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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 171 · 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 −4/8 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −4/8 (c) −1/2 (d) −2/1
  2. 2.Which is smaller: −3/4 or 1/8? (a) 1/8 (b) −3/4
  3. 3.Write −18/42 in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) 3/7 (d) −18/42
  4. 4.What is (−5/7) − 2/3? (a) 29/21 (b) −7/10 (c) −1/21 (d) −29/21
  5. 5.Is 4/3 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−3/4) − (−7/9)? (a) 4/13 (b) −1/36 (c) −55/36 (d) 1/36
  7. 7.Which is bigger: −4/7 or −3/4? (a) −3/4 (b) −4/7
  8. 8.What is the additive inverse of −4/5? (a) 5/4 (b) −4/5 (c) −5/4 (d) 4/5
  9. 9.What is 5/7 + (−5/8)? (a) 0 (b) −5/56 (c) 5/56 (d) 75/56
  10. 10.What is the additive inverse of −5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  11. 11.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) 3/7 (c) −3/7 (d) −7/3
  12. 12.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −1/5 (c) −5/1 (d) 1/5
  13. 13.What is 1/8 − (−1/4)? (a) −1/8 (b) 1/6 (c) −3/8 (d) 3/8
  14. 14.What is (−2/9) − 1/5? (a) −3/14 (b) −19/45 (c) −1/45 (d) 19/45
  15. 15.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −5/6 (b) −6/5 (c) −10/12 (d) 5/6
  16. 16.What is (−4/5) + 1/4? (a) 11/20 (b) −21/20 (c) −1/3 (d) −11/20
  17. 17.Write −2/10 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −2/10 (d) −5/1
  18. 18.What is (−5/6) + (−3/4)? (a) 19/12 (b) −1/12 (c) −4/5 (d) −19/12
  19. 19.Which is bigger: −3/5 or 4/7? (a) −3/5 (b) 4/7
  20. 20.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −10/45
  21. 21.Which is bigger: −3/5 or −1/4? (a) −3/5 (b) −1/4
  22. 22.What is (−3/4) + 1/4? (a) −1/2 (b) −1 (c) 1/2 (d) −1/4
  23. 23.Write −2/18 in standard form (lowest terms, positive denominator). (a) −2/18 (b) −1/9 (c) −9/1 (d) 1/9
  24. 24.Which is bigger: −1/2 or −2/3? (a) −2/3 (b) −1/2
  25. 25.Which is bigger: −3/5 or −2/9? (a) −2/9 (b) −3/5
  26. 26.Is 6/9 positive or negative? (a) Positive (b) Negative
  27. 27.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −4/8
  28. 28.Which is smaller: −2/3 or −6/7? (a) −6/7 (b) −2/3
  29. 29.What is (−1/9) + 4/9? (a) −1/3 (b) −5/9 (c) 1/6 (d) 1/3
  30. 30.What is (−2/3) + 3/7? (a) 5/21 (b) −23/21 (c) 1/10 (d) −5/21
  31. 31.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −2/16 (b) −1/8 (c) 1/8 (d) −8/1
  32. 32.What is (−1/9) − 5/7? (a) 52/63 (b) −52/63 (c) 38/63 (d) −3/8
  33. 33.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  34. 34.What is (−1/4) − (−5/8)? (a) 3/8 (b) 1/3 (c) −3/8 (d) −7/8
  35. 35.What is (−2/9) − (−1/7)? (a) −5/63 (b) −1/16 (c) 5/63 (d) −23/63
  36. 36.Which is smaller: −4/7 or −1/2? (a) −4/7 (b) −1/2
  37. 37.What is (−1/6) + (−3/7)? (a) −25/42 (b) −4/13 (c) 25/42 (d) 11/42
  38. 38.What is the additive inverse of −8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  39. 39.Is 3/7 positive or negative? (a) Negative (b) Positive
  40. 40.Write −2/4 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −2/4 (c) −1/2 (d) 1/2

Answer key

  1. −1/2
  2. −3/4
  3. −3/7
  4. −29/21
  5. Positive
  6. 1/36
  7. −4/7
  8. 4/5
  9. 5/56
  10. 5/9
  11. −7/3
  12. −1/5
  13. 3/8
  14. −19/45
  15. −5/6
  16. −11/20
  17. −1/5
  18. −19/12
  19. 4/7
  20. −2/9
  21. −1/4
  22. −1/2
  23. −1/9
  24. −1/2
  25. −2/9
  26. Positive
  27. −1/2
  28. −6/7
  29. 1/3
  30. −5/21
  31. −1/8
  32. −52/63
  33. 9/5
  34. 3/8
  35. −5/63
  36. −4/7
  37. −25/42
  38. 8/9
  39. Positive
  40. −1/2

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