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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 442 · 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 (−1/8) + (−6/7)? (a) 55/56 (b) 41/56 (c) −7/15 (d) −55/56
  2. 2.Write −10/25 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −2/5 (c) −5/2 (d) −10/25
  3. 3.What is 1/8 + (−2/3)? (a) −13/24 (b) 13/24 (c) −1/11 (d) 19/24
  4. 4.Which is bigger: −7/8 or −3/5? (a) −3/5 (b) −7/8
  5. 5.What is (−1/5) + (−4/7)? (a) −27/35 (b) 27/35 (c) 13/35 (d) −5/12
  6. 6.What is (−1/3) − 5/7? (a) 22/21 (b) −22/21 (c) −3/5 (d) 8/21
  7. 7.Which is bigger: −1/9 or −1/3? (a) −1/3 (b) −1/9
  8. 8.What is (−3/5) + (−2/3)? (a) 19/15 (b) −5/8 (c) 1/15 (d) −19/15
  9. 9.Is 1/7 positive or negative? (a) Positive (b) Negative
  10. 10.Write −21/27 in standard form (lowest terms, positive denominator). (a) 7/9 (b) −7/9 (c) −9/7 (d) −21/27
  11. 11.Is −2/(−3) positive or negative? (a) Negative (b) Positive
  12. 12.What is (−2/7) − (−3/4)? (a) −13/28 (b) 13/28 (c) 1/11 (d) −29/28
  13. 13.Write 24/(−27) in standard form (lowest terms, positive denominator). (a) −24/27 (b) −8/9 (c) 8/9 (d) −9/8
  14. 14.What is 8/9 − (−3/7)? (a) 83/63 (b) 11/16 (c) −83/63 (d) 29/63
  15. 15.Which is bigger: −1/8 or 2/9? (a) 2/9 (b) −1/8
  16. 16.What is (−2/5) + (−2/3)? (a) 16/15 (b) −1/2 (c) −16/15 (d) 4/15
  17. 17.Write 10/(−45) in standard form (lowest terms, positive denominator). (a) −10/45 (b) −9/2 (c) −2/9 (d) 2/9
  18. 18.Which is bigger: −3/5 or 3/8? (a) 3/8 (b) −3/5
  19. 19.What is (−5/6) − 3/8? (a) 29/24 (b) −29/24 (c) −4/7 (d) −11/24
  20. 20.What is the reciprocal (multiplicative inverse) of 5/9? (a) −5/9 (b) 5/9 (c) 9/5 (d) −9/5
  21. 21.What is 1/8 + (−5/9)? (a) −31/72 (b) −4/17 (c) 49/72 (d) 31/72
  22. 22.Write −21/24 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −8/7 (c) 7/8 (d) −21/24
  23. 23.What is the additive inverse of 1/4? (a) −1/4 (b) 1/4 (c) 4 (d) −4
  24. 24.Is −2/8 positive or negative? (a) Positive (b) Negative
  25. 25.Which is smaller: −4/7 or 3/4? (a) 3/4 (b) −4/7
  26. 26.Write −10/14 in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −10/14 (d) −7/5
  27. 27.What is the reciprocal (multiplicative inverse) of 4/9? (a) 9/4 (b) −9/4 (c) 4/9 (d) −4/9
  28. 28.Write −6/8 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −6/8 (d) −3/4
  29. 29.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  30. 30.What is the additive inverse of 2/3? (a) 3/2 (b) −2/3 (c) 2/3 (d) −3/2
  31. 31.What is the additive inverse of 5/6? (a) −5/6 (b) 6/5 (c) 5/6 (d) −6/5
  32. 32.What is 4/5 + (−3/8)? (a) 17/40 (b) 1/13 (c) 47/40 (d) −17/40
  33. 33.Write 6/(−54) in standard form (lowest terms, positive denominator). (a) −1/9 (b) −6/54 (c) 1/9 (d) −9/1
  34. 34.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) −4/9 (b) −24/54 (c) −9/4 (d) 4/9
  35. 35.Is 2/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.Is −2/9 positive or negative? (a) Negative (b) Positive
  37. 37.Is 5/4 positive or negative? (a) Negative (b) Positive
  38. 38.What is (−6/7) + (−1/3)? (a) −7/10 (b) −25/21 (c) 25/21 (d) −11/21
  39. 39.Which is bigger: −2/9 or 2/7? (a) 2/7 (b) −2/9
  40. 40.What is (−5/9) − (−5/9)? (a) −10/9 (b) 0

Answer key

  1. −55/56
  2. −2/5
  3. −13/24
  4. −3/5
  5. −27/35
  6. −22/21
  7. −1/9
  8. −19/15
  9. Positive
  10. −7/9
  11. Positive
  12. 13/28
  13. −8/9
  14. 83/63
  15. 2/9
  16. −16/15
  17. −2/9
  18. 3/8
  19. −29/24
  20. 9/5
  21. −31/72
  22. −7/8
  23. −1/4
  24. Negative
  25. −4/7
  26. −5/7
  27. 9/4
  28. −3/4
  29. Negative
  30. −2/3
  31. −5/6
  32. 17/40
  33. −1/9
  34. −4/9
  35. Negative
  36. Negative
  37. Positive
  38. −25/21
  39. 2/7
  40. 0

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