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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 369 · 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 −7/8 positive or negative? (a) Negative (b) Positive
  2. 2.What is 2/9 − (−1/4)? (a) −17/36 (b) −1/36 (c) 3/13 (d) 17/36
  3. 3.What is 3/5 − (−4/7)? (a) 41/35 (b) 7/12 (c) 1/35 (d) −41/35
  4. 4.Write 4/(−32) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −4/32 (c) 1/8 (d) −1/8
  5. 5.Which is bigger: −2/7 or 1/2? (a) −2/7 (b) 1/2
  6. 6.Write 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) −14/18 (c) −7/9 (d) 7/9
  7. 7.What is the additive inverse of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  8. 8.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −18/24
  9. 9.Write −20/35 in standard form (lowest terms, positive denominator). (a) −20/35 (b) −7/4 (c) −4/7 (d) 4/7
  10. 10.Which is smaller: −3/5 or −5/8? (a) −5/8 (b) −3/5
  11. 11.Write −30/42 in standard form (lowest terms, positive denominator). (a) −30/42 (b) −5/7 (c) −7/5 (d) 5/7
  12. 12.What is the additive inverse of 3/8? (a) 8/3 (b) −3/8 (c) 3/8 (d) −8/3
  13. 13.What is (−1/8) + (−1/5)? (a) −2/13 (b) 13/40 (c) 3/40 (d) −13/40
  14. 14.What is (−6/7) − (−3/8)? (a) −69/56 (b) −27/56 (c) 27/56 (d) −1/5
  15. 15.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/25 (c) −5/1 (d) −1/5
  16. 16.Is 1/(−6) positive or negative? (a) Positive (b) Negative
  17. 17.Is 6/7 positive or negative? (a) Positive (b) Negative
  18. 18.Write −2/6 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −2/6 (d) −1/3
  19. 19.Is 5/8 positive or negative? (a) Negative (b) Positive
  20. 20.What is the reciprocal (multiplicative inverse) of 1/4? (a) 1/4 (b) −1/4 (c) −4 (d) 4
  21. 21.Write 9/(−12) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) −9/12 (d) 3/4
  22. 22.What is (−2/3) + 4/5? (a) −22/15 (b) 2/15 (c) −2/15 (d) 1/4
  23. 23.What is 1/2 + (−3/4)? (a) 1/4 (b) −1/3 (c) −1/4 (d) 5/4
  24. 24.What is 5/9 − (−5/6)? (a) −25/18 (b) 2/3 (c) 25/18 (d) −5/18
  25. 25.What is (−1/6) − (−2/9)? (a) −1/18 (b) −7/18 (c) 1/18 (d) 1/15
  26. 26.Which is smaller: −1/2 or −5/9? (a) −5/9 (b) −1/2
  27. 27.What is (−7/8) + 4/7? (a) −1/5 (b) 17/56 (c) −17/56 (d) −81/56
  28. 28.Which is bigger: −1/6 or −1/3? (a) −1/3 (b) −1/6
  29. 29.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) 5/8 (c) 8/5 (d) −5/8
  30. 30.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) −1/6 (b) −6/1 (c) 1/6 (d) −2/12
  31. 31.Which is bigger: −1/8 or −1/4? (a) −1/8 (b) −1/4
  32. 32.Is 7/(−3) positive or negative? (a) Positive (b) Negative
  33. 33.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −1/2 (d) −6/12
  34. 34.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−3/7) − 3/5? (a) 6/35 (b) −36/35 (c) −1/2 (d) 36/35
  36. 36.Is 7/(−8) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−3/5) + (−6/7)? (a) −3/4 (b) −51/35 (c) 51/35 (d) 9/35
  38. 38.What is (−7/8) + 5/7? (a) −89/56 (b) −2/15 (c) 9/56 (d) −9/56
  39. 39.Is 2/2 positive or negative? (a) Positive (b) Negative
  40. 40.Which is bigger: −5/8 or −1/8? (a) −5/8 (b) −1/8

Answer key

  1. Negative
  2. 17/36
  3. 41/35
  4. −1/8
  5. 1/2
  6. −7/9
  7. −1/4
  8. −3/4
  9. −4/7
  10. −5/8
  11. −5/7
  12. −3/8
  13. −13/40
  14. −27/56
  15. −1/5
  16. Negative
  17. Positive
  18. −1/3
  19. Positive
  20. 4
  21. −3/4
  22. 2/15
  23. −1/4
  24. 25/18
  25. 1/18
  26. −5/9
  27. −17/56
  28. −1/6
  29. 8/5
  30. −1/6
  31. −1/8
  32. Negative
  33. −1/2
  34. Positive
  35. −36/35
  36. Negative
  37. −51/35
  38. −9/56
  39. Positive
  40. −1/8

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