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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 95 · 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 (−1/5) + (−7/8)? (a) −43/40 (b) −8/13 (c) 27/40 (d) 43/40
  2. 2.Which is smaller: −4/9 or 1/4? (a) −4/9 (b) 1/4
  3. 3.What is 2/9 + (−8/9)? (a) −1/3 (b) 2/3 (c) 10/9 (d) −2/3
  4. 4.Which is smaller: −2/5 or 5/6? (a) 5/6 (b) −2/5
  5. 5.Which is smaller: −2/5 or −1/3? (a) −1/3 (b) −2/5
  6. 6.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −25/35 (b) −5/7 (c) −7/5 (d) 5/7
  7. 7.Write 9/(−15) in standard form (lowest terms, positive denominator). (a) −9/15 (b) −5/3 (c) 3/5 (d) −3/5
  8. 8.Which is bigger: −3/8 or 8/9? (a) 8/9 (b) −3/8
  9. 9.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −6/7 (d) −30/35
  10. 10.What is (−2/3) + (−1/7)? (a) −3/10 (b) −17/21 (c) 17/21 (d) −11/21
  11. 11.Write 4/(−18) in standard form (lowest terms, positive denominator). (a) −9/2 (b) −2/9 (c) −4/18 (d) 2/9
  12. 12.Is −3/7 positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of −1/4? (a) 4 (b) 1/4 (c) −1/4 (d) −4
  14. 14.Is −5/(−2) positive or negative? (a) Negative (b) Positive
  15. 15.What is 1/2 + (−1/4)? (a) 3/4 (b) 0 (c) 1/4 (d) −1/4
  16. 16.What is (−3/8) − (−6/7)? (a) 27/56 (b) 1/5 (c) −27/56 (d) −69/56
  17. 17.What is the reciprocal (multiplicative inverse) of −1/3? (a) −1/3 (b) 1/3 (c) −3 (d) 3
  18. 18.What is the reciprocal (multiplicative inverse) of 3/5? (a) 5/3 (b) −5/3 (c) 3/5 (d) −3/5
  19. 19.Is 2/(−4) positive or negative? (a) Positive (b) Negative
  20. 20.What is (−6/7) + 3/7? (a) 3/7 (b) −9/7 (c) −3/7 (d) −3/14
  21. 21.Is 6/(−5) positive or negative? (a) Positive (b) Negative
  22. 22.What is (−5/9) − 2/5? (a) −43/45 (b) −1/2 (c) −7/45 (d) 43/45
  23. 23.What is (−1/6) + 7/9? (a) 11/18 (b) −11/18 (c) −17/18 (d) 2/5
  24. 24.What is (−5/6) + (−1/2)? (a) 4/3 (b) −4/3 (c) −1/3 (d) −3/4
  25. 25.What is the additive inverse of −3/4? (a) −3/4 (b) 4/3 (c) −4/3 (d) 3/4
  26. 26.What is (−7/8) + (−1/6)? (a) 25/24 (b) −4/7 (c) −17/24 (d) −25/24
  27. 27.What is the additive inverse of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  28. 28.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  29. 29.Write −18/48 in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −18/48 (d) −8/3
  30. 30.Which is bigger: −2/7 or −1/4? (a) −1/4 (b) −2/7
  31. 31.What is 5/9 + (−1/6)? (a) −7/18 (b) 4/15 (c) 13/18 (d) 7/18
  32. 32.Write −12/20 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −12/20
  33. 33.What is the additive inverse of −1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  34. 34.What is (−8/9) + 1/8? (a) −73/72 (b) 55/72 (c) −7/17 (d) −55/72
  35. 35.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  36. 36.What is (−5/6) − 5/9? (a) −5/18 (b) −25/18 (c) −2/3 (d) 25/18
  37. 37.What is (−4/5) + 4/5? (a) 0 (b) −8/5
  38. 38.What is (−2/5) + 5/8? (a) −9/40 (b) −41/40 (c) 9/40 (d) 3/13
  39. 39.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) −1/2 (c) 2 (d) 1/2
  40. 40.What is (−5/9) + 8/9? (a) −1/3 (b) −13/9 (c) 1/3 (d) 1/6

Answer key

  1. −43/40
  2. −4/9
  3. −2/3
  4. −2/5
  5. −2/5
  6. −5/7
  7. −3/5
  8. 8/9
  9. −6/7
  10. −17/21
  11. −2/9
  12. Negative
  13. 1/4
  14. Positive
  15. 1/4
  16. 27/56
  17. −3
  18. 5/3
  19. Negative
  20. −3/7
  21. Negative
  22. −43/45
  23. 11/18
  24. −4/3
  25. 3/4
  26. −25/24
  27. −1/8
  28. 4/3
  29. −3/8
  30. −1/4
  31. 7/18
  32. −3/5
  33. 1/3
  34. −55/72
  35. −9/5
  36. −25/18
  37. 0
  38. 9/40
  39. 2
  40. 1/3

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