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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 633 · 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 14/(−18) in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −9/7 (d) −14/18
  2. 2.What is (−7/8) + (−1/6)? (a) −17/24 (b) −4/7 (c) −25/24 (d) 25/24
  3. 3.What is (−7/9) − 1/7? (a) −58/63 (b) −1/2 (c) −40/63 (d) 58/63
  4. 4.Which is smaller: −4/5 or 8/9? (a) 8/9 (b) −4/5
  5. 5.What is the additive inverse of 3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  6. 6.Write −15/21 in standard form (lowest terms, positive denominator). (a) −15/21 (b) −5/7 (c) −7/5 (d) 5/7
  7. 7.Write −10/25 in standard form (lowest terms, positive denominator). (a) −5/2 (b) 2/5 (c) −10/25 (d) −2/5
  8. 8.What is (−3/7) − (−5/9)? (a) 1/8 (b) −8/63 (c) 8/63 (d) −62/63
  9. 9.What is the reciprocal (multiplicative inverse) of −2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5
  10. 10.Is 6/(−7) positive or negative? (a) Positive (b) Negative
  11. 11.Is 7/8 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−3/4) − 6/7? (a) 3/28 (b) −9/11 (c) −45/28 (d) 45/28
  13. 13.Write −6/18 in standard form (lowest terms, positive denominator). (a) −1/3 (b) −6/18 (c) 1/3 (d) −3/1
  14. 14.Which is bigger: −1/5 or 4/9? (a) 4/9 (b) −1/5
  15. 15.Write 3/(−18) in standard form (lowest terms, positive denominator). (a) −3/18 (b) −1/6 (c) 1/6 (d) −6/1
  16. 16.What is the additive inverse of −3/4? (a) −4/3 (b) 4/3 (c) −3/4 (d) 3/4
  17. 17.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  18. 18.What is the additive inverse of −4/9? (a) −9/4 (b) −4/9 (c) 4/9 (d) 9/4
  19. 19.What is the additive inverse of −5/6? (a) −5/6 (b) −6/5 (c) 5/6 (d) 6/5
  20. 20.Is 4/(−8) positive or negative? (a) Positive (b) Negative
  21. 21.Is 5/3 positive or negative? (a) Negative (b) Positive
  22. 22.What is 2/7 + (−7/8)? (a) 33/56 (b) −1/3 (c) 65/56 (d) −33/56
  23. 23.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  24. 24.What is (−6/7) − 1/7? (a) −1/2 (b) 1 (c) −5/7 (d) −1
  25. 25.Which is bigger: −5/6 or −3/5? (a) −3/5 (b) −5/6
  26. 26.Which is bigger: −7/9 or −1/7? (a) −1/7 (b) −7/9
  27. 27.Write 36/(−42) in standard form (lowest terms, positive denominator). (a) −36/42 (b) −7/6 (c) 6/7 (d) −6/7
  28. 28.Which is smaller: −5/6 or 1/5? (a) 1/5 (b) −5/6
  29. 29.What is (−7/9) − 2/5? (a) 53/45 (b) −17/45 (c) −9/14 (d) −53/45
  30. 30.Which is smaller: −1/4 or 2/5? (a) −1/4 (b) 2/5
  31. 31.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −6/42 (d) −1/7
  32. 32.What is 2/5 + (−5/7)? (a) −1/4 (b) 11/35 (c) 39/35 (d) −11/35
  33. 33.What is the additive inverse of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  34. 34.Which is bigger: −8/9 or −3/4? (a) −3/4 (b) −8/9
  35. 35.Which is smaller: −1/8 or −2/5? (a) −1/8 (b) −2/5
  36. 36.What is 4/7 + (−1/8)? (a) 39/56 (b) 1/5 (c) 25/56 (d) −25/56
  37. 37.Is 8/4 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−6/7) + 2/5? (a) −1/3 (b) 16/35 (c) −16/35 (d) −44/35
  39. 39.Which is bigger: −1/5 or −5/9? (a) −1/5 (b) −5/9
  40. 40.What is (−2/5) + 1/2? (a) 1/10 (b) −9/10 (c) −1/10 (d) −1/7

Answer key

  1. −7/9
  2. −25/24
  3. −58/63
  4. −4/5
  5. −3/4
  6. −5/7
  7. −2/5
  8. 8/63
  9. −5/2
  10. Negative
  11. Positive
  12. −45/28
  13. −1/3
  14. 4/9
  15. −1/6
  16. 3/4
  17. 9/5
  18. 4/9
  19. 5/6
  20. Negative
  21. Positive
  22. −33/56
  23. −7/3
  24. −1
  25. −3/5
  26. −1/7
  27. −6/7
  28. −5/6
  29. −53/45
  30. −1/4
  31. −1/7
  32. −11/35
  33. −5/6
  34. −3/4
  35. −2/5
  36. 25/56
  37. Positive
  38. −16/35
  39. −1/5
  40. 1/10

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