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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 36 · 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 − (−2/7)? (a) 2/7 (b) −4/7 (c) 4/7 (d) 0
  2. 2.Write −25/30 in standard form (lowest terms, positive denominator). (a) −25/30 (b) 5/6 (c) −5/6 (d) −6/5
  3. 3.Which is smaller: −5/9 or −3/4? (a) −3/4 (b) −5/9
  4. 4.Which is smaller: −6/7 or 2/9? (a) −6/7 (b) 2/9
  5. 5.Write 12/(−20) in standard form (lowest terms, positive denominator). (a) −12/20 (b) −3/5 (c) −5/3 (d) 3/5
  6. 6.What is the additive inverse of 4/9? (a) −4/9 (b) 4/9 (c) 9/4 (d) −9/4
  7. 7.What is (−5/8) − 5/7? (a) 5/56 (b) −2/3 (c) 75/56 (d) −75/56
  8. 8.Write 25/(−40) in standard form (lowest terms, positive denominator). (a) −8/5 (b) −25/40 (c) 5/8 (d) −5/8
  9. 9.Is −8/(−7) positive or negative? (a) Positive (b) Negative
  10. 10.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.Which is bigger: −1/2 or −5/9? (a) −5/9 (b) −1/2
  12. 12.Is 4/2 positive or negative? (a) Positive (b) Negative
  13. 13.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −7/1 (d) −6/42
  14. 14.What is (−2/3) − 1/4? (a) 11/12 (b) −5/12 (c) −3/7 (d) −11/12
  15. 15.What is (−1/9) + 2/9? (a) −1/9 (b) −1/3 (c) 1/18 (d) 1/9
  16. 16.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) −9/5 (c) −5/9 (d) 9/5
  17. 17.Which is smaller: −2/5 or 3/4? (a) −2/5 (b) 3/4
  18. 18.What is (−1/2) − (−1/6)? (a) 1/3 (b) −1/3 (c) −2/3 (d) 0
  19. 19.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −5/25 (c) 1/5 (d) −1/5
  20. 20.Which is smaller: −1/9 or 2/5? (a) 2/5 (b) −1/9
  21. 21.Is 8/6 positive or negative? (a) Negative (b) Positive
  22. 22.What is the additive inverse of −4/9? (a) −9/4 (b) 4/9 (c) 9/4 (d) −4/9
  23. 23.Write −10/18 in standard form (lowest terms, positive denominator). (a) −10/18 (b) −9/5 (c) −5/9 (d) 5/9
  24. 24.What is (−1/3) + 3/5? (a) −4/15 (b) 4/15 (c) −14/15 (d) 1/4
  25. 25.Which is smaller: −2/7 or −4/5? (a) −2/7 (b) −4/5
  26. 26.What is (−4/5) + (−3/5)? (a) 7/5 (b) −1/5 (c) −7/10 (d) −7/5
  27. 27.What is 2/5 + (−2/3)? (a) 4/15 (b) 16/15 (c) −4/15 (d) 0
  28. 28.Write 10/(−12) in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −10/12 (d) −5/6
  29. 29.What is (−3/4) + (−1/5)? (a) −19/20 (b) 19/20 (c) −11/20 (d) −4/9
  30. 30.Is 4/9 positive or negative? (a) Positive (b) Negative
  31. 31.Which is smaller: −4/7 or −2/9? (a) −2/9 (b) −4/7
  32. 32.Write 15/(−21) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −15/21 (c) −5/7 (d) −7/5
  33. 33.What is 1/9 + (−3/7)? (a) 34/63 (b) −20/63 (c) −1/8 (d) 20/63
  34. 34.Which is bigger: −2/5 or −2/7? (a) −2/5 (b) −2/7
  35. 35.What is the reciprocal (multiplicative inverse) of −1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  36. 36.Write −30/36 in standard form (lowest terms, positive denominator). (a) −6/5 (b) 5/6 (c) −5/6 (d) −30/36
  37. 37.What is the reciprocal (multiplicative inverse) of 4/5? (a) −4/5 (b) 5/4 (c) −5/4 (d) 4/5
  38. 38.Write −12/15 in standard form (lowest terms, positive denominator). (a) −5/4 (b) 4/5 (c) −4/5 (d) −12/15
  39. 39.What is (−1/7) − (−1/2)? (a) 5/14 (b) −5/14 (c) 0 (d) −9/14
  40. 40.Which is smaller: −5/8 or −3/4? (a) −3/4 (b) −5/8

Answer key

  1. 4/7
  2. −5/6
  3. −3/4
  4. −6/7
  5. −3/5
  6. −4/9
  7. −75/56
  8. −5/8
  9. Positive
  10. Negative
  11. −1/2
  12. Positive
  13. −1/7
  14. −11/12
  15. 1/9
  16. 9/5
  17. −2/5
  18. −1/3
  19. −1/5
  20. −1/9
  21. Positive
  22. 4/9
  23. −5/9
  24. 4/15
  25. −4/5
  26. −7/5
  27. −4/15
  28. −5/6
  29. −19/20
  30. Positive
  31. −4/7
  32. −5/7
  33. −20/63
  34. −2/7
  35. −2
  36. −5/6
  37. 5/4
  38. −4/5
  39. 5/14
  40. −3/4

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