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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 727 · 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: −7/9 or −1/7? (a) −1/7 (b) −7/9
  2. 2.Write 4/(−16) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/16 (c) −4/1 (d) −1/4
  3. 3.What is 3/8 − (−1/4)? (a) 5/8 (b) −5/8 (c) 1/3 (d) 1/8
  4. 4.What is (−8/9) + 1/8? (a) 55/72 (b) −55/72 (c) −73/72 (d) −7/17
  5. 5.Is −3/6 positive or negative? (a) Positive (b) Negative
  6. 6.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  7. 7.Is −4/4 positive or negative? (a) Positive (b) Negative
  8. 8.What is (−7/9) − 1/9? (a) −8/9 (b) −4/9 (c) 8/9 (d) −2/3
  9. 9.Which is bigger: −3/4 or −1/5? (a) −1/5 (b) −3/4
  10. 10.Which is smaller: −1/8 or −6/7? (a) −1/8 (b) −6/7
  11. 11.What is (−1/9) − 4/5? (a) 31/45 (b) −41/45 (c) 41/45 (d) −5/14
  12. 12.What is (−5/8) + (−1/9)? (a) −6/17 (b) 53/72 (c) −53/72 (d) −37/72
  13. 13.What is (−8/9) + (−3/8)? (a) −91/72 (b) 91/72 (c) −37/72 (d) −11/17
  14. 14.What is 2/3 − (−7/9)? (a) −1/9 (b) 3/4 (c) −13/9 (d) 13/9
  15. 15.What is (−1/8) + (−1/3)? (a) −11/24 (b) 5/24 (c) −2/11 (d) 11/24
  16. 16.What is the additive inverse of 3/8? (a) −8/3 (b) 8/3 (c) −3/8 (d) 3/8
  17. 17.What is 2/5 − (−7/8)? (a) 51/40 (b) −19/40 (c) 9/13 (d) −51/40
  18. 18.What is (−2/7) + 3/7? (a) 1/14 (b) −1/7 (c) 1/7 (d) −5/7
  19. 19.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) −5/2 (c) 2/5 (d) −2/5
  20. 20.What is (−1/7) + 4/5? (a) 1/4 (b) −23/35 (c) 23/35 (d) −33/35
  21. 21.What is the reciprocal (multiplicative inverse) of 8/9? (a) 9/8 (b) 8/9 (c) −8/9 (d) −9/8
  22. 22.What is 2/3 + (−4/9)? (a) 10/9 (b) −2/9 (c) 2/9 (d) −1/6
  23. 23.Write 15/(−18) in standard form (lowest terms, positive denominator). (a) −15/18 (b) −5/6 (c) 5/6 (d) −6/5
  24. 24.What is 1/4 − (−4/7)? (a) −9/28 (b) 5/11 (c) 23/28 (d) −23/28
  25. 25.Write 4/(−14) in standard form (lowest terms, positive denominator). (a) −2/7 (b) −7/2 (c) −4/14 (d) 2/7
  26. 26.Which is bigger: −5/7 or 3/7? (a) −5/7 (b) 3/7
  27. 27.What is the reciprocal (multiplicative inverse) of 1/3? (a) 3 (b) 1/3 (c) −1/3 (d) −3
  28. 28.What is the reciprocal (multiplicative inverse) of 5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  29. 29.What is 1/4 − (−1/6)? (a) −5/12 (b) 1/5 (c) 5/12 (d) 1/12
  30. 30.Write −10/12 in standard form (lowest terms, positive denominator). (a) −10/12 (b) −6/5 (c) 5/6 (d) −5/6
  31. 31.What is (−3/7) + (−2/9)? (a) 41/63 (b) −5/16 (c) −13/63 (d) −41/63
  32. 32.What is (−7/8) − 1/4? (a) −5/8 (b) −2/3 (c) 9/8 (d) −9/8
  33. 33.What is (−2/3) + 8/9? (a) −2/9 (b) 1/2 (c) −14/9 (d) 2/9
  34. 34.What is 3/7 − (−3/4)? (a) −33/28 (b) 33/28 (c) 6/11 (d) −9/28
  35. 35.Write −3/24 in standard form (lowest terms, positive denominator). (a) −3/24 (b) −8/1 (c) 1/8 (d) −1/8
  36. 36.Write 12/(−14) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −12/14 (c) 6/7 (d) −6/7
  37. 37.What is the additive inverse of 5/8? (a) 5/8 (b) 8/5 (c) −8/5 (d) −5/8
  38. 38.What is (−1/4) − (−1/3)? (a) −7/12 (b) −1/12 (c) 1/12 (d) 0
  39. 39.What is the reciprocal (multiplicative inverse) of 3/7? (a) −3/7 (b) −7/3 (c) 3/7 (d) 7/3
  40. 40.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −3/21 (c) −1/7 (d) −7/1

Answer key

  1. −1/7
  2. −1/4
  3. 5/8
  4. −55/72
  5. Negative
  6. Positive
  7. Negative
  8. −8/9
  9. −1/5
  10. −6/7
  11. −41/45
  12. −53/72
  13. −91/72
  14. 13/9
  15. −11/24
  16. −3/8
  17. 51/40
  18. 1/7
  19. −2/5
  20. 23/35
  21. 9/8
  22. 2/9
  23. −5/6
  24. 23/28
  25. −2/7
  26. 3/7
  27. 3
  28. 7/5
  29. 5/12
  30. −5/6
  31. −41/63
  32. −9/8
  33. 2/9
  34. 33/28
  35. −1/8
  36. −6/7
  37. −5/8
  38. 1/12
  39. 7/3
  40. −1/7

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