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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 399 · 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.Is 6/2 positive or negative? (a) Positive (b) Negative
  2. 2.Which is smaller: −1/8 or −6/7? (a) −1/8 (b) −6/7
  3. 3.Is 1/6 positive or negative? (a) Negative (b) Positive
  4. 4.What is 4/9 + (−6/7)? (a) 82/63 (b) 26/63 (c) −1/8 (d) −26/63
  5. 5.What is the additive inverse of −2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  6. 6.Is 8/9 positive or negative? (a) Positive (b) Negative
  7. 7.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  8. 8.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −10/45 (c) −2/9 (d) 2/9
  9. 9.What is (−1/2) − 1/2? (a) −1 (b) 0 (c) −1/2 (d) 1
  10. 10.What is (−2/5) + 2/3? (a) −4/15 (b) 0 (c) 4/15 (d) −16/15
  11. 11.Write −6/8 in standard form (lowest terms, positive denominator). (a) −6/8 (b) −4/3 (c) −3/4 (d) 3/4
  12. 12.Write −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) 2/9 (d) −6/27
  13. 13.Is 7/9 positive or negative? (a) Positive (b) Negative
  14. 14.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  15. 15.Which is smaller: −1/8 or 5/6? (a) −1/8 (b) 5/6
  16. 16.What is (−1/6) + (−8/9)? (a) −3/5 (b) −19/18 (c) 19/18 (d) 13/18
  17. 17.What is the additive inverse of 4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  18. 18.Write −8/12 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −8/12 (d) −2/3
  19. 19.What is the reciprocal (multiplicative inverse) of 5/6? (a) −5/6 (b) 5/6 (c) −6/5 (d) 6/5
  20. 20.Which is bigger: −1/2 or 5/6? (a) 5/6 (b) −1/2
  21. 21.What is 8/9 − (−4/7)? (a) 20/63 (b) −92/63 (c) 3/4 (d) 92/63
  22. 22.What is (−5/7) + 1/6? (a) −4/13 (b) 23/42 (c) −23/42 (d) −37/42
  23. 23.Write −28/32 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −28/32 (c) 7/8 (d) −8/7
  24. 24.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 3 (c) −1/3 (d) 1/3
  25. 25.What is 2/7 − (−5/9)? (a) 7/16 (b) 53/63 (c) −17/63 (d) −53/63
  26. 26.What is 1/6 + (−4/7)? (a) −3/13 (b) 17/42 (c) −17/42 (d) 31/42
  27. 27.Which is smaller: −2/9 or 1/5? (a) −2/9 (b) 1/5
  28. 28.What is (−2/7) − (−3/5)? (a) 11/35 (b) 1/12 (c) −11/35 (d) −31/35
  29. 29.Which is smaller: −3/8 or −5/8? (a) −3/8 (b) −5/8
  30. 30.Which is bigger: −1/9 or 7/9? (a) 7/9 (b) −1/9
  31. 31.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −4/3 (c) 3/4 (d) −3/4
  32. 32.What is (−5/9) − (−3/4)? (a) −2/13 (b) −7/36 (c) −47/36 (d) 7/36
  33. 33.Is −9/6 positive or negative? (a) Negative (b) Positive
  34. 34.Is 2/(−7) positive or negative? (a) Positive (b) Negative
  35. 35.What is the reciprocal (multiplicative inverse) of −3/5? (a) −5/3 (b) 5/3 (c) 3/5 (d) −3/5
  36. 36.What is 3/4 + (−2/3)? (a) −1/12 (b) 1/12 (c) 1/7 (d) 17/12
  37. 37.Which is bigger: −3/8 or −1/8? (a) −3/8 (b) −1/8
  38. 38.What is the additive inverse of 6/7? (a) 7/6 (b) 6/7 (c) −6/7 (d) −7/6
  39. 39.What is (−1/6) + 4/5? (a) −29/30 (b) −19/30 (c) 19/30 (d) 3/11
  40. 40.Which is bigger: −2/9 or −4/5? (a) −4/5 (b) −2/9

Answer key

  1. Positive
  2. −6/7
  3. Positive
  4. −26/63
  5. 2/5
  6. Positive
  7. Positive
  8. −2/9
  9. −1
  10. 4/15
  11. −3/4
  12. −2/9
  13. Positive
  14. 5/3
  15. −1/8
  16. −19/18
  17. −4/5
  18. −2/3
  19. 6/5
  20. 5/6
  21. 92/63
  22. −23/42
  23. −7/8
  24. 3
  25. 53/63
  26. −17/42
  27. −2/9
  28. 11/35
  29. −5/8
  30. 7/9
  31. −3/4
  32. 7/36
  33. Negative
  34. Negative
  35. −5/3
  36. 1/12
  37. −1/8
  38. −6/7
  39. 19/30
  40. −2/9

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