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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 758 · 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: −4/9 or 1/4? (a) −4/9 (b) 1/4
  2. 2.What is 3/5 + (−5/6)? (a) −2/11 (b) 7/30 (c) 43/30 (d) −7/30
  3. 3.What is 5/8 − (−1/6)? (a) 11/24 (b) −19/24 (c) 19/24 (d) 3/7
  4. 4.Write −4/32 in standard form (lowest terms, positive denominator). (a) −1/8 (b) −4/32 (c) −8/1 (d) 1/8
  5. 5.Is −2/9 positive or negative? (a) Positive (b) Negative
  6. 6.Write −3/15 in standard form (lowest terms, positive denominator). (a) −3/15 (b) −1/5 (c) 1/5 (d) −5/1
  7. 7.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −6/9 (d) −2/3
  8. 8.What is 2/3 − (−5/6)? (a) −3/2 (b) −1/6 (c) 3/2 (d) 7/9
  9. 9.Is 2/4 positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −4/5 or −2/5? (a) −2/5 (b) −4/5
  11. 11.Which is smaller: −7/8 or −3/5? (a) −3/5 (b) −7/8
  12. 12.Which is smaller: −1/6 or 8/9? (a) −1/6 (b) 8/9
  13. 13.What is (−1/7) + 5/8? (a) 4/15 (b) −43/56 (c) −27/56 (d) 27/56
  14. 14.Is −4/(−3) positive or negative? (a) Negative (b) Positive
  15. 15.What is (−4/9) + (−1/3)? (a) −7/9 (b) 7/9 (c) −1/9 (d) −5/12
  16. 16.Which is bigger: −7/8 or 8/9? (a) 8/9 (b) −7/8
  17. 17.Write 28/(−32) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −28/32 (c) 7/8 (d) −7/8
  18. 18.Is −1/(−8) positive or negative? (a) Negative (b) Positive
  19. 19.Write −9/15 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −9/15 (c) −3/5 (d) −5/3
  20. 20.Which is bigger: −2/9 or 1/8? (a) 1/8 (b) −2/9
  21. 21.Which is smaller: −1/4 or −2/7? (a) −1/4 (b) −2/7
  22. 22.What is (−4/7) + 5/7? (a) −9/7 (b) 1/14 (c) −1/7 (d) 1/7
  23. 23.Is −6/(−8) positive or negative? (a) Negative (b) Positive
  24. 24.What is (−3/4) − 5/7? (a) −41/28 (b) 41/28 (c) −8/11 (d) −1/28
  25. 25.What is (−1/9) − (−2/9)? (a) −1/9 (b) 1/18 (c) −1/3 (d) 1/9
  26. 26.Which is smaller: −2/9 or −4/9? (a) −2/9 (b) −4/9
  27. 27.What is (−4/7) − 4/5? (a) −2/3 (b) 48/35 (c) −48/35 (d) 8/35
  28. 28.Is −7/2 positive or negative? (a) Negative (b) Positive
  29. 29.Write −12/16 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −4/3 (c) −12/16 (d) 3/4
  30. 30.Is −3/2 positive or negative? (a) Negative (b) Positive
  31. 31.Which is smaller: −2/9 or −4/7? (a) −2/9 (b) −4/7
  32. 32.What is 1/9 + (−6/7)? (a) −5/16 (b) −47/63 (c) 61/63 (d) 47/63
  33. 33.Is 1/(−4) positive or negative? (a) Negative (b) Positive
  34. 34.What is 3/5 + (−2/7)? (a) 1/12 (b) 11/35 (c) −11/35 (d) 31/35
  35. 35.What is 5/7 + (−1/6)? (a) 4/13 (b) 37/42 (c) 23/42 (d) −23/42
  36. 36.What is (−2/3) + 8/9? (a) 1/2 (b) 2/9 (c) −14/9 (d) −2/9
  37. 37.What is the additive inverse of −4/7? (a) 7/4 (b) 4/7 (c) −4/7 (d) −7/4
  38. 38.What is (−2/9) + (−1/6)? (a) −1/18 (b) −1/5 (c) 7/18 (d) −7/18
  39. 39.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −2/3 (c) −3/2 (d) 3/2
  40. 40.Write −8/28 in standard form (lowest terms, positive denominator). (a) −8/28 (b) −2/7 (c) 2/7 (d) −7/2

Answer key

  1. 1/4
  2. −7/30
  3. 19/24
  4. −1/8
  5. Negative
  6. −1/5
  7. −2/3
  8. 3/2
  9. Positive
  10. −2/5
  11. −7/8
  12. −1/6
  13. 27/56
  14. Positive
  15. −7/9
  16. 8/9
  17. −7/8
  18. Positive
  19. −3/5
  20. 1/8
  21. −2/7
  22. 1/7
  23. Positive
  24. −41/28
  25. 1/9
  26. −4/9
  27. −48/35
  28. Negative
  29. −3/4
  30. Negative
  31. −4/7
  32. −47/63
  33. Negative
  34. 11/35
  35. 23/42
  36. 2/9
  37. 4/7
  38. −7/18
  39. 3/2
  40. −2/7

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