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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 901 · 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.Is −8/4 positive or negative? (a) Positive (b) Negative
  2. 2.What is (−5/6) − (−6/7)? (a) −1/42 (b) −71/42 (c) 1/13 (d) 1/42
  3. 3.What is (−3/7) + 1/5? (a) −22/35 (b) −1/6 (c) 8/35 (d) −8/35
  4. 4.What is the reciprocal (multiplicative inverse) of 4/5? (a) −5/4 (b) 4/5 (c) 5/4 (d) −4/5
  5. 5.What is the additive inverse of 4/7? (a) 4/7 (b) −4/7 (c) −7/4 (d) 7/4
  6. 6.What is (−4/7) − 4/5? (a) 8/35 (b) −48/35 (c) 48/35 (d) −2/3
  7. 7.What is 2/5 − (−3/8)? (a) −31/40 (b) 1/40 (c) 5/13 (d) 31/40
  8. 8.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −5/45 (c) −1/9 (d) 1/9
  9. 9.What is (−1/9) − (−3/5)? (a) −22/45 (b) 22/45 (c) −32/45 (d) 1/7
  10. 10.What is (−4/5) − (−2/5)? (a) −2/5 (b) 2/5 (c) −1/5 (d) −6/5
  11. 11.What is 3/4 + (−4/9)? (a) −11/36 (b) 43/36 (c) 11/36 (d) −1/13
  12. 12.What is 2/7 − (−1/6)? (a) 5/42 (b) 3/13 (c) 19/42 (d) −19/42
  13. 13.What is (−5/6) + 1/2? (a) −4/3 (b) 1/3 (c) −1/2 (d) −1/3
  14. 14.What is (−1/7) + 2/7? (a) 1/7 (b) −1/7 (c) −3/7 (d) 1/14
  15. 15.What is 4/9 + (−7/8)? (a) −31/72 (b) 31/72 (c) −3/17 (d) 95/72
  16. 16.What is 5/8 + (−5/8)? (a) 5/4 (b) 0
  17. 17.What is 4/9 + (−3/8)? (a) −5/72 (b) 5/72 (c) 1/17 (d) 59/72
  18. 18.What is (−5/8) − (−7/9)? (a) −11/72 (b) 11/72 (c) −101/72 (d) 2/17
  19. 19.Is −5/9 positive or negative? (a) Negative (b) Positive
  20. 20.What is 3/5 + (−3/8)? (a) 9/40 (b) 39/40 (c) −9/40 (d) 0
  21. 21.Which is bigger: −2/5 or −5/8? (a) −2/5 (b) −5/8
  22. 22.What is (−5/9) + (−3/4)? (a) 47/36 (b) −8/13 (c) 7/36 (d) −47/36
  23. 23.What is (−3/4) + (−8/9)? (a) 5/36 (b) −59/36 (c) 59/36 (d) −11/13
  24. 24.Which is smaller: −2/5 or −1/3? (a) −1/3 (b) −2/5
  25. 25.What is (−5/8) − (−1/3)? (a) −4/11 (b) 7/24 (c) −23/24 (d) −7/24
  26. 26.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) −6/42 (d) 1/7
  27. 27.Write 4/(−8) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −1/2 (c) −4/8 (d) −2/1
  28. 28.What is (−1/4) + 5/8? (a) 1/3 (b) −7/8 (c) −3/8 (d) 3/8
  29. 29.What is 1/6 − (−2/3)? (a) 1/3 (b) 5/6 (c) −1/2 (d) −5/6
  30. 30.What is (−6/7) + 1/6? (a) −43/42 (b) −5/13 (c) −29/42 (d) 29/42
  31. 31.Write 15/(−40) in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −15/40 (d) −3/8
  32. 32.Write −2/14 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −2/14 (d) −1/7
  33. 33.Which is smaller: −3/8 or −5/8? (a) −3/8 (b) −5/8
  34. 34.What is 8/9 + (−1/8)? (a) 7/17 (b) 55/72 (c) 73/72 (d) −55/72
  35. 35.Which is smaller: −4/9 or 3/5? (a) −4/9 (b) 3/5
  36. 36.What is the additive inverse of −1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  37. 37.What is 3/7 − (−1/6)? (a) −25/42 (b) 25/42 (c) 4/13 (d) 11/42
  38. 38.What is the additive inverse of 3/4? (a) −4/3 (b) 4/3 (c) 3/4 (d) −3/4
  39. 39.What is 1/7 + (−3/5)? (a) −16/35 (b) −1/6 (c) 26/35 (d) 16/35
  40. 40.What is (−7/8) − 1/2? (a) −11/8 (b) 11/8 (c) −4/5 (d) −3/8

Answer key

  1. Negative
  2. 1/42
  3. −8/35
  4. 5/4
  5. −4/7
  6. −48/35
  7. 31/40
  8. −1/9
  9. 22/45
  10. −2/5
  11. 11/36
  12. 19/42
  13. −1/3
  14. 1/7
  15. −31/72
  16. 0
  17. 5/72
  18. 11/72
  19. Negative
  20. 9/40
  21. −2/5
  22. −47/36
  23. −59/36
  24. −2/5
  25. −7/24
  26. −1/7
  27. −1/2
  28. 3/8
  29. 5/6
  30. −29/42
  31. −3/8
  32. −1/7
  33. −5/8
  34. 55/72
  35. −4/9
  36. 1/8
  37. 25/42
  38. −3/4
  39. −16/35
  40. −11/8

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