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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 117 · 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 the additive inverse of 3/5? (a) −5/3 (b) 3/5 (c) −3/5 (d) 5/3
  2. 2.What is 5/6 + (−1/3)? (a) 7/6 (b) 1/2 (c) 4/9 (d) −1/2
  3. 3.What is 5/7 − (−1/5)? (a) 18/35 (b) 1/2 (c) −32/35 (d) 32/35
  4. 4.What is (−1/4) − (−5/8)? (a) 3/8 (b) 1/3 (c) −3/8 (d) −7/8
  5. 5.What is 8/9 + (−1/2)? (a) 7/11 (b) 7/18 (c) −7/18 (d) 25/18
  6. 6.What is (−3/5) + 4/7? (a) −1/35 (b) 1/12 (c) −41/35 (d) 1/35
  7. 7.What is 1/5 − (−7/9)? (a) 4/7 (b) 44/45 (c) −26/45 (d) −44/45
  8. 8.What is (−1/6) − 5/7? (a) 23/42 (b) 37/42 (c) −37/42 (d) −6/13
  9. 9.What is (−3/5) − 6/7? (a) 51/35 (b) −51/35 (c) 9/35 (d) −3/4
  10. 10.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  11. 11.Which is bigger: −2/7 or 2/3? (a) 2/3 (b) −2/7
  12. 12.Write 6/(−15) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −2/5 (d) −6/15
  13. 13.Is −6/(−9) positive or negative? (a) Positive (b) Negative
  14. 14.Write −25/45 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −5/9 (c) −9/5 (d) −25/45
  15. 15.Is −1/(−6) positive or negative? (a) Negative (b) Positive
  16. 16.What is (−2/3) + 2/9? (a) −8/9 (b) 0 (c) 4/9 (d) −4/9
  17. 17.What is (−3/8) + (−4/5)? (a) −47/40 (b) 17/40 (c) 47/40 (d) −7/13
  18. 18.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  19. 19.What is the additive inverse of 1/2? (a) 2 (b) −1/2 (c) −2 (d) 1/2
  20. 20.What is the additive inverse of 7/9? (a) −7/9 (b) 9/7 (c) 7/9 (d) −9/7
  21. 21.Which is bigger: −4/9 or 1/6? (a) 1/6 (b) −4/9
  22. 22.Write 2/(−4) in standard form (lowest terms, positive denominator). (a) −1/2 (b) −2/1 (c) −2/4 (d) 1/2
  23. 23.What is the reciprocal (multiplicative inverse) of 1/7? (a) −1/7 (b) −7 (c) 7 (d) 1/7
  24. 24.What is (−4/9) + (−2/5)? (a) 38/45 (b) −3/7 (c) −38/45 (d) −2/45
  25. 25.Write −12/16 in standard form (lowest terms, positive denominator). (a) −3/4 (b) 3/4 (c) −12/16 (d) −4/3
  26. 26.Which is bigger: −1/7 or 5/8? (a) −1/7 (b) 5/8
  27. 27.Is 9/(−4) positive or negative? (a) Positive (b) Negative
  28. 28.What is (−8/9) − (−2/3)? (a) −14/9 (b) −2/9 (c) 2/9 (d) −1/2
  29. 29.What is (−1/5) + (−2/3)? (a) 13/15 (b) 7/15 (c) −3/8 (d) −13/15
  30. 30.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  31. 31.Write −30/48 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −8/5 (d) −30/48
  32. 32.Is 8/6 positive or negative? (a) Negative (b) Positive
  33. 33.Which is bigger: −8/9 or −7/8? (a) −8/9 (b) −7/8
  34. 34.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −9/4 (c) −24/54 (d) −4/9
  35. 35.What is the additive inverse of 2/3? (a) 3/2 (b) −2/3 (c) −3/2 (d) 2/3
  36. 36.Which is smaller: −1/5 or 5/7? (a) 5/7 (b) −1/5
  37. 37.Is −9/(−6) positive or negative? (a) Positive (b) Negative
  38. 38.What is (−7/9) + (−1/7)? (a) −58/63 (b) −1/2 (c) 58/63 (d) −40/63
  39. 39.What is the additive inverse of −5/9? (a) −9/5 (b) 5/9 (c) 9/5 (d) −5/9
  40. 40.Is 7/(−4) positive or negative? (a) Negative (b) Positive

Answer key

  1. −3/5
  2. 1/2
  3. 32/35
  4. 3/8
  5. 7/18
  6. −1/35
  7. 44/45
  8. −37/42
  9. −51/35
  10. Negative
  11. 2/3
  12. −2/5
  13. Positive
  14. −5/9
  15. Positive
  16. −4/9
  17. −47/40
  18. Positive
  19. −1/2
  20. −7/9
  21. 1/6
  22. −1/2
  23. 7
  24. −38/45
  25. −3/4
  26. 5/8
  27. Negative
  28. −2/9
  29. −13/15
  30. −2
  31. −5/8
  32. Positive
  33. −7/8
  34. −4/9
  35. −2/3
  36. −1/5
  37. Positive
  38. −58/63
  39. 5/9
  40. Negative

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