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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 204 · 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.Write 2/(−8) in standard form (lowest terms, positive denominator). (a) −2/8 (b) −1/4 (c) −4/1 (d) 1/4
  2. 2.What is (−7/9) − (−2/5)? (a) 17/45 (b) −53/45 (c) −17/45 (d) −5/14
  3. 3.What is 1/8 + (−2/9)? (a) 25/72 (b) −7/72 (c) −1/17 (d) 7/72
  4. 4.What is (−1/3) − 1/5? (a) −2/15 (b) −1/4 (c) −8/15 (d) 8/15
  5. 5.Which is bigger: −5/7 or 2/3? (a) −5/7 (b) 2/3
  6. 6.Write −6/54 in standard form (lowest terms, positive denominator). (a) 1/9 (b) −1/9 (c) −9/1 (d) −6/54
  7. 7.Which is smaller: −4/5 or −5/6? (a) −4/5 (b) −5/6
  8. 8.What is 7/8 + (−1/7)? (a) −41/56 (b) 2/5 (c) 41/56 (d) 57/56
  9. 9.What is (−1/2) + (−1/5)? (a) 7/10 (b) −2/7 (c) −3/10 (d) −7/10
  10. 10.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −12/21 (b) −7/4 (c) −4/7 (d) 4/7
  11. 11.Which is smaller: −7/8 or −5/7? (a) −5/7 (b) −7/8
  12. 12.What is 2/9 − (−4/5)? (a) 46/45 (b) 3/7 (c) −26/45 (d) −46/45
  13. 13.What is (−1/2) + (−4/9)? (a) −5/11 (b) −1/18 (c) −17/18 (d) 17/18
  14. 14.Write −6/42 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −6/42 (c) −1/7 (d) −7/1
  15. 15.Which is bigger: −1/9 or 1/4? (a) −1/9 (b) 1/4
  16. 16.What is (−3/8) + (−2/5)? (a) −5/13 (b) 31/40 (c) 1/40 (d) −31/40
  17. 17.What is (−3/8) + (−7/9)? (a) 83/72 (b) 29/72 (c) −83/72 (d) −10/17
  18. 18.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −5/45 (c) 1/9 (d) −1/9
  19. 19.Which is smaller: −5/6 or −4/5? (a) −5/6 (b) −4/5
  20. 20.Which is smaller: −2/7 or −1/4? (a) −1/4 (b) −2/7
  21. 21.What is the additive inverse of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  22. 22.Which is bigger: −1/6 or −7/9? (a) −7/9 (b) −1/6
  23. 23.What is 1/3 − (−2/7)? (a) 13/21 (b) 1/21 (c) −13/21 (d) 3/10
  24. 24.What is (−3/4) + 4/5? (a) −1/20 (b) −31/20 (c) 1/9 (d) 1/20
  25. 25.Which is smaller: −3/8 or −2/9? (a) −3/8 (b) −2/9
  26. 26.Write −12/18 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −12/18 (c) 2/3 (d) −2/3
  27. 27.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −2/6 (c) −3/1 (d) −1/3
  28. 28.Is 2/3 positive or negative? (a) Negative (b) Positive
  29. 29.What is the additive inverse of −2/3? (a) 3/2 (b) 2/3 (c) −2/3 (d) −3/2
  30. 30.What is the reciprocal (multiplicative inverse) of 2/3? (a) −3/2 (b) 2/3 (c) 3/2 (d) −2/3
  31. 31.What is (−5/6) + (−1/5)? (a) −31/30 (b) 31/30 (c) −19/30 (d) −6/11
  32. 32.What is (−1/5) − 1/9? (a) −14/45 (b) −4/45 (c) 14/45 (d) −1/7
  33. 33.Write −18/48 in standard form (lowest terms, positive denominator). (a) −18/48 (b) −8/3 (c) −3/8 (d) 3/8
  34. 34.What is (−2/5) + 5/9? (a) −7/45 (b) −43/45 (c) 3/14 (d) 7/45
  35. 35.Which is smaller: −3/4 or −4/5? (a) −3/4 (b) −4/5
  36. 36.Is 1/7 positive or negative? (a) Negative (b) Positive
  37. 37.What is the reciprocal (multiplicative inverse) of 1/6? (a) 6 (b) −6 (c) 1/6 (d) −1/6
  38. 38.Which is bigger: −1/3 or −7/9? (a) −1/3 (b) −7/9
  39. 39.Write −4/28 in standard form (lowest terms, positive denominator). (a) −7/1 (b) 1/7 (c) −4/28 (d) −1/7
  40. 40.Is 6/(−5) positive or negative? (a) Positive (b) Negative

Answer key

  1. −1/4
  2. −17/45
  3. −7/72
  4. −8/15
  5. 2/3
  6. −1/9
  7. −5/6
  8. 41/56
  9. −7/10
  10. −4/7
  11. −7/8
  12. 46/45
  13. −17/18
  14. −1/7
  15. 1/4
  16. −31/40
  17. −83/72
  18. −1/9
  19. −5/6
  20. −2/7
  21. −5/8
  22. −1/6
  23. 13/21
  24. 1/20
  25. −3/8
  26. −2/3
  27. −1/3
  28. Positive
  29. 2/3
  30. 3/2
  31. −31/30
  32. −14/45
  33. −3/8
  34. 7/45
  35. −4/5
  36. Positive
  37. 6
  38. −1/3
  39. −1/7
  40. Negative

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