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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 837 · 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 −25/35 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −25/35 (c) −7/5 (d) 5/7
  2. 2.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −4/5 (d) −8/10
  3. 3.What is (−1/2) + 1/6? (a) 1/3 (b) −1/3 (c) 0 (d) −2/3
  4. 4.What is 3/4 + (−1/5)? (a) −11/20 (b) 19/20 (c) 2/9 (d) 11/20
  5. 5.What is the reciprocal (multiplicative inverse) of 8/9? (a) 8/9 (b) −9/8 (c) −8/9 (d) 9/8
  6. 6.Which is bigger: −3/4 or −5/8? (a) −5/8 (b) −3/4
  7. 7.Which is bigger: −6/7 or −4/5? (a) −6/7 (b) −4/5
  8. 8.What is the reciprocal (multiplicative inverse) of 1/9? (a) 9 (b) −9 (c) 1/9 (d) −1/9
  9. 9.What is the additive inverse of −1/5? (a) −1/5 (b) −5 (c) 1/5 (d) 5
  10. 10.What is (−1/4) − (−2/3)? (a) 1/7 (b) −5/12 (c) 5/12 (d) −11/12
  11. 11.Write −12/42 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −12/42
  12. 12.Write 6/(−9) in standard form (lowest terms, positive denominator). (a) −6/9 (b) −2/3 (c) −3/2 (d) 2/3
  13. 13.What is (−3/5) + 6/7? (a) −51/35 (b) 1/4 (c) 9/35 (d) −9/35
  14. 14.What is 5/9 − (−8/9)? (a) 13/18 (b) 13/9 (c) −13/9 (d) −1/3
  15. 15.Which is bigger: −7/8 or 5/7? (a) −7/8 (b) 5/7
  16. 16.Is 1/8 positive or negative? (a) Positive (b) Negative
  17. 17.Which is bigger: −1/6 or −1/5? (a) −1/5 (b) −1/6
  18. 18.Is −8/(−4) positive or negative? (a) Positive (b) Negative
  19. 19.What is 3/5 − (−5/9)? (a) 4/7 (b) −52/45 (c) 2/45 (d) 52/45
  20. 20.Which is bigger: −3/4 or −1/8? (a) −3/4 (b) −1/8
  21. 21.Is −5/(−8) positive or negative? (a) Positive (b) Negative
  22. 22.Which is smaller: −2/5 or 4/9? (a) 4/9 (b) −2/5
  23. 23.What is the additive inverse of 5/6? (a) −6/5 (b) 6/5 (c) 5/6 (d) −5/6
  24. 24.What is (−2/7) + (−8/9)? (a) 74/63 (b) −5/8 (c) 38/63 (d) −74/63
  25. 25.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) 1/4 (b) −6/24 (c) −1/4 (d) −4/1
  26. 26.Is 7/2 positive or negative? (a) Negative (b) Positive
  27. 27.What is (−3/5) − (−5/7)? (a) −4/35 (b) 4/35 (c) −46/35 (d) 1/6
  28. 28.Is 6/4 positive or negative? (a) Positive (b) Negative
  29. 29.Is −6/3 positive or negative? (a) Positive (b) Negative
  30. 30.Which is smaller: −2/3 or −7/8? (a) −2/3 (b) −7/8
  31. 31.Is 6/5 positive or negative? (a) Negative (b) Positive
  32. 32.What is the additive inverse of 1/3? (a) −1/3 (b) 3 (c) −3 (d) 1/3
  33. 33.Which is bigger: −2/9 or 1/3? (a) −2/9 (b) 1/3
  34. 34.Is −7/5 positive or negative? (a) Positive (b) Negative
  35. 35.What is (−4/7) − 7/9? (a) 85/63 (b) −85/63 (c) 13/63 (d) −11/16
  36. 36.What is 2/3 − (−1/4)? (a) 3/7 (b) −11/12 (c) 5/12 (d) 11/12
  37. 37.What is 3/8 − (−4/5)? (a) 7/13 (b) 47/40 (c) −47/40 (d) −17/40
  38. 38.What is (−4/5) − (−8/9)? (a) −4/45 (b) −76/45 (c) 2/7 (d) 4/45
  39. 39.Which is bigger: −1/9 or −1/5? (a) −1/5 (b) −1/9
  40. 40.Write −12/16 in standard form (lowest terms, positive denominator). (a) −12/16 (b) −3/4 (c) −4/3 (d) 3/4

Answer key

  1. −5/7
  2. −4/5
  3. −1/3
  4. 11/20
  5. 9/8
  6. −5/8
  7. −4/5
  8. 9
  9. 1/5
  10. 5/12
  11. −2/7
  12. −2/3
  13. 9/35
  14. 13/9
  15. 5/7
  16. Positive
  17. −1/6
  18. Positive
  19. 52/45
  20. −1/8
  21. Positive
  22. −2/5
  23. −5/6
  24. −74/63
  25. −1/4
  26. Positive
  27. 4/35
  28. Positive
  29. Negative
  30. −7/8
  31. Positive
  32. −1/3
  33. 1/3
  34. Negative
  35. −85/63
  36. 11/12
  37. 47/40
  38. 4/45
  39. −1/9
  40. −3/4

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