← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 402 · 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 (−1/4) + 4/7? (a) −9/28 (b) −23/28 (c) 3/11 (d) 9/28
  2. 2.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  3. 3.What is (−3/5) + 1/2? (a) −11/10 (b) −2/7 (c) −1/10 (d) 1/10
  4. 4.Is 2/(−5) positive or negative? (a) Positive (b) Negative
  5. 5.Is −4/9 positive or negative? (a) Positive (b) Negative
  6. 6.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −9/12 (c) 3/4 (d) −3/4
  7. 7.Write −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) −6/7 (c) 6/7 (d) −7/6
  8. 8.What is (−1/2) − (−2/3)? (a) 1/6 (b) 1/5 (c) −1/6 (d) −7/6
  9. 9.What is the additive inverse of −1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  10. 10.What is (−8/9) − (−3/5)? (a) −67/45 (b) −13/45 (c) −5/14 (d) 13/45
  11. 11.What is 1/2 + (−5/7)? (a) 17/14 (b) −3/14 (c) 3/14 (d) −4/9
  12. 12.What is 5/7 − (−1/8)? (a) 47/56 (b) −47/56 (c) 2/5 (d) 33/56
  13. 13.What is (−7/9) + (−2/7)? (a) −67/63 (b) 67/63 (c) −9/16 (d) −31/63
  14. 14.What is the additive inverse of 1/2? (a) 2 (b) −2 (c) 1/2 (d) −1/2
  15. 15.What is (−3/4) + (−1/2)? (a) −1/4 (b) −2/3 (c) 5/4 (d) −5/4
  16. 16.Is −5/3 positive or negative? (a) Negative (b) Positive
  17. 17.What is (−2/7) − 4/5? (a) −1/2 (b) 38/35 (c) 18/35 (d) −38/35
  18. 18.What is (−2/3) + 2/7? (a) 8/21 (b) −8/21 (c) 0 (d) −20/21
  19. 19.What is (−7/8) + 2/7? (a) −65/56 (b) −1/3 (c) 33/56 (d) −33/56
  20. 20.Which is bigger: −6/7 or 5/9? (a) −6/7 (b) 5/9
  21. 21.Is 1/5 positive or negative? (a) Positive (b) Negative
  22. 22.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −28/36 (b) −7/9 (c) −9/7 (d) 7/9
  23. 23.What is 3/5 + (−1/2)? (a) 11/10 (b) −1/10 (c) 2/7 (d) 1/10
  24. 24.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) −4/5 (c) 4/5 (d) 5/4
  25. 25.Write −35/40 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −8/7 (d) −35/40
  26. 26.What is the reciprocal (multiplicative inverse) of 1/9? (a) 1/9 (b) −9 (c) −1/9 (d) 9
  27. 27.What is (−3/8) + 5/7? (a) 2/15 (b) −19/56 (c) 19/56 (d) −61/56
  28. 28.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  29. 29.What is 3/7 − (−2/3)? (a) −5/21 (b) −23/21 (c) 23/21 (d) 1/2
  30. 30.Is −9/5 positive or negative? (a) Positive (b) Negative
  31. 31.What is the reciprocal (multiplicative inverse) of 7/8? (a) 8/7 (b) −8/7 (c) −7/8 (d) 7/8
  32. 32.What is (−1/8) + 1/8? (a) −1/4 (b) 0
  33. 33.Is 1/2 positive or negative? (a) Positive (b) Negative
  34. 34.What is 3/5 − (−2/7)? (a) 5/12 (b) 11/35 (c) 31/35 (d) −31/35
  35. 35.Is −2/9 positive or negative? (a) Negative (b) Positive
  36. 36.What is (−5/8) + (−3/8)? (a) −1/4 (b) 1 (c) −1 (d) −1/2
  37. 37.Is −1/(−7) positive or negative? (a) Negative (b) Positive
  38. 38.What is 1/6 − (−4/9)? (a) −11/18 (b) −5/18 (c) 11/18 (d) 1/3
  39. 39.What is 2/5 − (−4/9)? (a) 38/45 (b) −38/45 (c) −2/45 (d) 3/7
  40. 40.Which is bigger: −2/3 or −5/9? (a) −5/9 (b) −2/3

Answer key

  1. 9/28
  2. Positive
  3. −1/10
  4. Negative
  5. Negative
  6. −3/4
  7. −6/7
  8. 1/6
  9. 1/3
  10. −13/45
  11. −3/14
  12. 47/56
  13. −67/63
  14. −1/2
  15. −5/4
  16. Negative
  17. −38/35
  18. −8/21
  19. −33/56
  20. 5/9
  21. Positive
  22. −7/9
  23. 1/10
  24. −5/4
  25. −7/8
  26. 9
  27. 19/56
  28. 2/9
  29. 23/21
  30. Negative
  31. 8/7
  32. 0
  33. Positive
  34. 31/35
  35. Negative
  36. −1
  37. Positive
  38. 11/18
  39. 38/45
  40. −5/9

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