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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 765 · 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 (−5/6) + 1/7? (a) −41/42 (b) 29/42 (c) −29/42 (d) −4/13
  2. 2.Which is bigger: −3/5 or −1/9? (a) −1/9 (b) −3/5
  3. 3.Write −5/20 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −5/20 (d) −4/1
  4. 4.Is −9/8 positive or negative? (a) Positive (b) Negative
  5. 5.What is 1/7 − (−5/9)? (a) −26/63 (b) 44/63 (c) −44/63 (d) 3/8
  6. 6.What is (−1/2) − 4/5? (a) 3/10 (b) −13/10 (c) −5/7 (d) 13/10
  7. 7.What is (−6/7) + 3/7? (a) 3/7 (b) −3/14 (c) −3/7 (d) −9/7
  8. 8.What is 4/9 − (−3/4)? (a) 7/13 (b) −11/36 (c) −43/36 (d) 43/36
  9. 9.Write −36/42 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −36/42 (d) −6/7
  10. 10.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −15/35
  11. 11.What is (−5/7) + 1/4? (a) −4/11 (b) −13/28 (c) −27/28 (d) 13/28
  12. 12.What is (−5/6) − (−2/3)? (a) 1/6 (b) −1/6 (c) −3/2 (d) −1/3
  13. 13.Is −2/7 positive or negative? (a) Positive (b) Negative
  14. 14.What is (−7/8) + 5/6? (a) −41/24 (b) −1/24 (c) −1/7 (d) 1/24
  15. 15.Which is bigger: −5/8 or 1/6? (a) −5/8 (b) 1/6
  16. 16.Is 7/(−8) positive or negative? (a) Negative (b) Positive
  17. 17.Which is smaller: −7/8 or 4/7? (a) 4/7 (b) −7/8
  18. 18.What is the additive inverse of 2/7? (a) 2/7 (b) −7/2 (c) −2/7 (d) 7/2
  19. 19.Write −2/14 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −2/14 (c) −1/7 (d) 1/7
  20. 20.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −12/27 (d) −9/4
  21. 21.What is (−2/5) + (−5/6)? (a) 13/30 (b) −37/30 (c) 37/30 (d) −7/11
  22. 22.What is (−4/5) − 4/9? (a) −16/45 (b) −4/7 (c) −56/45 (d) 56/45
  23. 23.What is the additive inverse of 7/8? (a) 7/8 (b) −8/7 (c) 8/7 (d) −7/8
  24. 24.Write −14/18 in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −14/18 (d) −7/9
  25. 25.Is −3/3 positive or negative? (a) Positive (b) Negative
  26. 26.What is 5/7 + (−7/9)? (a) −1/8 (b) 94/63 (c) −4/63 (d) 4/63
  27. 27.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −15/21 (b) −5/7 (c) 5/7 (d) −7/5
  28. 28.Which is smaller: −1/2 or 1/4? (a) −1/2 (b) 1/4
  29. 29.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/16 (b) −4/1 (c) 1/4 (d) −1/4
  30. 30.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −10/15 (b) −3/2 (c) 2/3 (d) −2/3
  31. 31.What is (−1/8) + 3/5? (a) −19/40 (b) 2/13 (c) 19/40 (d) −29/40
  32. 32.What is (−2/9) − 5/8? (a) 29/72 (b) −61/72 (c) 61/72 (d) −7/17
  33. 33.Which is bigger: −5/8 or −5/7? (a) −5/8 (b) −5/7
  34. 34.What is (−5/6) − 3/5? (a) 43/30 (b) −7/30 (c) −8/11 (d) −43/30
  35. 35.Is −5/3 positive or negative? (a) Negative (b) Positive
  36. 36.Which is smaller: −2/3 or 1/3? (a) 1/3 (b) −2/3
  37. 37.What is (−1/7) + 3/5? (a) 16/35 (b) −26/35 (c) −16/35 (d) 1/6
  38. 38.Is 2/6 positive or negative? (a) Positive (b) Negative
  39. 39.What is the additive inverse of −6/7? (a) −7/6 (b) −6/7 (c) 6/7 (d) 7/6
  40. 40.Which is smaller: −1/8 or 4/5? (a) 4/5 (b) −1/8

Answer key

  1. −29/42
  2. −1/9
  3. −1/4
  4. Negative
  5. 44/63
  6. −13/10
  7. −3/7
  8. 43/36
  9. −6/7
  10. −3/7
  11. −13/28
  12. −1/6
  13. Negative
  14. −1/24
  15. 1/6
  16. Negative
  17. −7/8
  18. −2/7
  19. −1/7
  20. −4/9
  21. −37/30
  22. −56/45
  23. −7/8
  24. −7/9
  25. Negative
  26. −4/63
  27. −5/7
  28. −1/2
  29. −1/4
  30. −2/3
  31. 19/40
  32. −61/72
  33. −5/8
  34. −43/30
  35. Negative
  36. −2/3
  37. 16/35
  38. Positive
  39. 6/7
  40. −1/8

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