← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 947 · 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 the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  2. 2.Which is bigger: −1/3 or 1/6? (a) −1/3 (b) 1/6
  3. 3.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −5/6 (c) 5/6 (d) −6/5
  4. 4.Which is bigger: −1/6 or −5/8? (a) −5/8 (b) −1/6
  5. 5.What is the additive inverse of −1/2? (a) 2 (b) −2 (c) −1/2 (d) 1/2
  6. 6.Write 10/(−18) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −9/5 (d) −10/18
  7. 7.Is 9/4 positive or negative? (a) Negative (b) Positive
  8. 8.Which is bigger: −1/2 or 2/5? (a) −1/2 (b) 2/5
  9. 9.Which is bigger: −1/9 or 2/9? (a) 2/9 (b) −1/9
  10. 10.Which is smaller: −4/9 or 1/3? (a) −4/9 (b) 1/3
  11. 11.Which is bigger: −4/9 or 4/5? (a) 4/5 (b) −4/9
  12. 12.Which is bigger: −4/9 or 7/8? (a) −4/9 (b) 7/8
  13. 13.What is (−4/9) + 3/5? (a) 7/45 (b) −1/14 (c) −7/45 (d) −47/45
  14. 14.What is (−1/2) − (−2/5)? (a) 1/7 (b) −1/10 (c) −9/10 (d) 1/10
  15. 15.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 5/6 (c) −6/5 (d) 6/5
  16. 16.Write −6/14 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −6/14 (c) 3/7 (d) −3/7
  17. 17.Is −7/(−5) positive or negative? (a) Positive (b) Negative
  18. 18.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  19. 19.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) −1/7 (c) 1/7 (d) −7/1
  20. 20.Which is bigger: −1/8 or −4/9? (a) −1/8 (b) −4/9
  21. 21.Which is bigger: −3/8 or 5/7? (a) 5/7 (b) −3/8
  22. 22.Is −5/(−8) positive or negative? (a) Positive (b) Negative
  23. 23.Is 4/7 positive or negative? (a) Negative (b) Positive
  24. 24.Is 3/6 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−4/9) + 1/4? (a) −3/13 (b) −7/36 (c) −25/36 (d) 7/36
  26. 26.What is the reciprocal (multiplicative inverse) of −2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  27. 27.What is 5/7 + (−3/4)? (a) 2/11 (b) 1/28 (c) 41/28 (d) −1/28
  28. 28.What is the additive inverse of 1/9? (a) 9 (b) 1/9 (c) −9 (d) −1/9
  29. 29.What is 5/9 + (−2/7)? (a) 53/63 (b) −17/63 (c) 3/16 (d) 17/63
  30. 30.Which is smaller: −3/5 or 3/7? (a) 3/7 (b) −3/5
  31. 31.What is (−5/8) − 7/8? (a) 3/2 (b) 1/4 (c) −3/2 (d) −3/4
  32. 32.Which is bigger: −8/9 or −1/2? (a) −1/2 (b) −8/9
  33. 33.Write −25/40 in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) −25/40 (d) 5/8
  34. 34.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −6/12 (b) −1/2 (c) −2/1 (d) 1/2
  35. 35.Is −2/(−9) positive or negative? (a) Positive (b) Negative
  36. 36.What is 1/5 − (−1/9)? (a) 1/7 (b) 4/45 (c) −14/45 (d) 14/45
  37. 37.Which is bigger: −3/8 or 5/9? (a) 5/9 (b) −3/8
  38. 38.Is 4/(−6) positive or negative? (a) Negative (b) Positive
  39. 39.What is 1/2 + (−2/7)? (a) −1/9 (b) 11/14 (c) 3/14 (d) −3/14
  40. 40.Which is bigger: −5/8 or −4/9? (a) −4/9 (b) −5/8

Answer key

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

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