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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 301 · 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 −15/25 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −15/25 (c) −5/3 (d) −3/5
  2. 2.What is (−5/7) − (−1/8)? (a) 33/56 (b) −33/56 (c) −4/15 (d) −47/56
  3. 3.What is 3/7 + (−2/3)? (a) 1/10 (b) 23/21 (c) 5/21 (d) −5/21
  4. 4.Is 8/6 positive or negative? (a) Negative (b) Positive
  5. 5.Write −4/6 in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) 2/3 (d) −3/2
  6. 6.What is (−4/9) − 3/5? (a) −47/45 (b) 7/45 (c) −1/2 (d) 47/45
  7. 7.Is −9/(−8) positive or negative? (a) Negative (b) Positive
  8. 8.Write −5/35 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −7/1 (c) −1/7 (d) −5/35
  9. 9.Which is smaller: −1/3 or 1/7? (a) 1/7 (b) −1/3
  10. 10.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −8/9 (c) 9/8 (d) −9/8
  11. 11.Is 2/(−3) positive or negative? (a) Negative (b) Positive
  12. 12.Which is bigger: −5/9 or 7/8? (a) −5/9 (b) 7/8
  13. 13.What is (−1/5) − (−5/8)? (a) 4/13 (b) −17/40 (c) −33/40 (d) 17/40
  14. 14.What is 4/7 + (−3/4)? (a) 1/11 (b) −5/28 (c) 5/28 (d) 37/28
  15. 15.Which is bigger: −2/7 or 7/9? (a) 7/9 (b) −2/7
  16. 16.What is 1/4 + (−4/9)? (a) 7/36 (b) 25/36 (c) −7/36 (d) −3/13
  17. 17.What is the additive inverse of −4/9? (a) 9/4 (b) −9/4 (c) −4/9 (d) 4/9
  18. 18.Write 9/(−21) in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −9/21 (d) −3/7
  19. 19.Write 6/(−48) in standard form (lowest terms, positive denominator). (a) −8/1 (b) −6/48 (c) −1/8 (d) 1/8
  20. 20.Write −30/54 in standard form (lowest terms, positive denominator). (a) −30/54 (b) −5/9 (c) −9/5 (d) 5/9
  21. 21.What is the reciprocal (multiplicative inverse) of −2/9? (a) 2/9 (b) −2/9 (c) 9/2 (d) −9/2
  22. 22.Which is smaller: −5/8 or −2/5? (a) −2/5 (b) −5/8
  23. 23.What is 7/9 + (−1/4)? (a) 6/13 (b) 19/36 (c) 37/36 (d) −19/36
  24. 24.Write −2/16 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −2/16 (c) 1/8 (d) −1/8
  25. 25.Which is bigger: −1/9 or −3/7? (a) −3/7 (b) −1/9
  26. 26.Which is bigger: −3/8 or −7/9? (a) −3/8 (b) −7/9
  27. 27.What is (−5/9) − 5/7? (a) 80/63 (b) −5/8 (c) −80/63 (d) 10/63
  28. 28.What is the reciprocal (multiplicative inverse) of 2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  29. 29.What is 5/8 − (−1/7)? (a) 27/56 (b) 2/5 (c) 43/56 (d) −43/56
  30. 30.What is (−4/5) + (−1/3)? (a) −17/15 (b) −5/8 (c) 17/15 (d) −7/15
  31. 31.Write −5/10 in standard form (lowest terms, positive denominator). (a) −5/10 (b) 1/2 (c) −1/2 (d) −2/1
  32. 32.Write −6/24 in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −6/24 (d) −4/1
  33. 33.What is the reciprocal (multiplicative inverse) of 4/7? (a) −7/4 (b) 4/7 (c) 7/4 (d) −4/7
  34. 34.Is −5/(−8) positive or negative? (a) Negative (b) Positive
  35. 35.What is (−3/8) + 5/9? (a) 2/17 (b) −13/72 (c) 13/72 (d) −67/72
  36. 36.What is (−5/9) + 5/9? (a) −10/9 (b) 0
  37. 37.Which is bigger: −4/9 or 2/7? (a) 2/7 (b) −4/9
  38. 38.What is the additive inverse of −3/8? (a) 3/8 (b) 8/3 (c) −8/3 (d) −3/8
  39. 39.What is 5/6 − (−5/6)? (a) −5/3 (b) 0 (c) 5/6 (d) 5/3
  40. 40.Which is smaller: −5/7 or 3/4? (a) −5/7 (b) 3/4

Answer key

  1. −3/5
  2. −33/56
  3. −5/21
  4. Positive
  5. −2/3
  6. −47/45
  7. Positive
  8. −1/7
  9. −1/3
  10. 9/8
  11. Negative
  12. 7/8
  13. 17/40
  14. −5/28
  15. 7/9
  16. −7/36
  17. 4/9
  18. −3/7
  19. −1/8
  20. −5/9
  21. −9/2
  22. −5/8
  23. 19/36
  24. −1/8
  25. −1/9
  26. −3/8
  27. −80/63
  28. 9/2
  29. 43/56
  30. −17/15
  31. −1/2
  32. −1/4
  33. 7/4
  34. Positive
  35. 13/72
  36. 0
  37. 2/7
  38. 3/8
  39. 5/3
  40. −5/7

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