← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 587 · 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 (−1/5) − 2/3? (a) −3/8 (b) 7/15 (c) −13/15 (d) 13/15
  2. 2.Which is bigger: −3/4 or −4/9? (a) −3/4 (b) −4/9
  3. 3.Which is bigger: −4/7 or −2/5? (a) −2/5 (b) −4/7
  4. 4.Write −5/35 in standard form (lowest terms, positive denominator). (a) −5/35 (b) −1/7 (c) 1/7 (d) −7/1
  5. 5.What is (−1/2) − 4/9? (a) −5/11 (b) −1/18 (c) 17/18 (d) −17/18
  6. 6.Is −1/3 positive or negative? (a) Positive (b) Negative
  7. 7.What is the additive inverse of 1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  8. 8.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −5/35 (b) −7/1 (c) 1/7 (d) −1/7
  9. 9.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  10. 10.What is (−3/7) − (−5/7)? (a) −2/7 (b) −8/7 (c) 1/7 (d) 2/7
  11. 11.What is (−8/9) + (−6/7)? (a) 110/63 (b) −110/63 (c) −7/8 (d) −2/63
  12. 12.Which is bigger: −1/7 or −5/8? (a) −1/7 (b) −5/8
  13. 13.Which is bigger: −6/7 or 1/5? (a) 1/5 (b) −6/7
  14. 14.Is −4/7 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−3/7) + 7/8? (a) 25/56 (b) −25/56 (c) 4/15 (d) −73/56
  16. 16.Write −2/8 in standard form (lowest terms, positive denominator). (a) −2/8 (b) −1/4 (c) −4/1 (d) 1/4
  17. 17.Is 6/6 positive or negative? (a) Positive (b) Negative
  18. 18.What is 8/9 − (−3/5)? (a) 11/14 (b) 67/45 (c) 13/45 (d) −67/45
  19. 19.Is −9/(−7) positive or negative? (a) Negative (b) Positive
  20. 20.Is 6/(−4) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−2/5) − (−7/8)? (a) 5/13 (b) −19/40 (c) −51/40 (d) 19/40
  22. 22.What is the reciprocal (multiplicative inverse) of 3/8? (a) −3/8 (b) 8/3 (c) 3/8 (d) −8/3
  23. 23.Which is bigger: −3/5 or −4/9? (a) −4/9 (b) −3/5
  24. 24.What is the reciprocal (multiplicative inverse) of 2/7? (a) 7/2 (b) 2/7 (c) −7/2 (d) −2/7
  25. 25.What is (−2/7) + (−1/7)? (a) −1/7 (b) 3/7 (c) −3/14 (d) −3/7
  26. 26.Write −12/32 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −12/32 (d) −8/3
  27. 27.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) −5/3 (c) 3/5 (d) 5/3
  28. 28.What is (−3/4) + 2/9? (a) 19/36 (b) −35/36 (c) −1/13 (d) −19/36
  29. 29.What is (−1/5) − 4/5? (a) 1 (b) −1/2 (c) 3/5 (d) −1
  30. 30.What is (−7/8) − (−3/7)? (a) −73/56 (b) −4/15 (c) 25/56 (d) −25/56
  31. 31.What is (−2/7) − 8/9? (a) 74/63 (b) 38/63 (c) −5/8 (d) −74/63
  32. 32.Which is smaller: −5/7 or 4/5? (a) 4/5 (b) −5/7
  33. 33.Is −5/5 positive or negative? (a) Positive (b) Negative
  34. 34.What is 3/4 − (−3/7)? (a) 6/11 (b) 33/28 (c) 9/28 (d) −33/28
  35. 35.Is −8/6 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −4/7 or 2/5? (a) 2/5 (b) −4/7
  37. 37.Is 2/(−2) positive or negative? (a) Negative (b) Positive
  38. 38.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 1/3 (c) 3 (d) −3
  39. 39.What is (−2/3) + 2/5? (a) 0 (b) 4/15 (c) −16/15 (d) −4/15
  40. 40.What is (−5/8) − 1/6? (a) 19/24 (b) −3/7 (c) −11/24 (d) −19/24

Answer key

  1. −13/15
  2. −4/9
  3. −2/5
  4. −1/7
  5. −17/18
  6. Negative
  7. −1/2
  8. −1/7
  9. −7/4
  10. 2/7
  11. −110/63
  12. −1/7
  13. 1/5
  14. Negative
  15. 25/56
  16. −1/4
  17. Positive
  18. 67/45
  19. Positive
  20. Negative
  21. 19/40
  22. 8/3
  23. −4/9
  24. 7/2
  25. −3/7
  26. −3/8
  27. −5/3
  28. −19/36
  29. −1
  30. −25/56
  31. −74/63
  32. −5/7
  33. Negative
  34. 33/28
  35. Negative
  36. 2/5
  37. Negative
  38. −3
  39. −4/15
  40. −19/24

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