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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 423 · 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 (−5/9) − (−3/5)? (a) −1/7 (b) −2/45 (c) 2/45 (d) −52/45
  2. 2.What is the additive inverse of 3/5? (a) 3/5 (b) −5/3 (c) 5/3 (d) −3/5
  3. 3.Write 12/(−30) in standard form (lowest terms, positive denominator). (a) −2/5 (b) −12/30 (c) 2/5 (d) −5/2
  4. 4.What is (−3/5) + 3/7? (a) 0 (b) −36/35 (c) −6/35 (d) 6/35
  5. 5.What is (−1/5) + 2/7? (a) −3/35 (b) 1/12 (c) −17/35 (d) 3/35
  6. 6.Which is bigger: −1/5 or 4/9? (a) −1/5 (b) 4/9
  7. 7.Write −18/30 in standard form (lowest terms, positive denominator). (a) −3/5 (b) −5/3 (c) −18/30 (d) 3/5
  8. 8.What is 1/3 − (−1/9)? (a) 4/9 (b) 1/6 (c) −4/9 (d) 2/9
  9. 9.What is (−1/7) + 4/5? (a) 1/4 (b) −23/35 (c) −33/35 (d) 23/35
  10. 10.What is (−1/2) − (−5/6)? (a) −1/3 (b) −4/3 (c) 1/2 (d) 1/3
  11. 11.Which is bigger: −3/4 or 8/9? (a) 8/9 (b) −3/4
  12. 12.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) −20/25 (b) −5/4 (c) 4/5 (d) −4/5
  13. 13.Which is bigger: −2/9 or −8/9? (a) −2/9 (b) −8/9
  14. 14.What is (−6/7) − (−1/2)? (a) 5/14 (b) −19/14 (c) −5/9 (d) −5/14
  15. 15.What is the additive inverse of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  16. 16.What is (−1/9) − (−4/9)? (a) 1/6 (b) 1/3 (c) −5/9 (d) −1/3
  17. 17.Write 10/(−16) in standard form (lowest terms, positive denominator). (a) 5/8 (b) −8/5 (c) −10/16 (d) −5/8
  18. 18.What is (−5/9) − 3/5? (a) −4/7 (b) 52/45 (c) −52/45 (d) 2/45
  19. 19.What is (−5/6) − (−1/3)? (a) −7/6 (b) −1/2 (c) −4/9 (d) 1/2
  20. 20.What is 3/5 + (−1/2)? (a) 1/10 (b) 11/10 (c) 2/7 (d) −1/10
  21. 21.Which is bigger: −3/4 or −5/6? (a) −3/4 (b) −5/6
  22. 22.Which is bigger: −2/5 or 1/4? (a) 1/4 (b) −2/5
  23. 23.What is (−5/8) + 7/8? (a) 1/4 (b) −1/4 (c) 1/8 (d) −3/2
  24. 24.Write 6/(−12) in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −1/2 (d) −6/12
  25. 25.Which is bigger: −4/7 or 3/7? (a) 3/7 (b) −4/7
  26. 26.What is (−2/3) − 1/2? (a) −1/6 (b) −3/5 (c) −7/6 (d) 7/6
  27. 27.What is (−5/6) + 1/7? (a) 29/42 (b) −29/42 (c) −41/42 (d) −4/13
  28. 28.What is 2/7 + (−7/9)? (a) 67/63 (b) −5/16 (c) −31/63 (d) 31/63
  29. 29.Which is bigger: −5/8 or −5/9? (a) −5/9 (b) −5/8
  30. 30.What is (−1/6) − 6/7? (a) 43/42 (b) −43/42 (c) −7/13 (d) 29/42
  31. 31.What is 2/5 − (−3/7)? (a) −1/35 (b) 5/12 (c) −29/35 (d) 29/35
  32. 32.Which is smaller: −1/3 or 1/6? (a) 1/6 (b) −1/3
  33. 33.What is (−3/5) − (−1/2)? (a) 1/10 (b) −2/7 (c) −1/10 (d) −11/10
  34. 34.Which is smaller: −3/5 or −4/5? (a) −4/5 (b) −3/5
  35. 35.Which is smaller: −1/5 or 2/9? (a) −1/5 (b) 2/9
  36. 36.Which is bigger: −5/6 or −5/7? (a) −5/7 (b) −5/6
  37. 37.Is 5/(−9) positive or negative? (a) Negative (b) Positive
  38. 38.What is 3/8 − (−2/9)? (a) 5/17 (b) 43/72 (c) −43/72 (d) 11/72
  39. 39.Is −3/(−5) positive or negative? (a) Negative (b) Positive
  40. 40.What is (−3/5) + 1/9? (a) 22/45 (b) −32/45 (c) −1/7 (d) −22/45

Answer key

  1. 2/45
  2. −3/5
  3. −2/5
  4. −6/35
  5. 3/35
  6. 4/9
  7. −3/5
  8. 4/9
  9. 23/35
  10. 1/3
  11. 8/9
  12. −4/5
  13. −2/9
  14. −5/14
  15. 1/3
  16. 1/3
  17. −5/8
  18. −52/45
  19. −1/2
  20. 1/10
  21. −3/4
  22. 1/4
  23. 1/4
  24. −1/2
  25. 3/7
  26. −7/6
  27. −29/42
  28. −31/63
  29. −5/9
  30. −43/42
  31. 29/35
  32. −1/3
  33. −1/10
  34. −4/5
  35. −1/5
  36. −5/7
  37. Negative
  38. 43/72
  39. Positive
  40. −22/45

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