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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 218 · 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 1/3 − (−3/5)? (a) 14/15 (b) −14/15 (c) 1/2 (d) −4/15
  2. 2.Which is bigger: −4/9 or 1/7? (a) 1/7 (b) −4/9
  3. 3.What is 5/9 − (−2/9)? (a) −7/9 (b) 1/3 (c) 7/18 (d) 7/9
  4. 4.Which is bigger: −2/7 or −1/8? (a) −2/7 (b) −1/8
  5. 5.Which is bigger: −5/7 or −4/5? (a) −5/7 (b) −4/5
  6. 6.What is 4/9 − (−5/6)? (a) −7/18 (b) 3/5 (c) −23/18 (d) 23/18
  7. 7.Is −1/7 positive or negative? (a) Negative (b) Positive
  8. 8.Which is smaller: −7/9 or 2/5? (a) −7/9 (b) 2/5
  9. 9.What is (−1/6) − 3/5? (a) 23/30 (b) −23/30 (c) −4/11 (d) 13/30
  10. 10.Which is smaller: −2/5 or −6/7? (a) −2/5 (b) −6/7
  11. 11.What is the reciprocal (multiplicative inverse) of −1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  12. 12.Which is smaller: −1/5 or −3/8? (a) −3/8 (b) −1/5
  13. 13.What is (−7/9) + (−5/9)? (a) −4/3 (b) 4/3 (c) −2/9 (d) −2/3
  14. 14.What is (−1/2) + (−4/9)? (a) −17/18 (b) 17/18 (c) −1/18 (d) −5/11
  15. 15.Is −6/(−6) positive or negative? (a) Positive (b) Negative
  16. 16.Which is bigger: −2/5 or −3/8? (a) −2/5 (b) −3/8
  17. 17.What is the additive inverse of −2/9? (a) 9/2 (b) −9/2 (c) 2/9 (d) −2/9
  18. 18.What is (−4/5) + 2/5? (a) 2/5 (b) −1/5 (c) −6/5 (d) −2/5
  19. 19.Write 2/(−16) in standard form (lowest terms, positive denominator). (a) −1/8 (b) 1/8 (c) −2/16 (d) −8/1
  20. 20.Which is bigger: −1/6 or 5/8? (a) −1/6 (b) 5/8
  21. 21.Write −5/35 in standard form (lowest terms, positive denominator). (a) 1/7 (b) −5/35 (c) −7/1 (d) −1/7
  22. 22.What is (−4/7) − 1/8? (a) −39/56 (b) 39/56 (c) −25/56 (d) −1/3
  23. 23.Which is smaller: −2/5 or 5/7? (a) 5/7 (b) −2/5
  24. 24.What is (−1/8) − (−5/8)? (a) 1/2 (b) 1/4 (c) −3/4 (d) −1/2
  25. 25.Write 18/(−24) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −18/24 (c) 3/4 (d) −3/4
  26. 26.Write −5/25 in standard form (lowest terms, positive denominator). (a) −5/25 (b) −5/1 (c) −1/5 (d) 1/5
  27. 27.Is −6/9 positive or negative? (a) Positive (b) Negative
  28. 28.What is 2/5 + (−2/3)? (a) 16/15 (b) 0 (c) −4/15 (d) 4/15
  29. 29.What is the reciprocal (multiplicative inverse) of 1/7? (a) 7 (b) 1/7 (c) −1/7 (d) −7
  30. 30.What is the additive inverse of −3/5? (a) −5/3 (b) −3/5 (c) 3/5 (d) 5/3
  31. 31.Is −8/4 positive or negative? (a) Positive (b) Negative
  32. 32.What is (−1/7) + (−2/3)? (a) 17/21 (b) −3/10 (c) −17/21 (d) 11/21
  33. 33.What is (−5/9) − 1/7? (a) −44/63 (b) 44/63 (c) −3/8 (d) −26/63
  34. 34.What is (−6/7) + 2/9? (a) −1/4 (b) −40/63 (c) −68/63 (d) 40/63
  35. 35.Which is smaller: −5/7 or 1/3? (a) −5/7 (b) 1/3
  36. 36.What is (−1/3) + 4/5? (a) 3/8 (b) −17/15 (c) 7/15 (d) −7/15
  37. 37.What is the reciprocal (multiplicative inverse) of −5/6? (a) 5/6 (b) 6/5 (c) −6/5 (d) −5/6
  38. 38.Which is bigger: −1/4 or 3/8? (a) 3/8 (b) −1/4
  39. 39.What is 1/2 + (−4/7)? (a) −1/3 (b) 15/14 (c) −1/14 (d) 1/14
  40. 40.Which is smaller: −2/7 or −1/2? (a) −2/7 (b) −1/2

Answer key

  1. 14/15
  2. 1/7
  3. 7/9
  4. −1/8
  5. −5/7
  6. 23/18
  7. Negative
  8. −7/9
  9. −23/30
  10. −6/7
  11. −8
  12. −3/8
  13. −4/3
  14. −17/18
  15. Positive
  16. −3/8
  17. 2/9
  18. −2/5
  19. −1/8
  20. 5/8
  21. −1/7
  22. −39/56
  23. −2/5
  24. 1/2
  25. −3/4
  26. −1/5
  27. Negative
  28. −4/15
  29. 7
  30. 3/5
  31. Negative
  32. −17/21
  33. −44/63
  34. −40/63
  35. −5/7
  36. 7/15
  37. −6/5
  38. 3/8
  39. −1/14
  40. −1/2

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