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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 652 · 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 (−2/9) − 7/8? (a) 79/72 (b) −9/17 (c) −79/72 (d) 47/72
  2. 2.What is (−4/9) + 7/8? (a) −95/72 (b) −31/72 (c) 31/72 (d) 3/17
  3. 3.What is (−5/6) + 1/6? (a) −1 (b) −1/3 (c) −2/3 (d) 2/3
  4. 4.Is 2/5 positive or negative? (a) Positive (b) Negative
  5. 5.Is −5/8 positive or negative? (a) Negative (b) Positive
  6. 6.What is (−1/2) − 2/3? (a) −3/5 (b) 1/6 (c) 7/6 (d) −7/6
  7. 7.Write −2/8 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −4/1 (c) −1/4 (d) −2/8
  8. 8.What is the reciprocal (multiplicative inverse) of −1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  9. 9.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −1/6 (c) 1/6 (d) −3/18
  10. 10.What is 5/7 + (−2/3)? (a) 3/10 (b) −1/21 (c) 29/21 (d) 1/21
  11. 11.What is (−2/3) + (−6/7)? (a) −4/5 (b) −32/21 (c) 4/21 (d) 32/21
  12. 12.Write 4/(−36) in standard form (lowest terms, positive denominator). (a) 1/9 (b) −4/36 (c) −9/1 (d) −1/9
  13. 13.What is (−3/5) + (−2/5)? (a) −1/5 (b) −1/2 (c) 1 (d) −1
  14. 14.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −7/1 (d) −5/35
  15. 15.What is (−3/5) − 1/3? (a) −4/15 (b) 14/15 (c) −1/2 (d) −14/15
  16. 16.What is (−1/5) + 8/9? (a) 31/45 (b) 1/2 (c) −31/45 (d) −49/45
  17. 17.Is −6/(−8) positive or negative? (a) Negative (b) Positive
  18. 18.What is (−6/7) − (−5/8)? (a) −13/56 (b) 13/56 (c) −83/56 (d) −1/15
  19. 19.What is (−3/8) + 2/3? (a) −25/24 (b) 7/24 (c) −1/11 (d) −7/24
  20. 20.Is −1/(−2) positive or negative? (a) Negative (b) Positive
  21. 21.Write −18/24 in standard form (lowest terms, positive denominator). (a) 3/4 (b) −4/3 (c) −18/24 (d) −3/4
  22. 22.What is (−3/7) + 1/5? (a) −22/35 (b) −8/35 (c) −1/6 (d) 8/35
  23. 23.What is (−1/4) − (−1/9)? (a) 5/36 (b) −13/36 (c) −5/36 (d) 0
  24. 24.What is (−4/7) − 1/3? (a) 19/21 (b) −5/21 (c) −1/2 (d) −19/21
  25. 25.What is (−1/3) + (−2/3)? (a) 1/3 (b) 1 (c) −1/2 (d) −1
  26. 26.Write −24/30 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) −24/30 (d) 4/5
  27. 27.Write −10/25 in standard form (lowest terms, positive denominator). (a) −10/25 (b) 2/5 (c) −2/5 (d) −5/2
  28. 28.What is 1/7 + (−1/5)? (a) −2/35 (b) 0 (c) 12/35 (d) 2/35
  29. 29.What is the additive inverse of 6/7? (a) −7/6 (b) 6/7 (c) 7/6 (d) −6/7
  30. 30.Which is bigger: −1/6 or −3/5? (a) −1/6 (b) −3/5
  31. 31.What is (−2/7) + (−3/8)? (a) −1/3 (b) 5/56 (c) 37/56 (d) −37/56
  32. 32.What is 1/8 + (−5/6)? (a) 17/24 (b) 23/24 (c) −2/7 (d) −17/24
  33. 33.Which is bigger: −1/6 or −1/2? (a) −1/2 (b) −1/6
  34. 34.Which is smaller: −4/9 or 5/8? (a) −4/9 (b) 5/8
  35. 35.Is 6/9 positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −1/9 or −5/9? (a) −5/9 (b) −1/9
  37. 37.What is the additive inverse of −1/5? (a) 5 (b) −5 (c) −1/5 (d) 1/5
  38. 38.What is (−8/9) + (−7/9)? (a) 5/3 (b) −5/3 (c) −5/6 (d) −1/9
  39. 39.What is (−4/9) + 1/9? (a) 1/3 (b) −1/6 (c) −1/3 (d) −5/9
  40. 40.Which is smaller: −2/3 or −1/5? (a) −2/3 (b) −1/5

Answer key

  1. −79/72
  2. 31/72
  3. −2/3
  4. Positive
  5. Negative
  6. −7/6
  7. −1/4
  8. −7
  9. −1/6
  10. 1/21
  11. −32/21
  12. −1/9
  13. −1
  14. −1/7
  15. −14/15
  16. 31/45
  17. Positive
  18. −13/56
  19. 7/24
  20. Positive
  21. −3/4
  22. −8/35
  23. −5/36
  24. −19/21
  25. −1
  26. −4/5
  27. −2/5
  28. −2/35
  29. −6/7
  30. −1/6
  31. −37/56
  32. −17/24
  33. −1/6
  34. −4/9
  35. Positive
  36. −1/9
  37. 1/5
  38. −5/3
  39. −1/3
  40. −2/3

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