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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 221 · 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 (−1/4) + (−4/9)? (a) −5/13 (b) −25/36 (c) 25/36 (d) 7/36
  2. 2.Which is bigger: −7/9 or −1/7? (a) −7/9 (b) −1/7
  3. 3.What is the additive inverse of 2/9? (a) −9/2 (b) 2/9 (c) −2/9 (d) 9/2
  4. 4.Is 3/(−7) positive or negative? (a) Positive (b) Negative
  5. 5.What is (−4/5) + 5/8? (a) −57/40 (b) 1/13 (c) −7/40 (d) 7/40
  6. 6.Which is smaller: −7/9 or −4/5? (a) −4/5 (b) −7/9
  7. 7.What is 1/2 − (−2/7)? (a) 3/14 (b) −11/14 (c) 11/14 (d) 1/3
  8. 8.What is 1/3 + (−1/3)? (a) 0 (b) 2/3
  9. 9.What is the reciprocal (multiplicative inverse) of −4/5? (a) −5/4 (b) −4/5 (c) 5/4 (d) 4/5
  10. 10.Which is bigger: −3/4 or −3/8? (a) −3/8 (b) −3/4
  11. 11.What is 1/4 + (−1/8)? (a) 0 (b) −1/8 (c) 1/8 (d) 3/8
  12. 12.Write −16/28 in standard form (lowest terms, positive denominator). (a) −4/7 (b) −16/28 (c) −7/4 (d) 4/7
  13. 13.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −1/5 (c) −5/25 (d) −5/1
  14. 14.Is 3/(−6) positive or negative? (a) Positive (b) Negative
  15. 15.What is 8/9 − (−3/4)? (a) 11/13 (b) 5/36 (c) −59/36 (d) 59/36
  16. 16.What is the additive inverse of 7/8? (a) 7/8 (b) 8/7 (c) −8/7 (d) −7/8
  17. 17.What is 2/9 + (−4/9)? (a) −1/9 (b) 2/3 (c) −2/9 (d) 2/9
  18. 18.Which is smaller: −1/3 or 2/3? (a) −1/3 (b) 2/3
  19. 19.Write −5/40 in standard form (lowest terms, positive denominator). (a) −5/40 (b) −1/8 (c) 1/8 (d) −8/1
  20. 20.Write −20/25 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −20/25 (d) 4/5
  21. 21.What is the additive inverse of −1/4? (a) 4 (b) −4 (c) 1/4 (d) −1/4
  22. 22.What is (−3/5) − 7/9? (a) 62/45 (b) −62/45 (c) 8/45 (d) −5/7
  23. 23.Which is bigger: −1/5 or −3/7? (a) −3/7 (b) −1/5
  24. 24.Write −14/16 in standard form (lowest terms, positive denominator). (a) −14/16 (b) −8/7 (c) −7/8 (d) 7/8
  25. 25.What is 3/4 + (−8/9)? (a) 59/36 (b) −5/36 (c) −5/13 (d) 5/36
  26. 26.Which is bigger: −4/5 or 1/6? (a) 1/6 (b) −4/5
  27. 27.What is (−2/7) + (−5/9)? (a) −53/63 (b) −7/16 (c) 53/63 (d) 17/63
  28. 28.Which is smaller: −7/9 or 2/9? (a) 2/9 (b) −7/9
  29. 29.Which is bigger: −1/5 or −2/5? (a) −1/5 (b) −2/5
  30. 30.What is 1/7 + (−3/4)? (a) −17/28 (b) 17/28 (c) 25/28 (d) −2/11
  31. 31.Is 4/7 positive or negative? (a) Positive (b) Negative
  32. 32.What is 2/3 − (−7/8)? (a) −37/24 (b) −5/24 (c) 37/24 (d) 9/11
  33. 33.Which is smaller: −2/7 or −3/4? (a) −3/4 (b) −2/7
  34. 34.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 1/3 (d) 3
  35. 35.What is (−5/7) − (−1/4)? (a) −13/28 (b) −4/11 (c) −27/28 (d) 13/28
  36. 36.What is (−2/7) + 4/9? (a) 1/8 (b) −10/63 (c) 10/63 (d) −46/63
  37. 37.Is 2/8 positive or negative? (a) Negative (b) Positive
  38. 38.What is 1/4 − (−1/6)? (a) 1/12 (b) 5/12 (c) −5/12 (d) 1/5
  39. 39.Write −4/28 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) −4/28 (d) 1/7
  40. 40.Write 12/(−27) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −12/27 (d) −9/4

Answer key

  1. −25/36
  2. −1/7
  3. −2/9
  4. Negative
  5. −7/40
  6. −4/5
  7. 11/14
  8. 0
  9. −5/4
  10. −3/8
  11. 1/8
  12. −4/7
  13. −1/5
  14. Negative
  15. 59/36
  16. −7/8
  17. −2/9
  18. −1/3
  19. −1/8
  20. −4/5
  21. 1/4
  22. −62/45
  23. −1/5
  24. −7/8
  25. −5/36
  26. 1/6
  27. −53/63
  28. −7/9
  29. −1/5
  30. −17/28
  31. Positive
  32. 37/24
  33. −3/4
  34. 3
  35. −13/28
  36. 10/63
  37. Positive
  38. 5/12
  39. −1/7
  40. −4/9

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