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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 582 · 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 (−3/8) + (−1/3)? (a) −4/11 (b) −1/24 (c) −17/24 (d) 17/24
  2. 2.Write −12/30 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −12/30 (c) −2/5 (d) −5/2
  3. 3.Which is smaller: −2/9 or −2/5? (a) −2/9 (b) −2/5
  4. 4.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −4/16 (c) −1/4 (d) 1/4
  5. 5.What is the reciprocal (multiplicative inverse) of 7/9? (a) 7/9 (b) −9/7 (c) −7/9 (d) 9/7
  6. 6.What is (−1/9) − (−1/4)? (a) −13/36 (b) 5/36 (c) −5/36 (d) 0
  7. 7.What is (−1/2) + 3/8? (a) 1/8 (b) 1/5 (c) −1/8 (d) −7/8
  8. 8.Which is bigger: −5/7 or −8/9? (a) −8/9 (b) −5/7
  9. 9.What is 3/8 − (−7/8)? (a) −1/2 (b) 5/8 (c) 5/4 (d) −5/4
  10. 10.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) −9/5 (c) −5/9 (d) 5/9
  11. 11.What is (−1/7) − 5/7? (a) −3/7 (b) −6/7 (c) 6/7 (d) 4/7
  12. 12.What is (−5/8) + 1/4? (a) −7/8 (b) −3/8 (c) −1/3 (d) 3/8
  13. 13.What is 8/9 + (−1/9)? (a) 7/18 (b) −7/9 (c) 1 (d) 7/9
  14. 14.Write −18/30 in standard form (lowest terms, positive denominator). (a) −5/3 (b) 3/5 (c) −3/5 (d) −18/30
  15. 15.Is −3/(−7) positive or negative? (a) Negative (b) Positive
  16. 16.What is the additive inverse of 2/7? (a) −7/2 (b) 2/7 (c) −2/7 (d) 7/2
  17. 17.What is (−1/8) + (−2/7)? (a) 9/56 (b) −23/56 (c) −1/5 (d) 23/56
  18. 18.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) 5/9 (b) −20/36 (c) −5/9 (d) −9/5
  19. 19.Which is smaller: −2/3 or −1/3? (a) −1/3 (b) −2/3
  20. 20.Is 4/8 positive or negative? (a) Positive (b) Negative
  21. 21.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −12/14 (d) 6/7
  22. 22.What is 3/7 − (−4/9)? (a) 7/16 (b) −55/63 (c) 55/63 (d) −1/63
  23. 23.What is (−3/5) − 3/4? (a) −2/3 (b) 3/20 (c) −27/20 (d) 27/20
  24. 24.Write −25/40 in standard form (lowest terms, positive denominator). (a) −25/40 (b) −5/8 (c) −8/5 (d) 5/8
  25. 25.What is the reciprocal (multiplicative inverse) of 6/7? (a) 7/6 (b) −7/6 (c) 6/7 (d) −6/7
  26. 26.What is 2/9 − (−3/5)? (a) 5/14 (b) 37/45 (c) −37/45 (d) −17/45
  27. 27.Write −3/12 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −3/12 (c) −1/4 (d) 1/4
  28. 28.Which is bigger: −3/7 or 4/9? (a) 4/9 (b) −3/7
  29. 29.Which is bigger: −3/5 or 1/9? (a) −3/5 (b) 1/9
  30. 30.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −6/42
  31. 31.What is 4/5 + (−3/5)? (a) −1/5 (b) 7/5 (c) 1/10 (d) 1/5
  32. 32.Which is smaller: −1/5 or −1/3? (a) −1/3 (b) −1/5
  33. 33.Which is smaller: −1/9 or −4/7? (a) −4/7 (b) −1/9
  34. 34.What is 3/5 − (−2/7)? (a) 31/35 (b) 11/35 (c) −31/35 (d) 5/12
  35. 35.What is the reciprocal (multiplicative inverse) of −3/7? (a) 3/7 (b) −3/7 (c) −7/3 (d) 7/3
  36. 36.What is (−3/7) + (−4/7)? (a) 1/7 (b) 1 (c) −1/2 (d) −1
  37. 37.Which is smaller: −1/2 or −1/5? (a) −1/5 (b) −1/2
  38. 38.What is (−4/7) + 5/8? (a) −3/56 (b) 3/56 (c) 1/15 (d) −67/56
  39. 39.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) −12/15 (b) 4/5 (c) −5/4 (d) −4/5
  40. 40.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −12/30 (b) 2/5 (c) −5/2 (d) −2/5

Answer key

  1. −17/24
  2. −2/5
  3. −2/5
  4. −1/4
  5. 9/7
  6. 5/36
  7. −1/8
  8. −5/7
  9. 5/4
  10. −5/9
  11. −6/7
  12. −3/8
  13. 7/9
  14. −3/5
  15. Positive
  16. −2/7
  17. −23/56
  18. −5/9
  19. −2/3
  20. Positive
  21. −6/7
  22. 55/63
  23. −27/20
  24. −5/8
  25. 7/6
  26. 37/45
  27. −1/4
  28. 4/9
  29. 1/9
  30. −1/7
  31. 1/5
  32. −1/3
  33. −4/7
  34. 31/35
  35. −7/3
  36. −1
  37. −1/2
  38. 3/56
  39. −4/5
  40. −2/5

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