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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 306 · 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).

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  1. 1.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −6/48 (c) 1/8 (d) −1/8
  2. 2.What is (−2/5) + 3/7? (a) −29/35 (b) −1/35 (c) 1/12 (d) 1/35
  3. 3.Is −9/(−8) positive or negative? (a) Negative (b) Positive
  4. 4.Which is bigger: −4/7 or −5/8? (a) −4/7 (b) −5/8
  5. 5.What is the additive inverse of −1/5? (a) 1/5 (b) −5 (c) −1/5 (d) 5
  6. 6.Which is smaller: −3/4 or −2/9? (a) −2/9 (b) −3/4
  7. 7.What is the reciprocal (multiplicative inverse) of −5/8? (a) 5/8 (b) 8/5 (c) −5/8 (d) −8/5
  8. 8.What is 6/7 − (−4/5)? (a) 5/6 (b) −58/35 (c) 58/35 (d) 2/35
  9. 9.Which is smaller: −1/9 or 4/9? (a) 4/9 (b) −1/9
  10. 10.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −2/4 (b) 1/2 (c) −2/1 (d) −1/2
  11. 11.Which is smaller: −2/3 or 8/9? (a) −2/3 (b) 8/9
  12. 12.Is −2/4 positive or negative? (a) Positive (b) Negative
  13. 13.What is (−5/7) − 1/8? (a) 47/56 (b) −2/5 (c) −47/56 (d) −33/56
  14. 14.What is the additive inverse of −5/8? (a) 8/5 (b) −5/8 (c) 5/8 (d) −8/5
  15. 15.What is (−1/3) − (−1/2)? (a) 0 (b) 1/6 (c) −5/6 (d) −1/6
  16. 16.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  17. 17.Is −2/2 positive or negative? (a) Positive (b) Negative
  18. 18.Is 6/(−3) positive or negative? (a) Negative (b) Positive
  19. 19.What is (−1/4) + (−1/9)? (a) 13/36 (b) −2/13 (c) −13/36 (d) −5/36
  20. 20.What is (−3/4) + 3/8? (a) −3/8 (b) 3/8 (c) −9/8 (d) 0
  21. 21.Write −15/24 in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −15/24 (d) −5/8
  22. 22.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −7/4 (c) 4/7 (d) −4/7
  23. 23.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 4/7 (c) −4/7 (d) 7/4
  24. 24.Which is smaller: −1/3 or −4/5? (a) −4/5 (b) −1/3
  25. 25.Is 7/8 positive or negative? (a) Negative (b) Positive
  26. 26.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −1/3 (b) −3/1 (c) 1/3 (d) −5/15
  27. 27.What is the reciprocal (multiplicative inverse) of 4/5? (a) 4/5 (b) −4/5 (c) 5/4 (d) −5/4
  28. 28.Which is smaller: −5/8 or −2/7? (a) −5/8 (b) −2/7
  29. 29.Write −3/9 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −3/1 (d) −3/9
  30. 30.Which is bigger: −1/9 or −3/4? (a) −1/9 (b) −3/4
  31. 31.What is (−5/6) + 3/4? (a) 1/12 (b) −1/12 (c) −19/12 (d) −1/5
  32. 32.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  33. 33.What is 4/9 + (−8/9)? (a) 4/3 (b) −4/9 (c) 4/9 (d) −2/9
  34. 34.Write −9/15 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) 3/5 (d) −9/15
  35. 35.What is 4/9 + (−1/2)? (a) 3/11 (b) −1/18 (c) 1/18 (d) 17/18
  36. 36.What is (−1/4) − 1/2? (a) −1/3 (b) 1/4 (c) −3/4 (d) 3/4
  37. 37.What is (−3/5) + (−1/7)? (a) 26/35 (b) −16/35 (c) −1/3 (d) −26/35
  38. 38.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −36/42 (d) −6/7
  39. 39.What is 1/6 + (−1/8)? (a) −1/24 (b) 0 (c) 1/24 (d) 7/24
  40. 40.What is 4/9 − (−2/3)? (a) −10/9 (b) 1/2 (c) −2/9 (d) 10/9

Answer key

  1. −1/8
  2. 1/35
  3. Positive
  4. −4/7
  5. 1/5
  6. −3/4
  7. −8/5
  8. 58/35
  9. −1/9
  10. −1/2
  11. −2/3
  12. Negative
  13. −47/56
  14. 5/8
  15. 1/6
  16. −4
  17. Negative
  18. Negative
  19. −13/36
  20. −3/8
  21. −5/8
  22. −7/4
  23. 7/4
  24. −4/5
  25. Positive
  26. −1/3
  27. 5/4
  28. −5/8
  29. −1/3
  30. −1/9
  31. −1/12
  32. −5
  33. −4/9
  34. −3/5
  35. −1/18
  36. −3/4
  37. −26/35
  38. −6/7
  39. 1/24
  40. 10/9

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