← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 930 · 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 (−4/5) + (−3/7)? (a) −13/35 (b) −43/35 (c) 43/35 (d) −7/12
  2. 2.Write −35/40 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) −35/40 (d) 7/8
  3. 3.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  4. 4.Write −2/10 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −2/10 (d) −1/5
  5. 5.Which is smaller: −2/3 or 1/3? (a) 1/3 (b) −2/3
  6. 6.What is 1/9 + (−1/2)? (a) 0 (b) −7/18 (c) 11/18 (d) 7/18
  7. 7.Is −3/(−2) positive or negative? (a) Negative (b) Positive
  8. 8.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −12/21 (d) −4/7
  9. 9.Which is smaller: −8/9 or −3/4? (a) −8/9 (b) −3/4
  10. 10.What is (−2/5) + 5/9? (a) −43/45 (b) −7/45 (c) 3/14 (d) 7/45
  11. 11.What is the additive inverse of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  12. 12.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) −9/5 (c) 5/9 (d) 9/5
  13. 13.Write −15/40 in standard form (lowest terms, positive denominator). (a) −15/40 (b) 3/8 (c) −3/8 (d) −8/3
  14. 14.Which is smaller: −5/8 or 3/4? (a) 3/4 (b) −5/8
  15. 15.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −8/1 (c) −1/8 (d) −6/48
  16. 16.What is (−2/5) − 2/7? (a) 24/35 (b) −24/35 (c) −1/3 (d) −4/35
  17. 17.What is the additive inverse of 2/5? (a) 2/5 (b) −5/2 (c) 5/2 (d) −2/5
  18. 18.Which is smaller: −2/7 or −7/9? (a) −7/9 (b) −2/7
  19. 19.What is 1/7 − (−4/5)? (a) −33/35 (b) −23/35 (c) 5/12 (d) 33/35
  20. 20.What is 4/5 − (−1/4)? (a) −21/20 (b) 21/20 (c) 11/20 (d) 5/9
  21. 21.What is 1/4 + (−1/4)? (a) 1/2 (b) 0
  22. 22.What is 3/8 + (−8/9)? (a) 37/72 (b) −5/17 (c) −37/72 (d) 91/72
  23. 23.What is 1/7 − (−3/7)? (a) −4/7 (b) −2/7 (c) 2/7 (d) 4/7
  24. 24.Is 2/8 positive or negative? (a) Negative (b) Positive
  25. 25.Write −3/12 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −3/12 (d) −1/4
  26. 26.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −6/15 (d) −5/2
  27. 27.Which is smaller: −1/7 or 1/4? (a) −1/7 (b) 1/4
  28. 28.Is 5/5 positive or negative? (a) Negative (b) Positive
  29. 29.What is (−5/7) + 3/8? (a) −61/56 (b) 19/56 (c) −19/56 (d) −2/15
  30. 30.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  31. 31.Which is smaller: −2/7 or −1/2? (a) −1/2 (b) −2/7
  32. 32.What is (−4/5) − (−6/7)? (a) −58/35 (b) 1/6 (c) −2/35 (d) 2/35
  33. 33.Is 4/3 positive or negative? (a) Negative (b) Positive
  34. 34.What is the additive inverse of −1/6? (a) 6 (b) 1/6 (c) −6 (d) −1/6
  35. 35.Is 6/(−8) positive or negative? (a) Negative (b) Positive
  36. 36.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 3/8 (c) −3/8 (d) 8/3
  37. 37.Which is bigger: −2/9 or 3/7? (a) 3/7 (b) −2/9
  38. 38.What is (−4/7) + (−2/5)? (a) −1/2 (b) 34/35 (c) −6/35 (d) −34/35
  39. 39.Which is smaller: −3/7 or −1/2? (a) −3/7 (b) −1/2
  40. 40.Is −3/(−4) positive or negative? (a) Negative (b) Positive

Answer key

  1. −43/35
  2. −7/8
  3. Positive
  4. −1/5
  5. −2/3
  6. −7/18
  7. Positive
  8. −4/7
  9. −8/9
  10. 7/45
  11. −5/8
  12. 9/5
  13. −3/8
  14. −5/8
  15. −1/8
  16. −24/35
  17. −2/5
  18. −7/9
  19. 33/35
  20. 21/20
  21. 0
  22. −37/72
  23. 4/7
  24. Positive
  25. −1/4
  26. −2/5
  27. −1/7
  28. Positive
  29. −19/56
  30. −7/5
  31. −1/2
  32. 2/35
  33. Positive
  34. 1/6
  35. Negative
  36. 8/3
  37. 3/7
  38. −34/35
  39. −1/2
  40. Positive

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