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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 505 · 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.Write −36/42 in standard form (lowest terms, positive denominator). (a) −36/42 (b) −7/6 (c) 6/7 (d) −6/7
  2. 2.What is (−4/9) + 5/8? (a) −77/72 (b) −13/72 (c) 1/17 (d) 13/72
  3. 3.Which is bigger: −7/9 or −2/9? (a) −7/9 (b) −2/9
  4. 4.Which is bigger: −1/6 or 2/9? (a) 2/9 (b) −1/6
  5. 5.Which is bigger: −5/6 or 1/8? (a) 1/8 (b) −5/6
  6. 6.Which is bigger: −4/5 or −2/3? (a) −4/5 (b) −2/3
  7. 7.Which is bigger: −1/4 or −7/8? (a) −1/4 (b) −7/8
  8. 8.What is 4/7 − (−2/3)? (a) −2/21 (b) 26/21 (c) −26/21 (d) 3/5
  9. 9.What is 4/5 − (−1/4)? (a) −21/20 (b) 21/20 (c) 11/20 (d) 5/9
  10. 10.Which is bigger: −6/7 or 2/5? (a) −6/7 (b) 2/5
  11. 11.What is (−7/9) + 6/7? (a) −5/63 (b) −103/63 (c) −1/16 (d) 5/63
  12. 12.Is 5/7 positive or negative? (a) Negative (b) Positive
  13. 13.Write −4/18 in standard form (lowest terms, positive denominator). (a) −4/18 (b) −9/2 (c) −2/9 (d) 2/9
  14. 14.Write −6/8 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −6/8 (c) −3/4 (d) 3/4
  15. 15.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  16. 16.What is (−7/9) + (−5/6)? (a) 29/18 (b) −29/18 (c) 1/18 (d) −4/5
  17. 17.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −12/14 (d) 6/7
  18. 18.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −6/16 (d) −3/8
  19. 19.Is −2/(−8) positive or negative? (a) Positive (b) Negative
  20. 20.Is 6/(−2) positive or negative? (a) Negative (b) Positive
  21. 21.Write 2/(−18) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −2/18 (d) 1/9
  22. 22.What is (−7/9) + 3/5? (a) −2/7 (b) −62/45 (c) −8/45 (d) 8/45
  23. 23.Write 30/(−48) in standard form (lowest terms, positive denominator). (a) −8/5 (b) 5/8 (c) −30/48 (d) −5/8
  24. 24.What is the additive inverse of −5/9? (a) −5/9 (b) −9/5 (c) 9/5 (d) 5/9
  25. 25.What is (−2/5) − 3/5? (a) 1 (b) −1/2 (c) −1 (d) 1/5
  26. 26.Write −10/45 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −10/45 (c) −9/2 (d) 2/9
  27. 27.Which is smaller: −1/4 or −4/7? (a) −4/7 (b) −1/4
  28. 28.What is (−5/6) + (−3/7)? (a) 53/42 (b) −53/42 (c) −8/13 (d) −17/42
  29. 29.Write −9/15 in standard form (lowest terms, positive denominator). (a) −5/3 (b) −3/5 (c) −9/15 (d) 3/5
  30. 30.What is (−1/3) − 4/7? (a) −1/2 (b) 5/21 (c) −19/21 (d) 19/21
  31. 31.Which is smaller: −1/6 or 1/3? (a) 1/3 (b) −1/6
  32. 32.What is 2/5 + (−2/3)? (a) 0 (b) −4/15 (c) 4/15 (d) 16/15
  33. 33.Which is bigger: −1/2 or −1/9? (a) −1/9 (b) −1/2
  34. 34.Is −2/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.What is the reciprocal (multiplicative inverse) of 3/5? (a) −5/3 (b) 3/5 (c) −3/5 (d) 5/3
  36. 36.What is 4/7 − (−5/6)? (a) 9/13 (b) −11/42 (c) −59/42 (d) 59/42
  37. 37.Which is smaller: −3/8 or −1/3? (a) −1/3 (b) −3/8
  38. 38.What is the additive inverse of 5/9? (a) 5/9 (b) 9/5 (c) −9/5 (d) −5/9
  39. 39.What is 1/6 − (−2/5)? (a) 3/11 (b) −17/30 (c) 17/30 (d) −7/30
  40. 40.Is 1/7 positive or negative? (a) Positive (b) Negative

Answer key

  1. −6/7
  2. 13/72
  3. −2/9
  4. 2/9
  5. 1/8
  6. −2/3
  7. −1/4
  8. 26/21
  9. 21/20
  10. 2/5
  11. 5/63
  12. Positive
  13. −2/9
  14. −3/4
  15. −4/3
  16. −29/18
  17. −6/7
  18. −3/8
  19. Positive
  20. Negative
  21. −1/9
  22. −8/45
  23. −5/8
  24. 5/9
  25. −1
  26. −2/9
  27. −4/7
  28. −53/42
  29. −3/5
  30. −19/21
  31. −1/6
  32. −4/15
  33. −1/9
  34. Positive
  35. 5/3
  36. 59/42
  37. −3/8
  38. −5/9
  39. 17/30
  40. Positive

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