← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 462 · 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 2/9 − (−4/5)? (a) −46/45 (b) 46/45 (c) −26/45 (d) 3/7
  2. 2.What is 1/5 + (−1/4)? (a) −1/20 (b) 9/20 (c) 1/20 (d) 0
  3. 3.Write −12/42 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −12/42 (d) −2/7
  4. 4.What is the additive inverse of −3/7? (a) 3/7 (b) −7/3 (c) 7/3 (d) −3/7
  5. 5.What is (−1/3) − (−6/7)? (a) 11/21 (b) 1/2 (c) −25/21 (d) −11/21
  6. 6.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  7. 7.What is (−1/4) + 3/5? (a) 7/20 (b) 2/9 (c) −7/20 (d) −17/20
  8. 8.Is −9/5 positive or negative? (a) Positive (b) Negative
  9. 9.Write −15/18 in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) 5/6 (d) −15/18
  10. 10.What is 3/7 − (−5/7)? (a) 4/7 (b) −8/7 (c) 8/7 (d) −2/7
  11. 11.Which is smaller: −1/6 or −8/9? (a) −1/6 (b) −8/9
  12. 12.What is (−7/9) − 1/3? (a) −10/9 (b) 10/9 (c) −2/3 (d) −4/9
  13. 13.What is (−5/6) − 5/8? (a) 35/24 (b) −35/24 (c) −5/24 (d) −5/7
  14. 14.What is 3/8 + (−1/6)? (a) 1/7 (b) 13/24 (c) −5/24 (d) 5/24
  15. 15.Which is smaller: −5/6 or 2/9? (a) −5/6 (b) 2/9
  16. 16.Which is smaller: −5/8 or 1/3? (a) −5/8 (b) 1/3
  17. 17.What is (−3/7) + (−1/8)? (a) 31/56 (b) −4/15 (c) −31/56 (d) −17/56
  18. 18.What is 4/9 + (−1/7)? (a) 37/63 (b) 19/63 (c) −19/63 (d) 3/16
  19. 19.What is (−5/7) − (−1/3)? (a) −2/5 (b) 8/21 (c) −8/21 (d) −22/21
  20. 20.Is 7/6 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−1/4) − 2/7? (a) 1/28 (b) 15/28 (c) −15/28 (d) −3/11
  22. 22.Which is smaller: −5/6 or 1/9? (a) 1/9 (b) −5/6
  23. 23.Which is bigger: −6/7 or −4/5? (a) −6/7 (b) −4/5
  24. 24.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  25. 25.Is −2/5 positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −3/7 or −3/8? (a) −3/7 (b) −3/8
  27. 27.What is the additive inverse of 5/7? (a) 7/5 (b) −5/7 (c) −7/5 (d) 5/7
  28. 28.What is 2/5 + (−2/9)? (a) 28/45 (b) 0 (c) −8/45 (d) 8/45
  29. 29.What is (−3/5) + 1/6? (a) −2/11 (b) −13/30 (c) 13/30 (d) −23/30
  30. 30.Which is bigger: −2/3 or −5/8? (a) −5/8 (b) −2/3
  31. 31.Write −9/12 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −9/12 (d) −4/3
  32. 32.Is 3/(−6) positive or negative? (a) Negative (b) Positive
  33. 33.What is 1/4 − (−6/7)? (a) 7/11 (b) −31/28 (c) −17/28 (d) 31/28
  34. 34.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  35. 35.What is 3/8 + (−1/4)? (a) −1/8 (b) 1/6 (c) 1/8 (d) 5/8
  36. 36.Is 7/(−8) positive or negative? (a) Positive (b) Negative
  37. 37.Write −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −30/48 (d) −8/5
  38. 38.What is (−1/2) + 7/9? (a) −5/18 (b) −23/18 (c) 6/11 (d) 5/18
  39. 39.What is (−2/9) + 2/5? (a) −28/45 (b) 0 (c) 8/45 (d) −8/45
  40. 40.What is 1/8 − (−2/7)? (a) −9/56 (b) −23/56 (c) 23/56 (d) 1/5

Answer key

  1. 46/45
  2. −1/20
  3. −2/7
  4. 3/7
  5. 11/21
  6. Negative
  7. 7/20
  8. Negative
  9. −5/6
  10. 8/7
  11. −8/9
  12. −10/9
  13. −35/24
  14. 5/24
  15. −5/6
  16. −5/8
  17. −31/56
  18. 19/63
  19. −8/21
  20. Positive
  21. −15/28
  22. −5/6
  23. −4/5
  24. −2
  25. Negative
  26. −3/7
  27. −5/7
  28. 8/45
  29. −13/30
  30. −5/8
  31. −3/4
  32. Negative
  33. 31/28
  34. Positive
  35. 1/8
  36. Negative
  37. −5/8
  38. 5/18
  39. 8/45
  40. 23/56

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