← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 118 · 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 (−7/8) + (−5/8)? (a) 3/2 (b) −3/2 (c) −3/4 (d) −1/4
  2. 2.Is −4/5 positive or negative? (a) Negative (b) Positive
  3. 3.Which is bigger: −2/5 or −7/9? (a) −7/9 (b) −2/5
  4. 4.What is (−3/8) − 5/8? (a) 1 (b) 1/4 (c) −1 (d) −1/2
  5. 5.Which is smaller: −2/7 or −5/8? (a) −2/7 (b) −5/8
  6. 6.What is the reciprocal (multiplicative inverse) of 7/9? (a) 9/7 (b) −9/7 (c) −7/9 (d) 7/9
  7. 7.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −8/7 (d) −35/40
  8. 8.What is (−3/7) − 8/9? (a) 29/63 (b) 83/63 (c) −83/63 (d) −11/16
  9. 9.What is 2/5 + (−3/4)? (a) 7/20 (b) 23/20 (c) −1/9 (d) −7/20
  10. 10.What is the additive inverse of −5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  11. 11.Write −15/25 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −15/25 (c) 3/5 (d) −5/3
  12. 12.Which is bigger: −3/5 or −6/7? (a) −3/5 (b) −6/7
  13. 13.Which is smaller: −3/7 or 7/9? (a) 7/9 (b) −3/7
  14. 14.Is −5/4 positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) 3/2 (c) −3/2 (d) −2/3
  16. 16.What is (−4/5) − 2/5? (a) −6/5 (b) −2/5 (c) 6/5 (d) −3/5
  17. 17.What is (−4/9) + (−1/9)? (a) 5/9 (b) −1/3 (c) −5/18 (d) −5/9
  18. 18.What is the additive inverse of −1/8? (a) −8 (b) 1/8 (c) −1/8 (d) 8
  19. 19.Which is bigger: −3/4 or 1/3? (a) −3/4 (b) 1/3
  20. 20.What is (−3/7) + (−2/5)? (a) 29/35 (b) −1/35 (c) −5/12 (d) −29/35
  21. 21.Is 6/7 positive or negative? (a) Negative (b) Positive
  22. 22.Which is bigger: −4/7 or −7/9? (a) −7/9 (b) −4/7
  23. 23.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −10/16 (d) −8/5
  24. 24.Which is bigger: −3/5 or −5/6? (a) −3/5 (b) −5/6
  25. 25.Is 8/(−2) positive or negative? (a) Positive (b) Negative
  26. 26.Which is smaller: −6/7 or −3/5? (a) −6/7 (b) −3/5
  27. 27.Is 2/(−6) positive or negative? (a) Positive (b) Negative
  28. 28.Is 9/9 positive or negative? (a) Positive (b) Negative
  29. 29.Which is bigger: −2/3 or −3/5? (a) −2/3 (b) −3/5
  30. 30.What is (−3/5) + 5/9? (a) 1/7 (b) −2/45 (c) −52/45 (d) 2/45
  31. 31.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  32. 32.Which is bigger: −2/3 or −4/7? (a) −4/7 (b) −2/3
  33. 33.Which is bigger: −5/8 or −3/5? (a) −5/8 (b) −3/5
  34. 34.Write −8/18 in standard form (lowest terms, positive denominator). (a) −9/4 (b) 4/9 (c) −4/9 (d) −8/18
  35. 35.Is −8/(−6) positive or negative? (a) Negative (b) Positive
  36. 36.What is 1/3 + (−4/7)? (a) −5/21 (b) 19/21 (c) −3/10 (d) 5/21
  37. 37.What is the reciprocal (multiplicative inverse) of 3/7? (a) 7/3 (b) −3/7 (c) −7/3 (d) 3/7
  38. 38.Which is smaller: −4/7 or −1/4? (a) −1/4 (b) −4/7
  39. 39.Which is smaller: −2/3 or −5/7? (a) −5/7 (b) −2/3
  40. 40.Which is smaller: −1/4 or 1/2? (a) 1/2 (b) −1/4

Answer key

  1. −3/2
  2. Negative
  3. −2/5
  4. −1
  5. −5/8
  6. 9/7
  7. −7/8
  8. −83/63
  9. −7/20
  10. 5/9
  11. −3/5
  12. −3/5
  13. −3/7
  14. Negative
  15. 3/2
  16. −6/5
  17. −5/9
  18. 1/8
  19. 1/3
  20. −29/35
  21. Positive
  22. −4/7
  23. −5/8
  24. −3/5
  25. Negative
  26. −6/7
  27. Negative
  28. Positive
  29. −3/5
  30. −2/45
  31. Positive
  32. −4/7
  33. −3/5
  34. −4/9
  35. Positive
  36. −5/21
  37. 7/3
  38. −4/7
  39. −5/7
  40. −1/4

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