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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 840 · 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.What is (−3/5) − 4/7? (a) −7/12 (b) 41/35 (c) −41/35 (d) −1/35
  2. 2.Is 6/(−2) positive or negative? (a) Positive (b) Negative
  3. 3.What is (−1/4) + 2/5? (a) −13/20 (b) 3/20 (c) −3/20 (d) 1/9
  4. 4.What is 5/8 + (−6/7)? (a) −13/56 (b) −1/15 (c) 13/56 (d) 83/56
  5. 5.What is (−1/8) − 2/3? (a) 19/24 (b) 13/24 (c) −3/11 (d) −19/24
  6. 6.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −1/8 (d) −3/24
  7. 7.What is the additive inverse of −1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  8. 8.What is (−1/8) − (−2/7)? (a) 9/56 (b) −9/56 (c) 1/15 (d) −23/56
  9. 9.What is 2/7 + (−1/6)? (a) 1/13 (b) 5/42 (c) −5/42 (d) 19/42
  10. 10.Which is bigger: −4/5 or 5/6? (a) −4/5 (b) 5/6
  11. 11.Which is bigger: −1/4 or −1/2? (a) −1/2 (b) −1/4
  12. 12.What is (−3/4) − 4/5? (a) 31/20 (b) 1/20 (c) −7/9 (d) −31/20
  13. 13.Which is smaller: −5/8 or 3/5? (a) 3/5 (b) −5/8
  14. 14.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) −4/14 (d) 2/7
  15. 15.What is (−5/6) + (−3/4)? (a) 19/12 (b) −4/5 (c) −1/12 (d) −19/12
  16. 16.Which is bigger: −1/3 or −7/9? (a) −1/3 (b) −7/9
  17. 17.What is 3/8 + (−2/5)? (a) −1/40 (b) 1/40 (c) 31/40 (d) 1/13
  18. 18.Is −6/(−7) positive or negative? (a) Positive (b) Negative
  19. 19.What is the additive inverse of 2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  20. 20.Which is bigger: −7/9 or −1/9? (a) −1/9 (b) −7/9
  21. 21.What is 5/6 + (−5/6)? (a) 0 (b) 5/3
  22. 22.What is (−1/7) − 1/4? (a) 11/28 (b) −2/11 (c) 3/28 (d) −11/28
  23. 23.Which is smaller: −1/2 or −1/8? (a) −1/2 (b) −1/8
  24. 24.What is 3/4 − (−4/7)? (a) 37/28 (b) 5/28 (c) −37/28 (d) 7/11
  25. 25.Which is bigger: −5/7 or 1/7? (a) −5/7 (b) 1/7
  26. 26.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −12/20 (d) −3/5
  27. 27.What is (−7/8) − 1/4? (a) 9/8 (b) −2/3 (c) −9/8 (d) −5/8
  28. 28.Write −6/16 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −6/16 (c) −3/8 (d) −8/3
  29. 29.What is the additive inverse of 1/2? (a) 2 (b) 1/2 (c) −2 (d) −1/2
  30. 30.Write −20/28 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −7/5 (d) −20/28
  31. 31.What is (−1/7) − 2/5? (a) 9/35 (b) −1/4 (c) −19/35 (d) 19/35
  32. 32.What is the reciprocal (multiplicative inverse) of 1/8? (a) 8 (b) −1/8 (c) 1/8 (d) −8
  33. 33.Which is bigger: −3/7 or 5/7? (a) 5/7 (b) −3/7
  34. 34.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  35. 35.Is 5/9 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −1/3 or −7/8? (a) −7/8 (b) −1/3
  37. 37.Is −3/6 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−1/8) + 3/4? (a) 5/8 (b) −7/8 (c) 1/6 (d) −5/8
  39. 39.What is (−4/5) + 4/7? (a) 8/35 (b) −8/35 (c) 0 (d) −48/35
  40. 40.What is (−1/9) + 2/5? (a) −13/45 (b) −23/45 (c) 1/14 (d) 13/45

Answer key

  1. −41/35
  2. Negative
  3. 3/20
  4. −13/56
  5. −19/24
  6. −1/8
  7. 1/2
  8. 9/56
  9. 5/42
  10. 5/6
  11. −1/4
  12. −31/20
  13. −5/8
  14. −2/7
  15. −19/12
  16. −1/3
  17. −1/40
  18. Positive
  19. −2/9
  20. −1/9
  21. 0
  22. −11/28
  23. −1/2
  24. 37/28
  25. 1/7
  26. −3/5
  27. −9/8
  28. −3/8
  29. −1/2
  30. −5/7
  31. −19/35
  32. 8
  33. 5/7
  34. −5/3
  35. Positive
  36. −1/3
  37. Negative
  38. 5/8
  39. −8/35
  40. 13/45

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