← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 497 · 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.Which is bigger: −1/6 or −2/3? (a) −1/6 (b) −2/3
  2. 2.What is the additive inverse of −3/7? (a) −3/7 (b) 3/7 (c) 7/3 (d) −7/3
  3. 3.What is (−3/4) + 1/8? (a) −5/8 (b) −1/6 (c) −7/8 (d) 5/8
  4. 4.What is (−1/5) − (−2/3)? (a) −13/15 (b) 7/15 (c) −7/15 (d) 1/8
  5. 5.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −12/42 (c) −2/7 (d) −7/2
  6. 6.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  7. 7.Write 20/(−32) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −20/32 (d) −5/8
  8. 8.Which is smaller: −1/5 or −6/7? (a) −1/5 (b) −6/7
  9. 9.Write 25/(−45) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −25/45 (d) −5/9
  10. 10.What is 5/8 − (−4/7)? (a) 3/56 (b) 3/5 (c) 67/56 (d) −67/56
  11. 11.Write −15/40 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −15/40 (c) 3/8 (d) −8/3
  12. 12.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −15/27 (b) 5/9 (c) −9/5 (d) −5/9
  13. 13.Which is smaller: −8/9 or 3/5? (a) 3/5 (b) −8/9
  14. 14.What is the additive inverse of 1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  15. 15.What is (−7/9) + 3/7? (a) 22/63 (b) −76/63 (c) −22/63 (d) −1/4
  16. 16.Is 9/(−4) positive or negative? (a) Negative (b) Positive
  17. 17.Write −12/18 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −12/18 (c) 2/3 (d) −3/2
  18. 18.What is (−7/8) + 6/7? (a) −1/15 (b) −97/56 (c) −1/56 (d) 1/56
  19. 19.Is −6/(−2) positive or negative? (a) Positive (b) Negative
  20. 20.Is 2/9 positive or negative? (a) Positive (b) Negative
  21. 21.What is the reciprocal (multiplicative inverse) of −2/9? (a) 9/2 (b) −9/2 (c) −2/9 (d) 2/9
  22. 22.Write −14/18 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −14/18 (c) −7/9 (d) −9/7
  23. 23.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  24. 24.Is −8/(−4) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−1/6) + (−3/8)? (a) 13/24 (b) −13/24 (c) −2/7 (d) 5/24
  26. 26.Which is smaller: −6/7 or 1/9? (a) 1/9 (b) −6/7
  27. 27.What is (−1/2) + 1/5? (a) 3/10 (b) −3/10 (c) 0 (d) −7/10
  28. 28.Is 3/(−3) positive or negative? (a) Positive (b) Negative
  29. 29.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) −2/9 (d) 2/9
  30. 30.What is (−2/3) − (−4/5)? (a) −22/15 (b) 2/15 (c) 1/4 (d) −2/15
  31. 31.What is 1/7 + (−1/5)? (a) 12/35 (b) 2/35 (c) −2/35 (d) 0
  32. 32.Which is bigger: −5/7 or 1/3? (a) −5/7 (b) 1/3
  33. 33.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  34. 34.Is 3/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−2/9) + (−4/5)? (a) 26/45 (b) −46/45 (c) 46/45 (d) −3/7
  36. 36.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  37. 37.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) −8/9 (c) 8/9 (d) −9/8
  38. 38.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −9/24 (c) 3/8 (d) −8/3
  39. 39.What is the reciprocal (multiplicative inverse) of −1/3? (a) −3 (b) 1/3 (c) 3 (d) −1/3
  40. 40.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −3/5 (c) −5/3 (d) 3/5

Answer key

  1. −1/6
  2. 3/7
  3. −5/8
  4. 7/15
  5. −2/7
  6. Positive
  7. −5/8
  8. −6/7
  9. −5/9
  10. 67/56
  11. −3/8
  12. −5/9
  13. −8/9
  14. −1/3
  15. −22/63
  16. Negative
  17. −2/3
  18. −1/56
  19. Positive
  20. Positive
  21. −9/2
  22. −7/9
  23. Positive
  24. Positive
  25. −13/24
  26. −6/7
  27. −3/10
  28. Negative
  29. 2/9
  30. 2/15
  31. −2/35
  32. 1/3
  33. Negative
  34. Negative
  35. −46/45
  36. −3/8
  37. 9/8
  38. −3/8
  39. −3
  40. 5/3

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