← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 469 · 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 1/8 − (−2/3)? (a) 3/11 (b) 19/24 (c) −19/24 (d) −13/24
  2. 2.What is (−5/7) + (−3/4)? (a) 41/28 (b) −8/11 (c) −41/28 (d) 1/28
  3. 3.What is (−1/6) − (−5/8)? (a) −11/24 (b) −19/24 (c) 11/24 (d) 2/7
  4. 4.What is (−4/7) − 4/5? (a) 8/35 (b) −2/3 (c) −48/35 (d) 48/35
  5. 5.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) −16/18 (d) 8/9
  6. 6.What is (−5/8) − (−2/7)? (a) −1/5 (b) 19/56 (c) −51/56 (d) −19/56
  7. 7.What is 3/8 − (−3/5)? (a) −39/40 (b) 39/40 (c) −9/40 (d) 6/13
  8. 8.What is (−3/5) + 2/3? (a) −1/8 (b) −19/15 (c) −1/15 (d) 1/15
  9. 9.Which is smaller: −1/4 or −3/5? (a) −3/5 (b) −1/4
  10. 10.What is (−1/2) − (−5/6)? (a) −1/3 (b) 1/2 (c) −4/3 (d) 1/3
  11. 11.Which is smaller: −1/4 or −6/7? (a) −6/7 (b) −1/4
  12. 12.What is (−1/3) + (−3/7)? (a) 2/21 (b) −16/21 (c) −2/5 (d) 16/21
  13. 13.What is (−3/4) + (−6/7)? (a) 45/28 (b) −45/28 (c) −9/11 (d) 3/28
  14. 14.Which is bigger: −3/7 or −5/7? (a) −3/7 (b) −5/7
  15. 15.Which is smaller: −3/4 or 3/5? (a) −3/4 (b) 3/5
  16. 16.Which is smaller: −2/7 or −1/5? (a) −2/7 (b) −1/5
  17. 17.What is 1/4 + (−6/7)? (a) 31/28 (b) −5/11 (c) −17/28 (d) 17/28
  18. 18.Which is bigger: −3/5 or 5/8? (a) −3/5 (b) 5/8
  19. 19.What is (−5/7) + 1/4? (a) −4/11 (b) −13/28 (c) 13/28 (d) −27/28
  20. 20.What is (−7/9) + 5/8? (a) −101/72 (b) −2/17 (c) −11/72 (d) 11/72
  21. 21.What is 3/5 + (−2/5)? (a) 1/10 (b) −1/5 (c) 1/5 (d) 1
  22. 22.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  23. 23.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) 6/7 (c) −6/7 (d) 7/6
  24. 24.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −30/48 (d) 5/8
  25. 25.Write 20/(−45) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) −20/45 (d) 4/9
  26. 26.What is 1/3 − (−8/9)? (a) 3/4 (b) −11/9 (c) −5/9 (d) 11/9
  27. 27.Which is smaller: −1/3 or 1/7? (a) −1/3 (b) 1/7
  28. 28.What is 1/5 − (−1/3)? (a) −2/15 (b) −8/15 (c) 1/4 (d) 8/15
  29. 29.What is the additive inverse of −5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  30. 30.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  31. 31.What is (−3/4) − 2/5? (a) −5/9 (b) −23/20 (c) −7/20 (d) 23/20
  32. 32.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  33. 33.Which is smaller: −5/6 or 5/7? (a) −5/6 (b) 5/7
  34. 34.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −12/18 (c) 2/3 (d) −2/3
  35. 35.Is 5/(−2) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−5/9) − (−1/9)? (a) −2/9 (b) −4/9 (c) −2/3 (d) 4/9
  37. 37.What is the additive inverse of 1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  38. 38.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  39. 39.What is (−1/6) + (−1/2)? (a) 2/3 (b) 1/3 (c) −2/3 (d) −1/4
  40. 40.What is the additive inverse of −1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5

Answer key

  1. 19/24
  2. −41/28
  3. 11/24
  4. −48/35
  5. −8/9
  6. −19/56
  7. 39/40
  8. 1/15
  9. −3/5
  10. 1/3
  11. −6/7
  12. −16/21
  13. −45/28
  14. −3/7
  15. −3/4
  16. −2/7
  17. −17/28
  18. 5/8
  19. −13/28
  20. −11/72
  21. 1/5
  22. Positive
  23. 7/6
  24. −5/8
  25. −4/9
  26. 11/9
  27. −1/3
  28. 8/15
  29. 5/8
  30. −3
  31. −23/20
  32. Negative
  33. −5/6
  34. −2/3
  35. Negative
  36. −4/9
  37. −1/4
  38. Positive
  39. −2/3
  40. 1/5

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