← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 131 · 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 (−1/2) − 3/8? (a) −2/5 (b) −1/8 (c) 7/8 (d) −7/8
  2. 2.Which is smaller: −1/7 or 6/7? (a) −1/7 (b) 6/7
  3. 3.What is the reciprocal (multiplicative inverse) of −1/9? (a) −1/9 (b) 9 (c) −9 (d) 1/9
  4. 4.Which is bigger: −1/2 or −4/5? (a) −4/5 (b) −1/2
  5. 5.Which is bigger: −2/9 or −4/5? (a) −2/9 (b) −4/5
  6. 6.Write −4/8 in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −4/8 (d) 1/2
  7. 7.What is (−1/3) + 1/2? (a) −1/6 (b) −5/6 (c) 0 (d) 1/6
  8. 8.Write −12/20 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −3/5 (c) −5/3 (d) −12/20
  9. 9.What is the additive inverse of 1/5? (a) −5 (b) −1/5 (c) 5 (d) 1/5
  10. 10.What is (−1/6) − (−4/7)? (a) −31/42 (b) −17/42 (c) 17/42 (d) 3/13
  11. 11.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) −2/9 (c) −9/2 (d) 2/9
  12. 12.Write −8/14 in standard form (lowest terms, positive denominator). (a) −8/14 (b) −7/4 (c) 4/7 (d) −4/7
  13. 13.Which is smaller: −1/3 or −7/9? (a) −7/9 (b) −1/3
  14. 14.What is (−3/7) + 3/5? (a) −6/35 (b) −36/35 (c) 0 (d) 6/35
  15. 15.What is 7/9 − (−2/3)? (a) 1/9 (b) 13/9 (c) −13/9 (d) 3/4
  16. 16.Is −1/6 positive or negative? (a) Negative (b) Positive
  17. 17.What is 5/7 − (−1/7)? (a) 6/7 (b) 3/7 (c) −6/7 (d) 4/7
  18. 18.Which is smaller: −2/5 or −6/7? (a) −6/7 (b) −2/5
  19. 19.What is (−1/2) + (−3/7)? (a) −4/9 (b) 13/14 (c) −13/14 (d) −1/14
  20. 20.What is the additive inverse of −2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  21. 21.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  22. 22.Which is smaller: −1/2 or 1/7? (a) 1/7 (b) −1/2
  23. 23.What is the additive inverse of 2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  24. 24.Is 4/2 positive or negative? (a) Negative (b) Positive
  25. 25.What is (−5/7) + (−2/5)? (a) 39/35 (b) −39/35 (c) −7/12 (d) −11/35
  26. 26.Which is smaller: −3/5 or −2/9? (a) −3/5 (b) −2/9
  27. 27.Which is bigger: −3/8 or 1/7? (a) 1/7 (b) −3/8
  28. 28.What is 2/3 − (−7/8)? (a) 9/11 (b) −37/24 (c) −5/24 (d) 37/24
  29. 29.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −3/7 (d) −12/28
  30. 30.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −3 (c) 1/3 (d) −1/3
  31. 31.What is 7/8 − (−2/3)? (a) −37/24 (b) 9/11 (c) 5/24 (d) 37/24
  32. 32.What is (−2/3) + 4/5? (a) 1/4 (b) −22/15 (c) 2/15 (d) −2/15
  33. 33.What is 1/2 − (−1/5)? (a) 7/10 (b) 2/7 (c) 3/10 (d) −7/10
  34. 34.Which is smaller: −3/7 or 8/9? (a) −3/7 (b) 8/9
  35. 35.Is 8/3 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−6/7) − (−8/9)? (a) −110/63 (b) 2/63 (c) 1/8 (d) −2/63
  37. 37.What is (−7/9) − 6/7? (a) −103/63 (b) −13/16 (c) 5/63 (d) 103/63
  38. 38.What is 3/5 + (−7/8)? (a) 59/40 (b) −4/13 (c) −11/40 (d) 11/40
  39. 39.Which is bigger: −3/7 or −1/5? (a) −3/7 (b) −1/5
  40. 40.Is 2/5 positive or negative? (a) Negative (b) Positive

Answer key

  1. −7/8
  2. −1/7
  3. −9
  4. −1/2
  5. −2/9
  6. −1/2
  7. 1/6
  8. −3/5
  9. −1/5
  10. 17/42
  11. −2/9
  12. −4/7
  13. −7/9
  14. 6/35
  15. 13/9
  16. Negative
  17. 6/7
  18. −6/7
  19. −13/14
  20. 2/5
  21. 7/4
  22. −1/2
  23. −2/3
  24. Positive
  25. −39/35
  26. −3/5
  27. 1/7
  28. 37/24
  29. −3/7
  30. 3
  31. 37/24
  32. 2/15
  33. 7/10
  34. −3/7
  35. Positive
  36. 2/63
  37. −103/63
  38. −11/40
  39. −1/5
  40. Positive

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