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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 215 · 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 smaller: −5/8 or 1/8? (a) −5/8 (b) 1/8
  2. 2.What is (−3/8) − 1/5? (a) −23/40 (b) −7/40 (c) −4/13 (d) 23/40
  3. 3.Which is smaller: −5/8 or 4/5? (a) −5/8 (b) 4/5
  4. 4.Write −4/10 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −5/2 (c) −4/10 (d) −2/5
  5. 5.Which is smaller: −1/9 or −4/9? (a) −4/9 (b) −1/9
  6. 6.Is −4/(−2) positive or negative? (a) Negative (b) Positive
  7. 7.Write 25/(−35) in standard form (lowest terms, positive denominator). (a) −7/5 (b) 5/7 (c) −25/35 (d) −5/7
  8. 8.Which is bigger: −5/6 or −2/7? (a) −2/7 (b) −5/6
  9. 9.Write 4/(−20) in standard form (lowest terms, positive denominator). (a) −5/1 (b) 1/5 (c) −1/5 (d) −4/20
  10. 10.What is 6/7 − (−4/7)? (a) 10/7 (b) 2/7 (c) −10/7 (d) 5/7
  11. 11.Write 4/(−6) in standard form (lowest terms, positive denominator). (a) −4/6 (b) −2/3 (c) −3/2 (d) 2/3
  12. 12.Which is smaller: −5/9 or −6/7? (a) −5/9 (b) −6/7
  13. 13.What is the reciprocal (multiplicative inverse) of −3/5? (a) −3/5 (b) 5/3 (c) 3/5 (d) −5/3
  14. 14.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) −12/42 (d) 2/7
  15. 15.Which is bigger: −3/8 or −1/4? (a) −3/8 (b) −1/4
  16. 16.What is (−1/9) − (−5/8)? (a) −37/72 (b) −53/72 (c) 37/72 (d) 4/17
  17. 17.Write 3/(−9) in standard form (lowest terms, positive denominator). (a) −3/9 (b) 1/3 (c) −1/3 (d) −3/1
  18. 18.Write −6/27 in standard form (lowest terms, positive denominator). (a) −9/2 (b) −6/27 (c) −2/9 (d) 2/9
  19. 19.What is (−2/7) − (−1/3)? (a) 1/21 (b) −13/21 (c) −1/21 (d) −1/10
  20. 20.Is −5/(−6) positive or negative? (a) Positive (b) Negative
  21. 21.Which is bigger: −7/8 or −3/7? (a) −3/7 (b) −7/8
  22. 22.What is (−1/4) − 1/5? (a) −9/20 (b) −1/20 (c) 9/20 (d) −2/9
  23. 23.Is −8/(−3) positive or negative? (a) Negative (b) Positive
  24. 24.What is 3/8 − (−5/9)? (a) 8/17 (b) 67/72 (c) −13/72 (d) −67/72
  25. 25.Which is bigger: −2/3 or 3/8? (a) 3/8 (b) −2/3
  26. 26.Write 5/(−30) in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −5/30 (d) −1/6
  27. 27.What is (−6/7) − 4/5? (a) −2/35 (b) −58/35 (c) −5/6 (d) 58/35
  28. 28.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) 4 (c) 1/4 (d) −1/4
  29. 29.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  30. 30.What is (−1/4) − (−1/8)? (a) 0 (b) −3/8 (c) −1/8 (d) 1/8
  31. 31.Write −15/20 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −3/4 (c) −4/3 (d) −15/20
  32. 32.What is 1/4 − (−1/8)? (a) 1/8 (b) −3/8 (c) 3/8 (d) 1/6
  33. 33.Which is smaller: −4/5 or 2/9? (a) 2/9 (b) −4/5
  34. 34.What is (−2/7) − (−4/9)? (a) 10/63 (b) −10/63 (c) 1/8 (d) −46/63
  35. 35.Is −8/(−8) positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −3/7 or 3/8? (a) −3/7 (b) 3/8
  37. 37.Write −10/35 in standard form (lowest terms, positive denominator). (a) −2/7 (b) −10/35 (c) −7/2 (d) 2/7
  38. 38.What is (−1/8) − 1/5? (a) 13/40 (b) −2/13 (c) −13/40 (d) 3/40
  39. 39.What is 1/4 + (−1/9)? (a) 13/36 (b) 0 (c) −5/36 (d) 5/36
  40. 40.What is (−4/7) + 5/8? (a) 1/15 (b) 3/56 (c) −3/56 (d) −67/56

Answer key

  1. −5/8
  2. −23/40
  3. −5/8
  4. −2/5
  5. −4/9
  6. Positive
  7. −5/7
  8. −2/7
  9. −1/5
  10. 10/7
  11. −2/3
  12. −6/7
  13. −5/3
  14. −2/7
  15. −1/4
  16. 37/72
  17. −1/3
  18. −2/9
  19. 1/21
  20. Positive
  21. −3/7
  22. −9/20
  23. Positive
  24. 67/72
  25. 3/8
  26. −1/6
  27. −58/35
  28. 4
  29. 3
  30. −1/8
  31. −3/4
  32. 3/8
  33. −4/5
  34. 10/63
  35. Positive
  36. 3/8
  37. −2/7
  38. −13/40
  39. 5/36
  40. 3/56

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