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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 33 · 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 36/(−42) in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −6/7 (d) −36/42
  2. 2.What is 1/8 + (−1/3)? (a) 5/24 (b) 0 (c) 11/24 (d) −5/24
  3. 3.Which is bigger: −3/8 or −4/5? (a) −4/5 (b) −3/8
  4. 4.Which is bigger: −7/8 or 2/9? (a) −7/8 (b) 2/9
  5. 5.What is the additive inverse of 1/3? (a) −3 (b) 3 (c) 1/3 (d) −1/3
  6. 6.Which is bigger: −4/9 or −1/6? (a) −4/9 (b) −1/6
  7. 7.Which is smaller: −7/8 or 3/7? (a) −7/8 (b) 3/7
  8. 8.What is (−5/6) − (−1/7)? (a) −4/13 (b) −29/42 (c) −41/42 (d) 29/42
  9. 9.What is 8/9 + (−5/9)? (a) 1/3 (b) 1/6 (c) −1/3 (d) 13/9
  10. 10.What is 4/5 + (−5/8)? (a) −7/40 (b) −1/13 (c) 57/40 (d) 7/40
  11. 11.Which is smaller: −7/9 or −5/6? (a) −7/9 (b) −5/6
  12. 12.What is 1/7 − (−3/4)? (a) −17/28 (b) 4/11 (c) −25/28 (d) 25/28
  13. 13.Is 5/2 positive or negative? (a) Negative (b) Positive
  14. 14.Is −4/6 positive or negative? (a) Negative (b) Positive
  15. 15.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) 1/3 (c) −1/3 (d) 3
  16. 16.What is (−4/9) + 3/8? (a) 5/72 (b) −5/72 (c) −59/72 (d) −1/17
  17. 17.What is (−3/8) + 1/4? (a) −1/6 (b) 1/8 (c) −1/8 (d) −5/8
  18. 18.What is the reciprocal (multiplicative inverse) of 5/7? (a) −5/7 (b) −7/5 (c) 5/7 (d) 7/5
  19. 19.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −4/32 (b) −8/1 (c) −1/8 (d) 1/8
  20. 20.What is (−1/4) + 1/3? (a) −7/12 (b) 0 (c) 1/12 (d) −1/12
  21. 21.What is (−8/9) + 1/9? (a) −1 (b) −7/9 (c) 7/9 (d) −7/18
  22. 22.Write −21/24 in standard form (lowest terms, positive denominator). (a) −21/24 (b) −7/8 (c) 7/8 (d) −8/7
  23. 23.Write −4/8 in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −4/8 (d) −1/2
  24. 24.What is (−5/7) + (−1/7)? (a) −4/7 (b) 6/7 (c) −3/7 (d) −6/7
  25. 25.What is 1/7 + (−2/7)? (a) 1/7 (b) −1/7 (c) −1/14 (d) 3/7
  26. 26.Which is smaller: −1/2 or 1/6? (a) 1/6 (b) −1/2
  27. 27.What is (−2/7) + 1/4? (a) 1/28 (b) −15/28 (c) −1/28 (d) −1/11
  28. 28.What is (−7/8) + (−4/5)? (a) −11/13 (b) −3/40 (c) −67/40 (d) 67/40
  29. 29.What is the additive inverse of −2/9? (a) −9/2 (b) 9/2 (c) 2/9 (d) −2/9
  30. 30.Write 28/(−36) in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −28/36 (d) −9/7
  31. 31.Write −15/40 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −15/40 (c) −3/8 (d) −8/3
  32. 32.What is 1/3 + (−1/4)? (a) −1/12 (b) 7/12 (c) 1/12 (d) 0
  33. 33.Which is smaller: −5/9 or −4/5? (a) −4/5 (b) −5/9
  34. 34.What is (−1/2) + 6/7? (a) −19/14 (b) 5/9 (c) −5/14 (d) 5/14
  35. 35.Is 3/3 positive or negative? (a) Positive (b) Negative
  36. 36.What is (−2/5) − 5/8? (a) 41/40 (b) −7/13 (c) 9/40 (d) −41/40
  37. 37.Which is bigger: −7/8 or 1/4? (a) 1/4 (b) −7/8
  38. 38.What is 4/7 + (−4/5)? (a) −8/35 (b) 0 (c) 8/35 (d) 48/35
  39. 39.Which is bigger: −3/5 or 1/7? (a) −3/5 (b) 1/7
  40. 40.Write −10/45 in standard form (lowest terms, positive denominator). (a) −10/45 (b) 2/9 (c) −2/9 (d) −9/2

Answer key

  1. −6/7
  2. −5/24
  3. −3/8
  4. 2/9
  5. −1/3
  6. −1/6
  7. −7/8
  8. −29/42
  9. 1/3
  10. 7/40
  11. −5/6
  12. 25/28
  13. Positive
  14. Negative
  15. 3
  16. −5/72
  17. −1/8
  18. 7/5
  19. −1/8
  20. 1/12
  21. −7/9
  22. −7/8
  23. −1/2
  24. −6/7
  25. −1/7
  26. −1/2
  27. −1/28
  28. −67/40
  29. 2/9
  30. −7/9
  31. −3/8
  32. 1/12
  33. −4/5
  34. 5/14
  35. Positive
  36. −41/40
  37. 1/4
  38. −8/35
  39. 1/7
  40. −2/9

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