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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 646 · 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 (−6/7) + 1/4? (a) 17/28 (b) −17/28 (c) −5/11 (d) −31/28
  2. 2.What is the reciprocal (multiplicative inverse) of 6/7? (a) −7/6 (b) −6/7 (c) 6/7 (d) 7/6
  3. 3.Write 18/(−48) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −3/8 (c) −18/48 (d) −8/3
  4. 4.What is (−1/6) + (−4/7)? (a) −31/42 (b) 17/42 (c) 31/42 (d) −5/13
  5. 5.What is (−1/4) + 1/3? (a) 0 (b) 1/12 (c) −7/12 (d) −1/12
  6. 6.Write 8/(−20) in standard form (lowest terms, positive denominator). (a) 2/5 (b) −8/20 (c) −5/2 (d) −2/5
  7. 7.Which is smaller: −1/3 or 3/4? (a) −1/3 (b) 3/4
  8. 8.What is the additive inverse of 2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  9. 9.Which is bigger: −2/3 or 4/5? (a) −2/3 (b) 4/5
  10. 10.Write 12/(−28) in standard form (lowest terms, positive denominator). (a) −3/7 (b) −12/28 (c) −7/3 (d) 3/7
  11. 11.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/25 (c) −1/5 (d) −5/1
  12. 12.What is (−5/6) + 6/7? (a) 1/42 (b) −71/42 (c) −1/42 (d) 1/13
  13. 13.What is (−7/9) − 3/5? (a) 62/45 (b) −62/45 (c) −8/45 (d) −5/7
  14. 14.Is 9/8 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−1/5) + 2/9? (a) 1/14 (b) −19/45 (c) −1/45 (d) 1/45
  16. 16.Which is bigger: −1/6 or 3/7? (a) −1/6 (b) 3/7
  17. 17.What is (−6/7) − 4/7? (a) −10/7 (b) −5/7 (c) 10/7 (d) −2/7
  18. 18.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) −4/16 (b) −1/4 (c) 1/4 (d) −4/1
  19. 19.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 3/5 (c) −5/3 (d) 5/3
  20. 20.Which is bigger: −1/9 or −2/3? (a) −1/9 (b) −2/3
  21. 21.Which is smaller: −2/5 or −1/5? (a) −1/5 (b) −2/5
  22. 22.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 1/2 (c) −1/2 (d) 2
  23. 23.Which is smaller: −2/5 or −5/7? (a) −2/5 (b) −5/7
  24. 24.What is (−3/4) + (−2/9)? (a) −19/36 (b) 35/36 (c) −5/13 (d) −35/36
  25. 25.What is (−7/8) − (−1/4)? (a) 5/8 (b) −1/2 (c) −9/8 (d) −5/8
  26. 26.Is 6/2 positive or negative? (a) Positive (b) Negative
  27. 27.Is 8/(−3) positive or negative? (a) Negative (b) Positive
  28. 28.What is 2/3 + (−1/3)? (a) 1 (b) −1/3 (c) 1/6 (d) 1/3
  29. 29.What is 7/8 + (−2/3)? (a) 37/24 (b) 5/11 (c) −5/24 (d) 5/24
  30. 30.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) −7/5 (c) −5/7 (d) 7/5
  31. 31.Is −3/(−5) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/8) − (−6/7)? (a) −41/56 (b) −55/56 (c) 41/56 (d) 1/3
  33. 33.What is (−1/8) + 2/9? (a) −7/72 (b) 7/72 (c) 1/17 (d) −25/72
  34. 34.Is 3/(−7) positive or negative? (a) Negative (b) Positive
  35. 35.What is 3/8 − (−1/4)? (a) −5/8 (b) 1/8 (c) 1/3 (d) 5/8
  36. 36.Is −4/2 positive or negative? (a) Negative (b) Positive
  37. 37.What is (−5/6) + 3/5? (a) −2/11 (b) −7/30 (c) −43/30 (d) 7/30
  38. 38.What is 3/5 + (−1/3)? (a) 14/15 (b) −4/15 (c) 4/15 (d) 1/4
  39. 39.What is (−5/8) + (−2/9)? (a) −29/72 (b) 61/72 (c) −61/72 (d) −7/17
  40. 40.Which is bigger: −5/9 or −7/8? (a) −5/9 (b) −7/8

Answer key

  1. −17/28
  2. 7/6
  3. −3/8
  4. −31/42
  5. 1/12
  6. −2/5
  7. −1/3
  8. −2/5
  9. 4/5
  10. −3/7
  11. −1/5
  12. 1/42
  13. −62/45
  14. Positive
  15. 1/45
  16. 3/7
  17. −10/7
  18. −1/4
  19. −5/3
  20. −1/9
  21. −2/5
  22. 2
  23. −5/7
  24. −35/36
  25. −5/8
  26. Positive
  27. Negative
  28. 1/3
  29. 5/24
  30. 7/5
  31. Positive
  32. 41/56
  33. 7/72
  34. Negative
  35. 5/8
  36. Negative
  37. −7/30
  38. 4/15
  39. −61/72
  40. −5/9

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