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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 950 · 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 −18/21 in standard form (lowest terms, positive denominator). (a) 6/7 (b) −7/6 (c) −18/21 (d) −6/7
  2. 2.Write −21/24 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −8/7 (d) −21/24
  3. 3.What is (−7/8) + (−7/8)? (a) 7/4 (b) −7/8 (c) 0 (d) −7/4
  4. 4.What is (−5/6) + 2/3? (a) 1/6 (b) −1/3 (c) −3/2 (d) −1/6
  5. 5.What is 4/5 − (−4/9)? (a) −56/45 (b) 56/45 (c) 4/7 (d) 16/45
  6. 6.What is 6/7 + (−1/3)? (a) −11/21 (b) 25/21 (c) 11/21 (d) 1/2
  7. 7.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −32/36 (d) −8/9
  8. 8.Is −8/(−4) positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −1/7 or 8/9? (a) −1/7 (b) 8/9
  10. 10.What is (−3/5) + (−1/2)? (a) −4/7 (b) −1/10 (c) 11/10 (d) −11/10
  11. 11.Which is bigger: −3/4 or −2/5? (a) −3/4 (b) −2/5
  12. 12.Write −15/20 in standard form (lowest terms, positive denominator). (a) −15/20 (b) 3/4 (c) −4/3 (d) −3/4
  13. 13.What is 3/5 − (−1/6)? (a) 13/30 (b) −23/30 (c) 23/30 (d) 4/11
  14. 14.What is (−5/6) − (−2/7)? (a) 23/42 (b) −23/42 (c) −3/13 (d) −47/42
  15. 15.What is the additive inverse of 5/8? (a) −8/5 (b) 8/5 (c) 5/8 (d) −5/8
  16. 16.What is the reciprocal (multiplicative inverse) of 3/5? (a) −3/5 (b) 3/5 (c) 5/3 (d) −5/3
  17. 17.What is the additive inverse of 8/9? (a) 9/8 (b) 8/9 (c) −8/9 (d) −9/8
  18. 18.Which is bigger: −4/7 or 2/7? (a) −4/7 (b) 2/7
  19. 19.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  20. 20.Write 42/(−54) in standard form (lowest terms, positive denominator). (a) −42/54 (b) 7/9 (c) −7/9 (d) −9/7
  21. 21.What is 7/9 − (−3/4)? (a) 10/13 (b) 1/36 (c) −55/36 (d) 55/36
  22. 22.What is (−6/7) + 1/9? (a) −61/63 (b) 47/63 (c) −47/63 (d) −5/16
  23. 23.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  24. 24.What is the reciprocal (multiplicative inverse) of 1/2? (a) 1/2 (b) −1/2 (c) 2 (d) −2
  25. 25.What is the additive inverse of 1/5? (a) 5 (b) 1/5 (c) −5 (d) −1/5
  26. 26.What is 1/9 + (−1/3)? (a) −2/9 (b) 0 (c) 4/9 (d) 2/9
  27. 27.Which is smaller: −4/9 or −1/6? (a) −4/9 (b) −1/6
  28. 28.Is 9/3 positive or negative? (a) Negative (b) Positive
  29. 29.Which is bigger: −5/6 or 7/8? (a) −5/6 (b) 7/8
  30. 30.Which is bigger: −8/9 or −4/7? (a) −4/7 (b) −8/9
  31. 31.What is (−2/3) + (−1/8)? (a) −3/11 (b) −13/24 (c) 19/24 (d) −19/24
  32. 32.What is 4/5 + (−2/7)? (a) −18/35 (b) 18/35 (c) 1/6 (d) 38/35
  33. 33.What is the additive inverse of 2/3? (a) 3/2 (b) 2/3 (c) −3/2 (d) −2/3
  34. 34.Which is bigger: −4/5 or 5/8? (a) 5/8 (b) −4/5
  35. 35.Write 8/(−28) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −8/28 (c) −7/2 (d) −2/7
  36. 36.Write −4/16 in standard form (lowest terms, positive denominator). (a) −4/1 (b) 1/4 (c) −1/4 (d) −4/16
  37. 37.Write 12/(−21) in standard form (lowest terms, positive denominator). (a) −12/21 (b) −4/7 (c) 4/7 (d) −7/4
  38. 38.What is (−1/2) + 1/9? (a) 7/18 (b) −11/18 (c) −7/18 (d) 0
  39. 39.Is 1/(−8) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−5/7) + (−2/5)? (a) −7/12 (b) 39/35 (c) −11/35 (d) −39/35

Answer key

  1. −6/7
  2. −7/8
  3. −7/4
  4. −1/6
  5. 56/45
  6. 11/21
  7. −8/9
  8. Positive
  9. −1/7
  10. −11/10
  11. −2/5
  12. −3/4
  13. 23/30
  14. −23/42
  15. −5/8
  16. 5/3
  17. −8/9
  18. 2/7
  19. 4/3
  20. −7/9
  21. 55/36
  22. −47/63
  23. Negative
  24. 2
  25. −1/5
  26. −2/9
  27. −4/9
  28. Positive
  29. 7/8
  30. −4/7
  31. −19/24
  32. 18/35
  33. −2/3
  34. 5/8
  35. −2/7
  36. −1/4
  37. −4/7
  38. −7/18
  39. Negative
  40. −39/35

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