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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 244 · 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.Which is bigger: −2/3 or −1/5? (a) −1/5 (b) −2/3
  2. 2.What is (−1/6) + (−2/5)? (a) 7/30 (b) −3/11 (c) −17/30 (d) 17/30
  3. 3.Write −18/48 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) −18/48 (d) 3/8
  4. 4.Is −7/(−2) positive or negative? (a) Positive (b) Negative
  5. 5.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) −1/2 (c) 1/2 (d) −2/1
  6. 6.Write −30/54 in standard form (lowest terms, positive denominator). (a) −30/54 (b) 5/9 (c) −9/5 (d) −5/9
  7. 7.What is 5/8 − (−1/9)? (a) 37/72 (b) −53/72 (c) 6/17 (d) 53/72
  8. 8.Which is smaller: −1/2 or −4/9? (a) −4/9 (b) −1/2
  9. 9.What is (−3/5) + (−2/3)? (a) −5/8 (b) −19/15 (c) 19/15 (d) 1/15
  10. 10.What is (−2/9) − 2/3? (a) 8/9 (b) −1/3 (c) 4/9 (d) −8/9
  11. 11.Write −4/28 in standard form (lowest terms, positive denominator). (a) −4/28 (b) −1/7 (c) −7/1 (d) 1/7
  12. 12.Which is smaller: −5/9 or −3/8? (a) −3/8 (b) −5/9
  13. 13.What is (−7/9) − 8/9? (a) 1/9 (b) 5/3 (c) −5/3 (d) −5/6
  14. 14.Is −4/7 positive or negative? (a) Positive (b) Negative
  15. 15.What is (−3/5) − 1/3? (a) −1/2 (b) −14/15 (c) −4/15 (d) 14/15
  16. 16.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −1/5 (b) −5/1 (c) −4/20 (d) 1/5
  17. 17.What is (−4/9) + 4/5? (a) 16/45 (b) 0 (c) −56/45 (d) −16/45
  18. 18.What is (−5/9) + 3/5? (a) −2/45 (b) −1/7 (c) 2/45 (d) −52/45
  19. 19.Which is bigger: −5/8 or −7/8? (a) −7/8 (b) −5/8
  20. 20.What is the reciprocal (multiplicative inverse) of −3/5? (a) 5/3 (b) 3/5 (c) −5/3 (d) −3/5
  21. 21.Which is smaller: −2/5 or 1/4? (a) 1/4 (b) −2/5
  22. 22.Which is smaller: −5/9 or 1/6? (a) 1/6 (b) −5/9
  23. 23.What is (−1/2) + 1/3? (a) −1/6 (b) 0 (c) −5/6 (d) 1/6
  24. 24.Write 3/(−12) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −3/12 (d) −1/4
  25. 25.Write −35/45 in standard form (lowest terms, positive denominator). (a) −35/45 (b) −9/7 (c) 7/9 (d) −7/9
  26. 26.What is the additive inverse of 4/5? (a) 4/5 (b) 5/4 (c) −5/4 (d) −4/5
  27. 27.Is −3/3 positive or negative? (a) Positive (b) Negative
  28. 28.What is (−1/2) + (−2/9)? (a) 13/18 (b) −3/11 (c) −5/18 (d) −13/18
  29. 29.Write 24/(−30) in standard form (lowest terms, positive denominator). (a) −24/30 (b) −5/4 (c) −4/5 (d) 4/5
  30. 30.Write −2/14 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −2/14 (c) −1/7 (d) −7/1
  31. 31.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  32. 32.Write 12/(−15) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −12/15 (d) −4/5
  33. 33.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −2/3 (b) −4/6 (c) 2/3 (d) −3/2
  34. 34.What is (−3/5) + 4/7? (a) 1/12 (b) −1/35 (c) 1/35 (d) −41/35
  35. 35.What is the reciprocal (multiplicative inverse) of 2/5? (a) −5/2 (b) −2/5 (c) 5/2 (d) 2/5
  36. 36.Which is bigger: −7/9 or 3/4? (a) 3/4 (b) −7/9
  37. 37.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −5/7 (c) 7/5 (d) −7/5
  38. 38.What is the additive inverse of 1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  39. 39.What is (−4/5) − 1/2? (a) 13/10 (b) −3/10 (c) −13/10 (d) −5/7
  40. 40.Write −5/45 in standard form (lowest terms, positive denominator). (a) −5/45 (b) 1/9 (c) −9/1 (d) −1/9

Answer key

  1. −1/5
  2. −17/30
  3. −3/8
  4. Positive
  5. −1/2
  6. −5/9
  7. 53/72
  8. −1/2
  9. −19/15
  10. −8/9
  11. −1/7
  12. −5/9
  13. −5/3
  14. Negative
  15. −14/15
  16. −1/5
  17. 16/45
  18. 2/45
  19. −5/8
  20. −5/3
  21. −2/5
  22. −5/9
  23. −1/6
  24. −1/4
  25. −7/9
  26. −4/5
  27. Negative
  28. −13/18
  29. −4/5
  30. −1/7
  31. Positive
  32. −4/5
  33. −2/3
  34. −1/35
  35. 5/2
  36. 3/4
  37. −7/5
  38. −1/5
  39. −13/10
  40. −1/9

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