← Rational numbers lesson New set →

Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 893 · 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 smaller: −1/4 or 1/8? (a) 1/8 (b) −1/4
  2. 2.Is 5/6 positive or negative? (a) Positive (b) Negative
  3. 3.What is (−1/2) + (−8/9)? (a) −25/18 (b) 25/18 (c) −9/11 (d) 7/18
  4. 4.What is 5/7 − (−7/8)? (a) 4/5 (b) 89/56 (c) −89/56 (d) −9/56
  5. 5.What is (−5/7) + 1/2? (a) −4/9 (b) −3/14 (c) −17/14 (d) 3/14
  6. 6.Write −3/15 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −3/15 (c) −5/1 (d) −1/5
  7. 7.What is (−2/9) + 1/8? (a) −1/17 (b) 7/72 (c) −25/72 (d) −7/72
  8. 8.Which is bigger: −1/5 or 5/6? (a) 5/6 (b) −1/5
  9. 9.Is −9/3 positive or negative? (a) Negative (b) Positive
  10. 10.Is −4/5 positive or negative? (a) Positive (b) Negative
  11. 11.What is (−2/7) + 6/7? (a) −8/7 (b) 2/7 (c) 4/7 (d) −4/7
  12. 12.What is 6/7 + (−2/3)? (a) 32/21 (b) −4/21 (c) 2/5 (d) 4/21
  13. 13.What is the additive inverse of 7/8? (a) −8/7 (b) 8/7 (c) 7/8 (d) −7/8
  14. 14.Which is bigger: −6/7 or −1/4? (a) −6/7 (b) −1/4
  15. 15.Is −3/7 positive or negative? (a) Positive (b) Negative
  16. 16.What is (−1/8) − 4/7? (a) −1/3 (b) 25/56 (c) −39/56 (d) 39/56
  17. 17.What is (−2/7) + 3/4? (a) −13/28 (b) −29/28 (c) 1/11 (d) 13/28
  18. 18.What is 2/5 − (−4/9)? (a) −38/45 (b) −2/45 (c) 3/7 (d) 38/45
  19. 19.Which is smaller: −1/9 or −4/5? (a) −1/9 (b) −4/5
  20. 20.Write −12/27 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −12/27 (d) −4/9
  21. 21.Which is bigger: −2/9 or −5/6? (a) −2/9 (b) −5/6
  22. 22.Which is bigger: −1/3 or 8/9? (a) −1/3 (b) 8/9
  23. 23.What is 1/7 − (−1/3)? (a) −4/21 (b) 1/5 (c) 10/21 (d) −10/21
  24. 24.What is 2/5 + (−5/9)? (a) 43/45 (b) −3/14 (c) −7/45 (d) 7/45
  25. 25.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −30/36 (b) 5/6 (c) −5/6 (d) −6/5
  26. 26.Is 4/6 positive or negative? (a) Positive (b) Negative
  27. 27.What is (−5/7) + (−1/4)? (a) 27/28 (b) −13/28 (c) −27/28 (d) −6/11
  28. 28.Which is bigger: −1/7 or 1/3? (a) −1/7 (b) 1/3
  29. 29.What is (−7/8) − (−7/8)? (a) 0 (b) −7/4
  30. 30.What is the additive inverse of −1/4? (a) −1/4 (b) 4 (c) −4 (d) 1/4
  31. 31.Which is smaller: −3/8 or 7/8? (a) −3/8 (b) 7/8
  32. 32.What is 5/6 − (−3/5)? (a) 7/30 (b) 8/11 (c) −43/30 (d) 43/30
  33. 33.Which is bigger: −1/5 or 1/2? (a) −1/5 (b) 1/2
  34. 34.Which is bigger: −2/3 or −3/8? (a) −3/8 (b) −2/3
  35. 35.Write −24/28 in standard form (lowest terms, positive denominator). (a) −24/28 (b) −7/6 (c) 6/7 (d) −6/7
  36. 36.Which is smaller: −7/9 or 4/9? (a) −7/9 (b) 4/9
  37. 37.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  38. 38.Write −2/6 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −1/3 (d) −2/6
  39. 39.Is −7/(−6) positive or negative? (a) Positive (b) Negative
  40. 40.What is (−5/9) + 2/3? (a) −1/4 (b) −1/9 (c) −11/9 (d) 1/9

Answer key

  1. −1/4
  2. Positive
  3. −25/18
  4. 89/56
  5. −3/14
  6. −1/5
  7. −7/72
  8. 5/6
  9. Negative
  10. Negative
  11. 4/7
  12. 4/21
  13. −7/8
  14. −1/4
  15. Negative
  16. −39/56
  17. 13/28
  18. 38/45
  19. −4/5
  20. −4/9
  21. −2/9
  22. 8/9
  23. 10/21
  24. −7/45
  25. −5/6
  26. Positive
  27. −27/28
  28. 1/3
  29. 0
  30. 1/4
  31. −3/8
  32. 43/30
  33. 1/2
  34. −3/8
  35. −6/7
  36. −7/9
  37. Positive
  38. −1/3
  39. Positive
  40. 1/9

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