← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 577 · 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: −1/9 or 3/7? (a) −1/9 (b) 3/7
  2. 2.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −1/5 (d) −5/25
  3. 3.Write −8/36 in standard form (lowest terms, positive denominator). (a) −8/36 (b) −9/2 (c) −2/9 (d) 2/9
  4. 4.What is the additive inverse of −6/7? (a) −6/7 (b) −7/6 (c) 6/7 (d) 7/6
  5. 5.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) −6/18 (d) 1/3
  6. 6.What is (−2/3) − (−2/5)? (a) 0 (b) 4/15 (c) −4/15 (d) −16/15
  7. 7.Write −20/32 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −20/32 (d) −8/5
  8. 8.Is 5/9 positive or negative? (a) Negative (b) Positive
  9. 9.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  10. 10.Which is smaller: −4/5 or −2/9? (a) −4/5 (b) −2/9
  11. 11.Write −12/18 in standard form (lowest terms, positive denominator). (a) −12/18 (b) −2/3 (c) 2/3 (d) −3/2
  12. 12.What is (−5/9) + (−5/7)? (a) 80/63 (b) 10/63 (c) −5/8 (d) −80/63
  13. 13.Which is bigger: −3/7 or −1/7? (a) −1/7 (b) −3/7
  14. 14.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −5/8 (c) −25/40 (d) −8/5
  15. 15.What is (−2/5) − (−3/7)? (a) −29/35 (b) 1/12 (c) 1/35 (d) −1/35
  16. 16.What is 1/5 + (−2/5)? (a) 1/5 (b) −1/5 (c) 3/5 (d) −1/10
  17. 17.Which is smaller: −6/7 or 1/8? (a) −6/7 (b) 1/8
  18. 18.Which is bigger: −5/8 or −2/7? (a) −2/7 (b) −5/8
  19. 19.Is −9/9 positive or negative? (a) Negative (b) Positive
  20. 20.What is (−4/9) + (−5/7)? (a) 17/63 (b) −73/63 (c) −9/16 (d) 73/63
  21. 21.What is the additive inverse of −1/2? (a) −2 (b) −1/2 (c) 1/2 (d) 2
  22. 22.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  23. 23.Which is bigger: −8/9 or −1/2? (a) −8/9 (b) −1/2
  24. 24.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −32/36 (d) −8/9
  25. 25.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  26. 26.Is 6/9 positive or negative? (a) Positive (b) Negative
  27. 27.Is 9/(−8) positive or negative? (a) Positive (b) Negative
  28. 28.What is (−3/7) − (−1/5)? (a) −8/35 (b) −1/6 (c) −22/35 (d) 8/35
  29. 29.Is −3/(−6) positive or negative? (a) Negative (b) Positive
  30. 30.What is (−1/2) − (−5/8)? (a) −1/8 (b) 1/8 (c) −9/8 (d) 2/5
  31. 31.What is the additive inverse of 1/4? (a) −1/4 (b) −4 (c) 4 (d) 1/4
  32. 32.Is 2/7 positive or negative? (a) Positive (b) Negative
  33. 33.What is 1/5 + (−1/4)? (a) 1/20 (b) −1/20 (c) 9/20 (d) 0
  34. 34.What is the additive inverse of 3/5? (a) −5/3 (b) 5/3 (c) −3/5 (d) 3/5
  35. 35.What is (−3/5) − 1/2? (a) −1/10 (b) 11/10 (c) −11/10 (d) −4/7
  36. 36.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −12/16 (b) −4/3 (c) −3/4 (d) 3/4
  37. 37.Write −30/42 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) −30/42 (d) 5/7
  38. 38.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) 4/5 (c) −4/5 (d) −5/4
  39. 39.Is −9/(−7) positive or negative? (a) Negative (b) Positive
  40. 40.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) −2/3 (c) −3/2 (d) 2/3

Answer key

  1. 3/7
  2. −1/5
  3. −2/9
  4. 6/7
  5. −1/3
  6. −4/15
  7. −5/8
  8. Positive
  9. −9/4
  10. −4/5
  11. −2/3
  12. −80/63
  13. −1/7
  14. −5/8
  15. 1/35
  16. −1/5
  17. −6/7
  18. −2/7
  19. Negative
  20. −73/63
  21. 1/2
  22. 3
  23. −1/2
  24. −8/9
  25. Positive
  26. Positive
  27. Negative
  28. −8/35
  29. Positive
  30. 1/8
  31. −1/4
  32. Positive
  33. −1/20
  34. −3/5
  35. −11/10
  36. −3/4
  37. −5/7
  38. −5/4
  39. Positive
  40. −2/3

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