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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 342 · 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 1/8 − (−3/8)? (a) −1/4 (b) −1/2 (c) 1/2 (d) 1/4
  2. 2.What is (−5/9) + (−1/5)? (a) −3/7 (b) −16/45 (c) −34/45 (d) 34/45
  3. 3.What is (−3/4) + 1/2? (a) −1/3 (b) −5/4 (c) −1/4 (d) 1/4
  4. 4.Is −6/7 positive or negative? (a) Negative (b) Positive
  5. 5.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) −15/40 (d) 3/8
  6. 6.What is the additive inverse of 2/9? (a) −9/2 (b) 9/2 (c) −2/9 (d) 2/9
  7. 7.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −9/24 (b) 3/8 (c) −8/3 (d) −3/8
  8. 8.What is 2/5 − (−2/7)? (a) 24/35 (b) −24/35 (c) 1/3 (d) 4/35
  9. 9.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −10/25 (c) −2/5 (d) −5/2
  10. 10.Which is bigger: −2/9 or −1/6? (a) −1/6 (b) −2/9
  11. 11.What is (−3/8) − 1/7? (a) 29/56 (b) −29/56 (c) −13/56 (d) −4/15
  12. 12.What is the additive inverse of 4/7? (a) 4/7 (b) −4/7 (c) −7/4 (d) 7/4
  13. 13.Write 20/(−24) in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −6/5 (d) −20/24
  14. 14.What is 2/5 + (−5/9)? (a) −7/45 (b) 7/45 (c) −3/14 (d) 43/45
  15. 15.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −20/35 (b) −4/7 (c) 4/7 (d) −7/4
  16. 16.Which is bigger: −2/3 or 5/6? (a) −2/3 (b) 5/6
  17. 17.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −8/5 (c) 5/8 (d) −30/48
  18. 18.Which is smaller: −4/9 or −4/7? (a) −4/9 (b) −4/7
  19. 19.Is 9/9 positive or negative? (a) Negative (b) Positive
  20. 20.Which is bigger: −5/8 or 3/4? (a) 3/4 (b) −5/8
  21. 21.What is (−2/9) − 1/7? (a) −5/63 (b) −23/63 (c) 23/63 (d) −3/16
  22. 22.Which is bigger: −3/5 or 1/3? (a) −3/5 (b) 1/3
  23. 23.What is (−1/2) − (−5/7)? (a) 4/9 (b) 3/14 (c) −17/14 (d) −3/14
  24. 24.What is the reciprocal (multiplicative inverse) of 2/7? (a) 2/7 (b) −2/7 (c) 7/2 (d) −7/2
  25. 25.What is 2/9 + (−1/9)? (a) 1/9 (b) 1/18 (c) −1/9 (d) 1/3
  26. 26.Which is bigger: −3/8 or 1/9? (a) −3/8 (b) 1/9
  27. 27.What is 7/8 + (−2/9)? (a) −47/72 (b) 5/17 (c) 47/72 (d) 79/72
  28. 28.What is 2/5 + (−3/5)? (a) −1/5 (b) −1/10 (c) 1 (d) 1/5
  29. 29.Is −2/9 positive or negative? (a) Negative (b) Positive
  30. 30.Is −6/2 positive or negative? (a) Positive (b) Negative
  31. 31.Is 6/7 positive or negative? (a) Negative (b) Positive
  32. 32.What is (−5/6) + 5/6? (a) 0 (b) −5/3
  33. 33.Which is smaller: −4/7 or 8/9? (a) 8/9 (b) −4/7
  34. 34.What is (−1/7) − (−1/4)? (a) −3/28 (b) 3/28 (c) 0 (d) −11/28
  35. 35.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −4/18 (b) 2/9 (c) −2/9 (d) −9/2
  36. 36.Which is bigger: −2/3 or 3/4? (a) 3/4 (b) −2/3
  37. 37.What is the additive inverse of 3/7? (a) 7/3 (b) −7/3 (c) −3/7 (d) 3/7
  38. 38.What is (−1/7) + (−2/5)? (a) 9/35 (b) −1/4 (c) −19/35 (d) 19/35
  39. 39.What is the additive inverse of 2/5? (a) 2/5 (b) −2/5 (c) −5/2 (d) 5/2
  40. 40.What is (−1/9) + (−3/8)? (a) 19/72 (b) 35/72 (c) −4/17 (d) −35/72

Answer key

  1. 1/2
  2. −34/45
  3. −1/4
  4. Negative
  5. −3/8
  6. −2/9
  7. −3/8
  8. 24/35
  9. −2/5
  10. −1/6
  11. −29/56
  12. −4/7
  13. −5/6
  14. −7/45
  15. −4/7
  16. 5/6
  17. −5/8
  18. −4/7
  19. Positive
  20. 3/4
  21. −23/63
  22. 1/3
  23. 3/14
  24. 7/2
  25. 1/9
  26. 1/9
  27. 47/72
  28. −1/5
  29. Negative
  30. Negative
  31. Positive
  32. 0
  33. −4/7
  34. 3/28
  35. −2/9
  36. 3/4
  37. −3/7
  38. −19/35
  39. −2/5
  40. −35/72

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