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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 208 · 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.Which is bigger: −1/4 or −4/7? (a) −4/7 (b) −1/4
  2. 2.Write −35/45 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) −35/45 (d) 7/9
  3. 3.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −2/3 (c) −3/2 (d) 3/2
  4. 4.What is the additive inverse of 3/4? (a) 3/4 (b) −4/3 (c) 4/3 (d) −3/4
  5. 5.What is the reciprocal (multiplicative inverse) of 1/6? (a) −1/6 (b) 1/6 (c) 6 (d) −6
  6. 6.Is 9/4 positive or negative? (a) Negative (b) Positive
  7. 7.What is 7/8 + (−3/8)? (a) 5/4 (b) −1/2 (c) 1/2 (d) 1/4
  8. 8.What is the reciprocal (multiplicative inverse) of −1/6? (a) 1/6 (b) −6 (c) 6 (d) −1/6
  9. 9.What is 3/4 + (−1/8)? (a) 1/6 (b) 5/8 (c) 7/8 (d) −5/8
  10. 10.Which is smaller: −3/5 or −2/9? (a) −2/9 (b) −3/5
  11. 11.What is the additive inverse of −1/6? (a) −6 (b) 1/6 (c) −1/6 (d) 6
  12. 12.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −6/27 (c) 2/9 (d) −2/9
  13. 13.What is 5/6 + (−2/3)? (a) 1/3 (b) 3/2 (c) 1/6 (d) −1/6
  14. 14.Is 6/(−9) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−3/4) − 4/5? (a) 31/20 (b) 1/20 (c) −31/20 (d) −7/9
  16. 16.Is 8/(−4) positive or negative? (a) Positive (b) Negative
  17. 17.Write −10/15 in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −10/15
  18. 18.Which is bigger: −1/4 or 1/3? (a) −1/4 (b) 1/3
  19. 19.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  20. 20.Write −4/12 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −4/12 (c) 1/3 (d) −1/3
  21. 21.What is the additive inverse of −4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  22. 22.What is 3/4 + (−1/6)? (a) 7/12 (b) 11/12 (c) 1/5 (d) −7/12
  23. 23.What is the additive inverse of 1/8? (a) −1/8 (b) −8 (c) 8 (d) 1/8
  24. 24.What is the reciprocal (multiplicative inverse) of 5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  25. 25.What is (−7/9) + 4/9? (a) 1/3 (b) −1/3 (c) −1/6 (d) −11/9
  26. 26.What is 3/4 − (−5/9)? (a) 7/36 (b) 8/13 (c) −47/36 (d) 47/36
  27. 27.What is the additive inverse of −2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  28. 28.Write −12/15 in standard form (lowest terms, positive denominator). (a) −4/5 (b) 4/5 (c) −5/4 (d) −12/15
  29. 29.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −3/2 (b) 2/3 (c) −2/3 (d) −4/6
  30. 30.What is (−3/5) − 5/6? (a) −43/30 (b) 43/30 (c) 7/30 (d) −8/11
  31. 31.Which is smaller: −4/5 or 5/7? (a) 5/7 (b) −4/5
  32. 32.What is (−1/3) + 5/9? (a) 1/3 (b) 2/9 (c) −2/9 (d) −8/9
  33. 33.Which is smaller: −2/7 or 6/7? (a) −2/7 (b) 6/7
  34. 34.What is the reciprocal (multiplicative inverse) of −1/4? (a) 1/4 (b) −4 (c) −1/4 (d) 4
  35. 35.What is (−5/7) − (−7/9)? (a) 4/63 (b) 1/8 (c) −94/63 (d) −4/63
  36. 36.Which is bigger: −1/5 or 2/3? (a) −1/5 (b) 2/3
  37. 37.What is the reciprocal (multiplicative inverse) of −7/8? (a) 7/8 (b) −7/8 (c) −8/7 (d) 8/7
  38. 38.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −9/21 (c) −7/3 (d) −3/7
  39. 39.What is 5/8 + (−1/5)? (a) −17/40 (b) 4/13 (c) 17/40 (d) 33/40
  40. 40.What is (−7/8) + 2/7? (a) −1/3 (b) −65/56 (c) −33/56 (d) 33/56

Answer key

  1. −1/4
  2. −7/9
  3. 3/2
  4. −3/4
  5. 6
  6. Positive
  7. 1/2
  8. −6
  9. 5/8
  10. −3/5
  11. 1/6
  12. −2/9
  13. 1/6
  14. Negative
  15. −31/20
  16. Negative
  17. −2/3
  18. 1/3
  19. −9/2
  20. −1/3
  21. 4/7
  22. 7/12
  23. −1/8
  24. 8/5
  25. −1/3
  26. 47/36
  27. 2/5
  28. −4/5
  29. −2/3
  30. −43/30
  31. −4/5
  32. 2/9
  33. −2/7
  34. −4
  35. 4/63
  36. 2/3
  37. −8/7
  38. −3/7
  39. 17/40
  40. −33/56

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