← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 726 · 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 (−3/8) − 3/8? (a) 3/4 (b) 0 (c) −3/8 (d) −3/4
  2. 2.What is (−5/7) + (−4/9)? (a) −73/63 (b) 73/63 (c) −9/16 (d) −17/63
  3. 3.What is the additive inverse of −5/9? (a) −9/5 (b) −5/9 (c) 9/5 (d) 5/9
  4. 4.Write −20/35 in standard form (lowest terms, positive denominator). (a) −20/35 (b) −7/4 (c) −4/7 (d) 4/7
  5. 5.What is (−2/5) − (−7/8)? (a) 5/13 (b) −19/40 (c) 19/40 (d) −51/40
  6. 6.Which is bigger: −4/9 or 2/3? (a) −4/9 (b) 2/3
  7. 7.What is (−7/9) + 4/7? (a) 13/63 (b) −85/63 (c) −13/63 (d) −3/16
  8. 8.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −28/36 (d) 7/9
  9. 9.What is (−5/6) + 3/5? (a) −7/30 (b) 7/30 (c) −2/11 (d) −43/30
  10. 10.What is (−1/3) + 1/5? (a) −8/15 (b) −2/15 (c) 0 (d) 2/15
  11. 11.Is 2/5 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−1/2) − 3/4? (a) 5/4 (b) −2/3 (c) −5/4 (d) 1/4
  13. 13.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −8/20 (c) −5/2 (d) 2/5
  14. 14.What is the reciprocal (multiplicative inverse) of 8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  15. 15.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −16/28 (c) −7/4 (d) 4/7
  16. 16.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −6/5 (c) −15/18 (d) −5/6
  17. 17.Which is smaller: −1/4 or −2/5? (a) −1/4 (b) −2/5
  18. 18.Is −1/4 positive or negative? (a) Positive (b) Negative
  19. 19.What is 1/4 + (−2/9)? (a) −1/13 (b) 17/36 (c) 1/36 (d) −1/36
  20. 20.What is (−4/9) − 1/9? (a) 5/9 (b) −1/3 (c) −5/18 (d) −5/9
  21. 21.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −6/16 (c) 3/8 (d) −8/3
  22. 22.Write −8/20 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −8/20 (c) −5/2 (d) 2/5
  23. 23.Is 5/6 positive or negative? (a) Negative (b) Positive
  24. 24.What is the additive inverse of 1/5? (a) −5 (b) −1/5 (c) 5 (d) 1/5
  25. 25.What is (−3/5) − 1/6? (a) 23/30 (b) −4/11 (c) −23/30 (d) −13/30
  26. 26.Which is bigger: −2/3 or 1/4? (a) 1/4 (b) −2/3
  27. 27.What is (−3/7) − (−4/5)? (a) −13/35 (b) −43/35 (c) 1/12 (d) 13/35
  28. 28.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) 4/5 (d) −12/15
  29. 29.What is the additive inverse of −2/5? (a) −2/5 (b) 2/5 (c) 5/2 (d) −5/2
  30. 30.What is 1/3 + (−2/9)? (a) 5/9 (b) −1/9 (c) −1/12 (d) 1/9
  31. 31.Is 7/8 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−4/9) + 2/3? (a) −2/9 (b) −1/6 (c) −10/9 (d) 2/9
  33. 33.Which is bigger: −5/8 or −1/2? (a) −5/8 (b) −1/2
  34. 34.Which is bigger: −5/6 or −4/7? (a) −4/7 (b) −5/6
  35. 35.What is (−7/9) − (−2/9)? (a) −5/9 (b) 5/9 (c) −5/18 (d) −1
  36. 36.Is −3/9 positive or negative? (a) Negative (b) Positive
  37. 37.What is (−3/8) + (−1/6)? (a) −5/24 (b) 13/24 (c) −2/7 (d) −13/24
  38. 38.What is 2/5 + (−5/8)? (a) 9/40 (b) −3/13 (c) −9/40 (d) 41/40
  39. 39.Which is bigger: −4/5 or −2/5? (a) −4/5 (b) −2/5
  40. 40.What is the reciprocal (multiplicative inverse) of 7/8? (a) −8/7 (b) −7/8 (c) 8/7 (d) 7/8

Answer key

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

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