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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 866 · 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 4/5 + (−3/5)? (a) 7/5 (b) 1/10 (c) −1/5 (d) 1/5
  2. 2.Which is smaller: −1/3 or −7/9? (a) −7/9 (b) −1/3
  3. 3.What is (−5/8) + (−2/9)? (a) −7/17 (b) −29/72 (c) −61/72 (d) 61/72
  4. 4.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/1 (b) −5/25 (c) −1/5 (d) 1/5
  5. 5.What is the reciprocal (multiplicative inverse) of −1/5? (a) 1/5 (b) 5 (c) −1/5 (d) −5
  6. 6.What is (−3/4) − 1/4? (a) 1 (b) −1 (c) −1/2
  7. 7.Which is smaller: −2/7 or −1/2? (a) −2/7 (b) −1/2
  8. 8.What is (−5/6) + 5/9? (a) 5/18 (b) −25/18 (c) −5/18 (d) 0
  9. 9.Is −9/2 positive or negative? (a) Positive (b) Negative
  10. 10.Write −12/42 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −12/42
  11. 11.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) −18/24 (d) 3/4
  12. 12.What is (−5/7) − (−3/8)? (a) −19/56 (b) −61/56 (c) −2/15 (d) 19/56
  13. 13.What is (−7/8) + (−5/6)? (a) −1/24 (b) −41/24 (c) −6/7 (d) 41/24
  14. 14.Which is smaller: −1/6 or 3/7? (a) 3/7 (b) −1/6
  15. 15.Is −4/(−5) positive or negative? (a) Negative (b) Positive
  16. 16.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −6/24 (b) −1/4 (c) −4/1 (d) 1/4
  17. 17.Which is bigger: −3/8 or 5/6? (a) 5/6 (b) −3/8
  18. 18.What is 1/3 − (−1/2)? (a) 2/5 (b) −5/6 (c) 5/6 (d) −1/6
  19. 19.Which is bigger: −1/6 or −1/5? (a) −1/5 (b) −1/6
  20. 20.What is 4/7 + (−8/9)? (a) 20/63 (b) −20/63 (c) 92/63 (d) −1/4
  21. 21.What is the additive inverse of −1/6? (a) −1/6 (b) 1/6 (c) −6 (d) 6
  22. 22.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −1/6 (b) 1/6 (c) −6/1 (d) −4/24
  23. 23.What is (−4/7) − 2/5? (a) −6/35 (b) −1/2 (c) 34/35 (d) −34/35
  24. 24.Which is bigger: −3/8 or 2/7? (a) −3/8 (b) 2/7
  25. 25.What is (−2/5) + 1/9? (a) −23/45 (b) 13/45 (c) −13/45 (d) −1/14
  26. 26.What is 1/4 − (−6/7)? (a) −17/28 (b) 7/11 (c) 31/28 (d) −31/28
  27. 27.Is 3/8 positive or negative? (a) Positive (b) Negative
  28. 28.Is 9/(−5) positive or negative? (a) Positive (b) Negative
  29. 29.What is (−2/7) − 1/6? (a) −3/13 (b) 19/42 (c) −5/42 (d) −19/42
  30. 30.What is the reciprocal (multiplicative inverse) of −3/4? (a) 3/4 (b) 4/3 (c) −3/4 (d) −4/3
  31. 31.Write −6/36 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −6/36 (d) −1/6
  32. 32.What is (−1/6) + 4/9? (a) −11/18 (b) 5/18 (c) 1/5 (d) −5/18
  33. 33.What is (−2/3) − (−4/9)? (a) 2/9 (b) −10/9 (c) 1/6 (d) −2/9
  34. 34.What is (−1/3) + 3/5? (a) −14/15 (b) −4/15 (c) 4/15 (d) 1/4
  35. 35.What is the additive inverse of 5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  36. 36.Is 3/(−6) positive or negative? (a) Negative (b) Positive
  37. 37.What is (−1/8) − (−5/9)? (a) −49/72 (b) −31/72 (c) 31/72 (d) 4/17
  38. 38.What is (−1/3) − (−3/4)? (a) 5/12 (b) −13/12 (c) −5/12 (d) 2/7
  39. 39.Is 8/2 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−3/8) − 1/3? (a) −1/24 (b) −4/11 (c) −17/24 (d) 17/24

Answer key

  1. 1/5
  2. −7/9
  3. −61/72
  4. −1/5
  5. −5
  6. −1
  7. −1/2
  8. −5/18
  9. Negative
  10. −2/7
  11. −3/4
  12. −19/56
  13. −41/24
  14. −1/6
  15. Positive
  16. −1/4
  17. 5/6
  18. 5/6
  19. −1/6
  20. −20/63
  21. 1/6
  22. −1/6
  23. −34/35
  24. 2/7
  25. −13/45
  26. 31/28
  27. Positive
  28. Negative
  29. −19/42
  30. −4/3
  31. −1/6
  32. 5/18
  33. −2/9
  34. 4/15
  35. −5/8
  36. Negative
  37. 31/72
  38. 5/12
  39. Positive
  40. −17/24

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