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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 759 · 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) − 2/9? (a) −25/72 (b) −3/17 (c) 25/72 (d) 7/72
  2. 2.Which is smaller: −4/9 or −8/9? (a) −4/9 (b) −8/9
  3. 3.Is −4/9 positive or negative? (a) Positive (b) Negative
  4. 4.Is −2/(−3) positive or negative? (a) Positive (b) Negative
  5. 5.What is 4/5 − (−7/9)? (a) −71/45 (b) 1/45 (c) 11/14 (d) 71/45
  6. 6.Which is smaller: −4/9 or −3/8? (a) −4/9 (b) −3/8
  7. 7.Is 6/(−9) positive or negative? (a) Negative (b) Positive
  8. 8.Write −9/21 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −9/21 (c) −7/3 (d) −3/7
  9. 9.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  10. 10.What is (−3/5) − (−4/9)? (a) −7/45 (b) 7/45 (c) −47/45 (d) 1/14
  11. 11.Which is smaller: −3/5 or −2/3? (a) −3/5 (b) −2/3
  12. 12.Is 1/2 positive or negative? (a) Negative (b) Positive
  13. 13.Which is bigger: −1/3 or 1/7? (a) 1/7 (b) −1/3
  14. 14.What is the additive inverse of −1/6? (a) −1/6 (b) −6 (c) 6 (d) 1/6
  15. 15.Write 20/(−28) in standard form (lowest terms, positive denominator). (a) −5/7 (b) 5/7 (c) −20/28 (d) −7/5
  16. 16.Which is bigger: −2/7 or 2/9? (a) −2/7 (b) 2/9
  17. 17.What is 1/5 + (−5/7)? (a) −18/35 (b) 18/35 (c) −1/3 (d) 32/35
  18. 18.What is (−1/8) + (−6/7)? (a) 55/56 (b) −7/15 (c) −55/56 (d) 41/56
  19. 19.Which is bigger: −6/7 or 3/4? (a) −6/7 (b) 3/4
  20. 20.Which is bigger: −3/4 or 1/2? (a) −3/4 (b) 1/2
  21. 21.What is 4/9 + (−1/4)? (a) 3/13 (b) 25/36 (c) −7/36 (d) 7/36
  22. 22.What is 1/9 + (−1/3)? (a) 0 (b) 2/9 (c) 4/9 (d) −2/9
  23. 23.Which is smaller: −1/9 or −1/4? (a) −1/4 (b) −1/9
  24. 24.What is (−5/7) − (−4/5)? (a) −3/35 (b) −1/12 (c) −53/35 (d) 3/35
  25. 25.What is (−7/9) + 1/8? (a) −6/17 (b) −47/72 (c) 47/72 (d) −65/72
  26. 26.Is −5/6 positive or negative? (a) Negative (b) Positive
  27. 27.Which is bigger: −5/6 or 7/9? (a) 7/9 (b) −5/6
  28. 28.What is (−6/7) + 8/9? (a) 1/8 (b) 2/63 (c) −2/63 (d) −110/63
  29. 29.What is the reciprocal (multiplicative inverse) of −7/9? (a) −9/7 (b) 9/7 (c) 7/9 (d) −7/9
  30. 30.What is (−4/9) + (−5/7)? (a) 17/63 (b) 73/63 (c) −9/16 (d) −73/63
  31. 31.What is 1/5 + (−2/7)? (a) −3/35 (b) −1/12 (c) 17/35 (d) 3/35
  32. 32.Write −4/28 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −4/28 (d) −1/7
  33. 33.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −12/42 (c) −7/2 (d) −2/7
  34. 34.Which is bigger: −1/5 or 5/6? (a) 5/6 (b) −1/5
  35. 35.Which is smaller: −4/9 or −1/4? (a) −4/9 (b) −1/4
  36. 36.Write −18/42 in standard form (lowest terms, positive denominator). (a) −18/42 (b) −3/7 (c) −7/3 (d) 3/7
  37. 37.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  38. 38.What is (−1/4) + 5/6? (a) −13/12 (b) 7/12 (c) 2/5 (d) −7/12
  39. 39.What is the reciprocal (multiplicative inverse) of 5/6? (a) 6/5 (b) −6/5 (c) 5/6 (d) −5/6
  40. 40.Which is bigger: −5/8 or −1/2? (a) −1/2 (b) −5/8

Answer key

  1. −25/72
  2. −8/9
  3. Negative
  4. Positive
  5. 71/45
  6. −4/9
  7. Negative
  8. −3/7
  9. Negative
  10. −7/45
  11. −2/3
  12. Positive
  13. 1/7
  14. 1/6
  15. −5/7
  16. 2/9
  17. −18/35
  18. −55/56
  19. 3/4
  20. 1/2
  21. 7/36
  22. −2/9
  23. −1/4
  24. 3/35
  25. −47/72
  26. Negative
  27. 7/9
  28. 2/63
  29. −9/7
  30. −73/63
  31. −3/35
  32. −1/7
  33. −2/7
  34. 5/6
  35. −4/9
  36. −3/7
  37. Negative
  38. 7/12
  39. 6/5
  40. −1/2

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