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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 278 · 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 3/8 + (−4/7)? (a) −1/15 (b) 53/56 (c) 11/56 (d) −11/56
  2. 2.What is 7/9 + (−5/6)? (a) 1/18 (b) 29/18 (c) −1/18 (d) 2/15
  3. 3.Which is smaller: −1/2 or 4/7? (a) 4/7 (b) −1/2
  4. 4.Is −4/9 positive or negative? (a) Positive (b) Negative
  5. 5.Is −1/9 positive or negative? (a) Negative (b) Positive
  6. 6.Is 7/5 positive or negative? (a) Positive (b) Negative
  7. 7.Write −4/8 in standard form (lowest terms, positive denominator). (a) −2/1 (b) −4/8 (c) 1/2 (d) −1/2
  8. 8.Write 30/(−36) in standard form (lowest terms, positive denominator). (a) −6/5 (b) −30/36 (c) 5/6 (d) −5/6
  9. 9.What is the additive inverse of −5/9? (a) 9/5 (b) −9/5 (c) 5/9 (d) −5/9
  10. 10.What is (−1/2) + 1/8? (a) −5/8 (b) −3/8 (c) 0 (d) 3/8
  11. 11.What is the additive inverse of 8/9? (a) −9/8 (b) −8/9 (c) 8/9 (d) 9/8
  12. 12.What is (−1/4) + (−5/9)? (a) −6/13 (b) 29/36 (c) 11/36 (d) −29/36
  13. 13.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  14. 14.What is (−4/7) + (−5/8)? (a) −3/5 (b) −67/56 (c) 67/56 (d) 3/56
  15. 15.What is (−7/8) − 7/9? (a) −14/17 (b) 119/72 (c) −7/72 (d) −119/72
  16. 16.Which is smaller: −2/9 or −4/5? (a) −2/9 (b) −4/5
  17. 17.Which is bigger: −4/5 or 3/8? (a) −4/5 (b) 3/8
  18. 18.Is 8/7 positive or negative? (a) Negative (b) Positive
  19. 19.Write −10/25 in standard form (lowest terms, positive denominator). (a) −5/2 (b) −10/25 (c) −2/5 (d) 2/5
  20. 20.Is −8/6 positive or negative? (a) Positive (b) Negative
  21. 21.Is −7/8 positive or negative? (a) Positive (b) Negative
  22. 22.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) 5/8 (c) −5/8 (d) 8/5
  23. 23.What is (−8/9) + 1/4? (a) 23/36 (b) −7/13 (c) −23/36 (d) −41/36
  24. 24.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −5/2 (c) −12/30 (d) 2/5
  25. 25.Which is bigger: −5/7 or 1/3? (a) −5/7 (b) 1/3
  26. 26.What is 1/9 − (−1/8)? (a) 2/17 (b) −1/72 (c) −17/72 (d) 17/72
  27. 27.What is (−2/5) − 1/4? (a) 13/20 (b) −1/3 (c) −3/20 (d) −13/20
  28. 28.What is (−3/5) + 2/7? (a) −1/12 (b) −31/35 (c) 11/35 (d) −11/35
  29. 29.Is −5/7 positive or negative? (a) Positive (b) Negative
  30. 30.What is (−8/9) + 1/3? (a) 5/9 (b) −11/9 (c) −5/9 (d) −7/12
  31. 31.What is (−4/9) + 2/5? (a) 2/45 (b) −2/45 (c) −1/7 (d) −38/45
  32. 32.What is 6/7 + (−4/9)? (a) −26/63 (b) 1/8 (c) 26/63 (d) 82/63
  33. 33.What is (−4/5) + (−2/7)? (a) −18/35 (b) −38/35 (c) −1/2 (d) 38/35
  34. 34.What is 1/6 − (−7/8)? (a) −25/24 (b) 4/7 (c) −17/24 (d) 25/24
  35. 35.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −7/9 (c) 9/7 (d) −9/7
  36. 36.Which is bigger: −4/9 or −2/9? (a) −4/9 (b) −2/9
  37. 37.Write −18/24 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −18/24 (c) −4/3 (d) 3/4
  38. 38.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −3/21 (d) −1/7
  39. 39.What is (−1/5) + (−8/9)? (a) −9/14 (b) 31/45 (c) 49/45 (d) −49/45
  40. 40.What is (−5/7) + (−1/8)? (a) −47/56 (b) −33/56 (c) 47/56 (d) −2/5

Answer key

  1. −11/56
  2. −1/18
  3. −1/2
  4. Negative
  5. Negative
  6. Positive
  7. −1/2
  8. −5/6
  9. 5/9
  10. −3/8
  11. −8/9
  12. −29/36
  13. Positive
  14. −67/56
  15. −119/72
  16. −4/5
  17. 3/8
  18. Positive
  19. −2/5
  20. Negative
  21. Negative
  22. 8/5
  23. −23/36
  24. −2/5
  25. 1/3
  26. 17/72
  27. −13/20
  28. −11/35
  29. Negative
  30. −5/9
  31. −2/45
  32. 26/63
  33. −38/35
  34. 25/24
  35. −9/7
  36. −2/9
  37. −3/4
  38. −1/7
  39. −49/45
  40. −47/56

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