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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 386 · 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: −1/2 or −4/5? (a) −4/5 (b) −1/2
  2. 2.Is −6/7 positive or negative? (a) Negative (b) Positive
  3. 3.What is (−2/9) − (−1/9)? (a) 1/9 (b) −1/3 (c) −1/9 (d) −1/18
  4. 4.What is 1/7 + (−3/5)? (a) 26/35 (b) 16/35 (c) −1/6 (d) −16/35
  5. 5.What is the additive inverse of −3/7? (a) 7/3 (b) −7/3 (c) −3/7 (d) 3/7
  6. 6.Write −12/42 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) 2/7 (d) −12/42
  7. 7.Which is smaller: −3/4 or 4/9? (a) −3/4 (b) 4/9
  8. 8.What is the reciprocal (multiplicative inverse) of −8/9? (a) 8/9 (b) −8/9 (c) 9/8 (d) −9/8
  9. 9.What is (−8/9) − 1/2? (a) −7/18 (b) 25/18 (c) −25/18 (d) −9/11
  10. 10.What is the reciprocal (multiplicative inverse) of −4/5? (a) 4/5 (b) 5/4 (c) −4/5 (d) −5/4
  11. 11.What is (−3/7) − 2/5? (a) −1/35 (b) −5/12 (c) 29/35 (d) −29/35
  12. 12.Which is bigger: −1/4 or 3/4? (a) −1/4 (b) 3/4
  13. 13.Is −3/2 positive or negative? (a) Negative (b) Positive
  14. 14.What is 1/5 − (−8/9)? (a) −31/45 (b) 49/45 (c) −49/45 (d) 9/14
  15. 15.What is (−1/2) + 1/8? (a) −5/8 (b) 3/8 (c) −3/8 (d) 0
  16. 16.Which is bigger: −1/4 or −1/6? (a) −1/4 (b) −1/6
  17. 17.What is 1/5 − (−3/5)? (a) 4/5 (b) 2/5 (c) −4/5 (d) −2/5
  18. 18.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −12/30 (c) −5/2 (d) −2/5
  19. 19.What is (−1/2) + (−7/9)? (a) 23/18 (b) 5/18 (c) −23/18 (d) −8/11
  20. 20.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) −5/3 (c) 5/3 (d) 3/5
  21. 21.What is (−3/5) + 3/8? (a) 0 (b) −9/40 (c) −39/40 (d) 9/40
  22. 22.What is the additive inverse of −1/6? (a) 1/6 (b) 6 (c) −6 (d) −1/6
  23. 23.What is (−1/8) + (−3/4)? (a) 7/8 (b) −7/8 (c) −1/3 (d) 5/8
  24. 24.Is 9/4 positive or negative? (a) Positive (b) Negative
  25. 25.What is (−3/4) + 1/9? (a) −2/13 (b) 23/36 (c) −31/36 (d) −23/36
  26. 26.What is 1/7 + (−8/9)? (a) −7/16 (b) 47/63 (c) 65/63 (d) −47/63
  27. 27.What is (−2/5) + (−1/6)? (a) −3/11 (b) −7/30 (c) 17/30 (d) −17/30
  28. 28.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −30/36 (c) 5/6 (d) −5/6
  29. 29.Which is smaller: −1/7 or −1/4? (a) −1/7 (b) −1/4
  30. 30.What is (−1/7) − 4/9? (a) −5/16 (b) −37/63 (c) 37/63 (d) 19/63
  31. 31.What is (−1/9) − 8/9? (a) −1/2 (b) −1 (c) 1 (d) 7/9
  32. 32.Which is bigger: −7/8 or −1/9? (a) −7/8 (b) −1/9
  33. 33.Write 6/(−18) in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −6/18 (d) −3/1
  34. 34.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −24/28 (c) −7/6 (d) −6/7
  35. 35.What is (−5/7) + (−4/9)? (a) 73/63 (b) −73/63 (c) −9/16 (d) −17/63
  36. 36.Is −9/(−9) positive or negative? (a) Negative (b) Positive
  37. 37.What is the additive inverse of 4/7? (a) −4/7 (b) 4/7 (c) −7/4 (d) 7/4
  38. 38.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  39. 39.What is 3/4 − (−2/3)? (a) 5/7 (b) 17/12 (c) 1/12 (d) −17/12
  40. 40.What is (−6/7) + 3/7? (a) −9/7 (b) −3/7 (c) −3/14 (d) 3/7

Answer key

  1. −1/2
  2. Negative
  3. −1/9
  4. −16/35
  5. 3/7
  6. −2/7
  7. −3/4
  8. −9/8
  9. −25/18
  10. −5/4
  11. −29/35
  12. 3/4
  13. Negative
  14. 49/45
  15. −3/8
  16. −1/6
  17. 4/5
  18. −2/5
  19. −23/18
  20. −5/3
  21. −9/40
  22. 1/6
  23. −7/8
  24. Positive
  25. −23/36
  26. −47/63
  27. −17/30
  28. −5/6
  29. −1/4
  30. −37/63
  31. −1
  32. −1/9
  33. −1/3
  34. −6/7
  35. −73/63
  36. Positive
  37. −4/7
  38. −4/3
  39. 17/12
  40. −3/7

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