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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 110 · 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.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −10/15
  2. 2.Which is bigger: −3/4 or 1/3? (a) −3/4 (b) 1/3
  3. 3.Which is bigger: −4/9 or −3/5? (a) −4/9 (b) −3/5
  4. 4.What is (−3/8) − (−4/7)? (a) −11/56 (b) −53/56 (c) 11/56 (d) 1/15
  5. 5.What is (−5/8) − (−7/9)? (a) 11/72 (b) 2/17 (c) −101/72 (d) −11/72
  6. 6.What is (−2/7) + (−4/7)? (a) 2/7 (b) 6/7 (c) −6/7 (d) −3/7
  7. 7.Which is bigger: −1/3 or −5/7? (a) −1/3 (b) −5/7
  8. 8.Which is bigger: −3/7 or 3/5? (a) −3/7 (b) 3/5
  9. 9.What is (−7/9) − 1/8? (a) −65/72 (b) −8/17 (c) 65/72 (d) −47/72
  10. 10.What is (−5/9) − (−1/4)? (a) −11/36 (b) 11/36 (c) −4/13 (d) −29/36
  11. 11.What is 5/8 − (−3/7)? (a) −59/56 (b) 59/56 (c) 11/56 (d) 8/15
  12. 12.Is −3/6 positive or negative? (a) Negative (b) Positive
  13. 13.What is the additive inverse of −7/9? (a) −7/9 (b) 7/9 (c) −9/7 (d) 9/7
  14. 14.Which is smaller: −3/7 or 1/5? (a) 1/5 (b) −3/7
  15. 15.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  16. 16.What is the additive inverse of 8/9? (a) 8/9 (b) 9/8 (c) −9/8 (d) −8/9
  17. 17.What is (−1/7) + (−7/8)? (a) 57/56 (b) 41/56 (c) −57/56 (d) −8/15
  18. 18.What is (−4/7) + 1/3? (a) −19/21 (b) 5/21 (c) −3/10 (d) −5/21
  19. 19.What is the reciprocal (multiplicative inverse) of −5/8? (a) −5/8 (b) 5/8 (c) 8/5 (d) −8/5
  20. 20.Which is smaller: −2/7 or −3/8? (a) −3/8 (b) −2/7
  21. 21.Write −30/35 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −6/7 (c) −7/6 (d) −30/35
  22. 22.What is (−6/7) − 2/3? (a) −4/21 (b) −4/5 (c) 32/21 (d) −32/21
  23. 23.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −40/45 (c) −9/8 (d) −8/9
  24. 24.What is 7/9 + (−1/8)? (a) 6/17 (b) 65/72 (c) −47/72 (d) 47/72
  25. 25.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) 1/5 (c) −5 (d) −1/5
  26. 26.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  27. 27.Which is bigger: −1/5 or 1/2? (a) 1/2 (b) −1/5
  28. 28.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −4/10 (d) −5/2
  29. 29.Which is smaller: −3/5 or 1/3? (a) 1/3 (b) −3/5
  30. 30.What is 1/3 + (−1/5)? (a) 2/15 (b) 8/15 (c) −2/15 (d) 0
  31. 31.What is (−3/5) + (−1/7)? (a) −1/3 (b) −26/35 (c) −16/35 (d) 26/35
  32. 32.What is (−6/7) + (−3/5)? (a) −3/4 (b) 51/35 (c) −9/35 (d) −51/35
  33. 33.What is (−1/5) + 8/9? (a) 1/2 (b) −31/45 (c) 31/45 (d) −49/45
  34. 34.What is the additive inverse of 1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  35. 35.What is (−8/9) + (−1/5)? (a) −31/45 (b) 49/45 (c) −49/45 (d) −9/14
  36. 36.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −2/10 (b) 1/5 (c) −5/1 (d) −1/5
  37. 37.What is (−3/5) − 5/6? (a) −8/11 (b) 43/30 (c) 7/30 (d) −43/30
  38. 38.What is (−3/7) − 1/9? (a) 34/63 (b) −1/4 (c) −34/63 (d) −20/63
  39. 39.What is (−3/5) − (−2/9)? (a) −37/45 (b) −1/14 (c) 17/45 (d) −17/45
  40. 40.What is the additive inverse of 7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9

Answer key

  1. −2/3
  2. 1/3
  3. −4/9
  4. 11/56
  5. 11/72
  6. −6/7
  7. −1/3
  8. 3/5
  9. −65/72
  10. −11/36
  11. 59/56
  12. Negative
  13. 7/9
  14. −3/7
  15. Positive
  16. −8/9
  17. −57/56
  18. −5/21
  19. −8/5
  20. −3/8
  21. −6/7
  22. −32/21
  23. −8/9
  24. 47/72
  25. −5
  26. Negative
  27. 1/2
  28. −2/5
  29. −3/5
  30. 2/15
  31. −26/35
  32. −51/35
  33. 31/45
  34. −1/2
  35. −49/45
  36. −1/5
  37. −43/30
  38. −34/63
  39. −17/45
  40. −7/9

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