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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 20 · 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 (−2/7) − (−2/5)? (a) 4/35 (b) 0 (c) −24/35 (d) −4/35
  2. 2.Which is bigger: −1/7 or −3/5? (a) −3/5 (b) −1/7
  3. 3.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −6/12 (d) −1/2
  4. 4.What is 1/5 + (−5/7)? (a) 18/35 (b) 32/35 (c) −18/35 (d) −1/3
  5. 5.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) 4/5 (c) −5/4 (d) −4/5
  6. 6.What is the reciprocal (multiplicative inverse) of −5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  7. 7.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) 7/4 (d) −4/7
  8. 8.Which is bigger: −4/5 or −2/3? (a) −2/3 (b) −4/5
  9. 9.What is (−5/7) − 3/4? (a) 1/28 (b) 41/28 (c) −8/11 (d) −41/28
  10. 10.Which is smaller: −1/3 or −1/7? (a) −1/7 (b) −1/3
  11. 11.Write 6/(−10) in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −6/10 (d) −3/5
  12. 12.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 1/2 (c) −2 (d) 2
  13. 13.Which is smaller: −3/5 or 3/4? (a) −3/5 (b) 3/4
  14. 14.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −2/3 (b) 2/3 (c) −3/2 (d) −4/6
  15. 15.What is the reciprocal (multiplicative inverse) of −3/8? (a) −3/8 (b) 8/3 (c) 3/8 (d) −8/3
  16. 16.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −12/18 (c) −2/3 (d) 2/3
  17. 17.What is the additive inverse of −2/5? (a) 5/2 (b) −5/2 (c) 2/5 (d) −2/5
  18. 18.What is (−5/9) + (−3/7)? (a) −8/63 (b) −1/2 (c) −62/63 (d) 62/63
  19. 19.What is 1/7 + (−1/9)? (a) 16/63 (b) 0 (c) −2/63 (d) 2/63
  20. 20.Is −6/(−9) positive or negative? (a) Positive (b) Negative
  21. 21.What is (−5/9) + 5/6? (a) 5/18 (b) −5/18 (c) −25/18 (d) 0
  22. 22.Which is bigger: −2/3 or 1/9? (a) −2/3 (b) 1/9
  23. 23.What is (−4/7) − (−5/6)? (a) 11/42 (b) −59/42 (c) 1/13 (d) −11/42
  24. 24.What is (−7/8) − 2/3? (a) −9/11 (b) 37/24 (c) −5/24 (d) −37/24
  25. 25.What is 1/9 + (−1/9)? (a) 2/9 (b) 0
  26. 26.What is the additive inverse of 4/5? (a) 5/4 (b) 4/5 (c) −4/5 (d) −5/4
  27. 27.Is −1/4 positive or negative? (a) Positive (b) Negative
  28. 28.Which is bigger: −8/9 or −2/9? (a) −2/9 (b) −8/9
  29. 29.What is the additive inverse of −2/9? (a) 9/2 (b) 2/9 (c) −9/2 (d) −2/9
  30. 30.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −10/45 (b) −2/9 (c) −9/2 (d) 2/9
  31. 31.What is 3/7 + (−2/5)? (a) −1/35 (b) 29/35 (c) 1/35 (d) 1/12
  32. 32.Is −2/2 positive or negative? (a) Negative (b) Positive
  33. 33.What is (−1/8) − (−3/5)? (a) 2/13 (b) −19/40 (c) −29/40 (d) 19/40
  34. 34.Is 1/6 positive or negative? (a) Positive (b) Negative
  35. 35.Write 2/(−10) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) 1/5 (d) −2/10
  36. 36.Which is bigger: −1/8 or −3/5? (a) −3/5 (b) −1/8
  37. 37.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −15/21 (d) −5/7
  38. 38.What is 5/6 + (−2/3)? (a) −1/6 (b) 3/2 (c) 1/3 (d) 1/6
  39. 39.What is 1/5 − (−3/7)? (a) −22/35 (b) 1/3 (c) −8/35 (d) 22/35
  40. 40.What is (−3/7) + (−3/5)? (a) −36/35 (b) 36/35 (c) −1/2 (d) 6/35

Answer key

  1. 4/35
  2. −1/7
  3. −1/2
  4. −18/35
  5. −4/5
  6. −8/5
  7. 7/4
  8. −2/3
  9. −41/28
  10. −1/3
  11. −3/5
  12. 2
  13. −3/5
  14. −2/3
  15. −8/3
  16. −2/3
  17. 2/5
  18. −62/63
  19. 2/63
  20. Positive
  21. 5/18
  22. 1/9
  23. 11/42
  24. −37/24
  25. 0
  26. −4/5
  27. Negative
  28. −2/9
  29. 2/9
  30. −2/9
  31. 1/35
  32. Negative
  33. 19/40
  34. Positive
  35. −1/5
  36. −1/8
  37. −5/7
  38. 1/6
  39. 22/35
  40. −36/35

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