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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 196 · 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 (−3/4) + 5/9? (a) 2/13 (b) −47/36 (c) 7/36 (d) −7/36
  2. 2.Which is bigger: −1/5 or −2/7? (a) −2/7 (b) −1/5
  3. 3.Is −7/4 positive or negative? (a) Negative (b) Positive
  4. 4.Is 4/8 positive or negative? (a) Positive (b) Negative
  5. 5.Write −15/18 in standard form (lowest terms, positive denominator). (a) 5/6 (b) −5/6 (c) −15/18 (d) −6/5
  6. 6.What is 1/8 − (−2/7)? (a) 23/56 (b) −23/56 (c) 1/5 (d) −9/56
  7. 7.What is 2/7 − (−5/8)? (a) −19/56 (b) −51/56 (c) 51/56 (d) 7/15
  8. 8.Write −6/27 in standard form (lowest terms, positive denominator). (a) −2/9 (b) −9/2 (c) 2/9 (d) −6/27
  9. 9.Which is bigger: −3/5 or −4/9? (a) −3/5 (b) −4/9
  10. 10.What is (−2/7) − 1/4? (a) −1/28 (b) 15/28 (c) −3/11 (d) −15/28
  11. 11.Write −28/32 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −28/32 (c) 7/8 (d) −7/8
  12. 12.What is (−1/3) + 2/5? (a) −11/15 (b) 1/8 (c) 1/15 (d) −1/15
  13. 13.What is (−5/6) + 8/9? (a) 1/5 (b) −31/18 (c) 1/18 (d) −1/18
  14. 14.What is (−5/8) − (−2/7)? (a) −51/56 (b) −1/5 (c) −19/56 (d) 19/56
  15. 15.What is 1/5 + (−1/2)? (a) 0 (b) 3/10 (c) −3/10 (d) 7/10
  16. 16.What is 7/9 + (−5/8)? (a) 11/72 (b) −11/72 (c) 2/17 (d) 101/72
  17. 17.Is −3/(−9) positive or negative? (a) Negative (b) Positive
  18. 18.Which is smaller: −1/5 or −2/5? (a) −1/5 (b) −2/5
  19. 19.Write 5/(−10) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −5/10 (c) −2/1 (d) −1/2
  20. 20.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) 9/5 (c) 5/9 (d) −9/5
  21. 21.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) −5/8 (d) 5/8
  22. 22.Which is bigger: −7/8 or 1/2? (a) −7/8 (b) 1/2
  23. 23.Is −4/5 positive or negative? (a) Positive (b) Negative
  24. 24.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  25. 25.Write −28/36 in standard form (lowest terms, positive denominator). (a) −28/36 (b) −9/7 (c) 7/9 (d) −7/9
  26. 26.Is 8/(−5) positive or negative? (a) Negative (b) Positive
  27. 27.Write −4/32 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −4/32 (c) −8/1 (d) 1/8
  28. 28.Which is smaller: −1/7 or 7/8? (a) −1/7 (b) 7/8
  29. 29.What is (−3/5) − 5/8? (a) 49/40 (b) 1/40 (c) −49/40 (d) −8/13
  30. 30.What is (−4/5) + 3/4? (a) −1/9 (b) 1/20 (c) −1/20 (d) −31/20
  31. 31.What is (−7/8) − 2/5? (a) −51/40 (b) 51/40 (c) −9/13 (d) −19/40
  32. 32.Which is smaller: −5/8 or −4/9? (a) −4/9 (b) −5/8
  33. 33.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −9/5 (b) −15/27 (c) 5/9 (d) −5/9
  34. 34.Which is bigger: −3/4 or 2/5? (a) 2/5 (b) −3/4
  35. 35.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) 1/2 (c) −1/2 (d) −2
  36. 36.What is 3/4 + (−2/9)? (a) 1/13 (b) 35/36 (c) −19/36 (d) 19/36
  37. 37.Which is bigger: −5/7 or −3/8? (a) −5/7 (b) −3/8
  38. 38.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −6/16 (c) 3/8 (d) −8/3
  39. 39.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −1/9 (c) −5/45 (d) 1/9
  40. 40.What is (−1/6) + (−2/5)? (a) 17/30 (b) −17/30 (c) −3/11 (d) 7/30

Answer key

  1. −7/36
  2. −1/5
  3. Negative
  4. Positive
  5. −5/6
  6. 23/56
  7. 51/56
  8. −2/9
  9. −4/9
  10. −15/28
  11. −7/8
  12. 1/15
  13. 1/18
  14. −19/56
  15. −3/10
  16. 11/72
  17. Positive
  18. −2/5
  19. −1/2
  20. 9/5
  21. −5/8
  22. 1/2
  23. Negative
  24. Positive
  25. −7/9
  26. Negative
  27. −1/8
  28. −1/7
  29. −49/40
  30. −1/20
  31. −51/40
  32. −5/8
  33. −5/9
  34. 2/5
  35. −2
  36. 19/36
  37. −3/8
  38. −3/8
  39. −1/9
  40. −17/30

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