocal (multiplicative inverse) of 2/3? (a) −2/3 (b) 2/3 (c) 3/2 (d) −3/2
  19. 19.Which is bigger: −4/5 or −3/4? (a) −3/4 (b) −4/5
  20. 20.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −6/14 (d) 3/7
  21. 21.What is the additive inverse of −3/7? (a) 7/3 (b) −3/7 (c) 3/7 (d) −7/3
  22. 22.What is the additive inverse of −1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  23. 23.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) −8/3 (c) 3/8 (d) 8/3
  24. 24.Is −8/3 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−6/7) − 1/4? (a) −7/11 (b) −17/28 (c) −31/28 (d) 31/28
  26. 26.Is −4/(−9) positive or negative? (a) Negative (b) Positive
  27. 27.What is (−8/9) − (−1/9)? (a) −7/9 (b) −7/18 (c) −1 (d) 7/9
  28. 28.Which is smaller: −7/8 or −2/9? (a) −2/9 (b) −7/8
  29. 29.What is (−4/7) − 4/5? (a) −48/35 (b) 48/35 (c) 8/35 (d) −2/3
  30. 30.What is (−4/9) − 4/5? (a) −4/7 (b) 16/45 (c) 56/45 (d) −56/45
  31. 31.Write −18/30 in standard form (lowest terms, positive denominator). (a) −18/30 (b) 3/5 (c) −5/3 (d) −3/5
  32. 32.What is the additive inverse of −5/7? (a) 7/5 (b) −5/7 (c) 5/7 (d) −7/5
  33. 33.What is (−1/4) + 7/9? (a) −19/36 (b) −37/36 (c) 6/13 (d) 19/36
  34. 34.What is (−1/7) + (−1/6)? (a) 1/42 (b) −2/13 (c) −13/42 (d) 13/42
  35. 35.Which is smaller: −4/5 or −2/9? (a) −2/9 (b) −4/5
  36. 36.Is 3/4 positive or negative? (a) Positive (b) Negative
  37. 37.What is the additive inverse of 1/7? (a) −7 (b) 1/7 (c) −1/7 (d) 7
  38. 38.What is (−2/7) + 1/4? (a) −1/11 (b) −1/28 (c) −15/28 (d) 1/28
  39. 39.What is 2/9 + (−5/7)? (a) 31/63 (b) −3/16 (c) 59/63 (d) −31/63
  40. 40.What is (−1/6) − 5/8? (a) −3/7 (b) −19/24 (c) 11/24 (d) 19/24

Answer key

  1. −33/35
  2. 2/3
  3. −3/8
  4. −3/4
  5. −1/3
  6. −4/3
  7. −26/21
  8. 31/45
  9. −2/3
  10. 2/9
  11. 1/12
  12. −3/8
  13. −3/5
  14. 4/21
  15. −1/56
  16. −5/9
  17. −1/8
  18. 3/2
  19. −3/4
  20. −3/7
  21. 3/7
  22. 1/4
  23. −8/3
  24. Negative
  25. −31/28
  26. Positive
  27. −7/9
  28. −7/8
  29. −48/35
  30. −56/45
  31. −3/5
  32. 5/7
  33. 19/36
  34. −13/42
  35. −4/5
  36. Positive
  37. −1/7
  38. −1/28
  39. −31/63
  40. −19/24

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