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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 954 · 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 8/(−10) in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −8/10 (d) 4/5
  2. 2.What is (−3/5) − 1/6? (a) 23/30 (b) −4/11 (c) −13/30 (d) −23/30
  3. 3.What is (−1/8) − 5/6? (a) 17/24 (b) 23/24 (c) −3/7 (d) −23/24
  4. 4.Is −9/6 positive or negative? (a) Positive (b) Negative
  5. 5.What is (−1/5) − 2/7? (a) −1/4 (b) −17/35 (c) 3/35 (d) 17/35
  6. 6.What is (−4/5) − 2/3? (a) −3/4 (b) 22/15 (c) −22/15 (d) −2/15
  7. 7.Write 15/(−25) in standard form (lowest terms, positive denominator). (a) −5/3 (b) −15/25 (c) 3/5 (d) −3/5
  8. 8.Write 35/(−45) in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −35/45 (d) 7/9
  9. 9.Which is bigger: −1/7 or 4/7? (a) −1/7 (b) 4/7
  10. 10.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −7/9 (c) 9/7 (d) −9/7
  11. 11.Write 15/(−35) in standard form (lowest terms, positive denominator). (a) −7/3 (b) 3/7 (c) −15/35 (d) −3/7
  12. 12.What is the reciprocal (multiplicative inverse) of −1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  13. 13.What is the reciprocal (multiplicative inverse) of −4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  14. 14.Is 6/5 positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −2/3 or 7/9? (a) −2/3 (b) 7/9
  16. 16.What is (−1/7) + (−3/5)? (a) 16/35 (b) 26/35 (c) −1/3 (d) −26/35
  17. 17.Is −2/3 positive or negative? (a) Negative (b) Positive
  18. 18.What is the reciprocal (multiplicative inverse) of −5/9? (a) 5/9 (b) −9/5 (c) 9/5 (d) −5/9
  19. 19.What is (−7/9) + 3/7? (a) −22/63 (b) −1/4 (c) −76/63 (d) 22/63
  20. 20.Which is smaller: −2/3 or −1/9? (a) −1/9 (b) −2/3
  21. 21.What is 5/6 + (−3/4)? (a) 1/12 (b) 19/12 (c) −1/12 (d) 1/5
  22. 22.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −4/24
  23. 23.Which is bigger: −7/9 or −2/3? (a) −2/3 (b) −7/9
  24. 24.What is the reciprocal (multiplicative inverse) of −4/7? (a) 7/4 (b) −7/4 (c) −4/7 (d) 4/7
  25. 25.What is (−3/4) − (−5/6)? (a) 1/5 (b) −1/12 (c) 1/12 (d) −19/12
  26. 26.What is the reciprocal (multiplicative inverse) of −2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  27. 27.Which is bigger: −4/5 or 5/7? (a) 5/7 (b) −4/5
  28. 28.What is the additive inverse of 3/8? (a) −8/3 (b) −3/8 (c) 8/3 (d) 3/8
  29. 29.What is (−2/3) − (−2/3)? (a) −4/3 (b) 0
  30. 30.What is (−2/9) − 1/8? (a) −7/72 (b) −3/17 (c) −25/72 (d) 25/72
  31. 31.Which is smaller: −4/5 or −1/4? (a) −4/5 (b) −1/4
  32. 32.Which is smaller: −7/8 or 2/7? (a) 2/7 (b) −7/8
  33. 33.What is the reciprocal (multiplicative inverse) of −2/7? (a) 2/7 (b) −2/7 (c) −7/2 (d) 7/2
  34. 34.What is (−1/8) − (−1/5)? (a) −13/40 (b) 0 (c) 3/40 (d) −3/40
  35. 35.What is (−5/7) − 6/7? (a) 1/7 (b) 11/7 (c) −11/14 (d) −11/7
  36. 36.What is 3/7 − (−2/3)? (a) 1/2 (b) 23/21 (c) −5/21 (d) −23/21
  37. 37.What is (−3/4) + 5/8? (a) −1/8 (b) 1/8 (c) 1/6 (d) −11/8
  38. 38.Write 6/(−8) in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −3/4 (d) −6/8
  39. 39.What is (−6/7) − (−7/8)? (a) 1/56 (b) 1/15 (c) −1/56 (d) −97/56
  40. 40.What is 1/3 + (−4/7)? (a) −3/10 (b) 5/21 (c) 19/21 (d) −5/21

Answer key

  1. −4/5
  2. −23/30
  3. −23/24
  4. Negative
  5. −17/35
  6. −22/15
  7. −3/5
  8. −7/9
  9. 4/7
  10. −9/7
  11. −3/7
  12. −3
  13. −5/4
  14. Positive
  15. 7/9
  16. −26/35
  17. Negative
  18. −9/5
  19. −22/63
  20. −2/3
  21. 1/12
  22. −1/6
  23. −2/3
  24. −7/4
  25. 1/12
  26. −3/2
  27. 5/7
  28. −3/8
  29. 0
  30. −25/72
  31. −4/5
  32. −7/8
  33. −7/2
  34. 3/40
  35. −11/7
  36. 23/21
  37. −1/8
  38. −3/4
  39. 1/56
  40. −5/21

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