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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 843 · 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 14/(−16) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −14/16
  2. 2.Which is smaller: −8/9 or −1/6? (a) −8/9 (b) −1/6
  3. 3.What is 4/7 + (−8/9)? (a) 92/63 (b) −1/4 (c) −20/63 (d) 20/63
  4. 4.What is (−7/9) − 1/8? (a) −8/17 (b) 65/72 (c) −47/72 (d) −65/72
  5. 5.Write −4/16 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) 1/4 (d) −4/16
  6. 6.Write 5/(−15) in standard form (lowest terms, positive denominator). (a) −5/15 (b) −1/3 (c) 1/3 (d) −3/1
  7. 7.Is −8/(−7) positive or negative? (a) Negative (b) Positive
  8. 8.Is 1/(−2) positive or negative? (a) Negative (b) Positive
  9. 9.What is (−2/3) + 1/3? (a) −1/6 (b) 1/3 (c) −1/3 (d) −1
  10. 10.Write 8/(−10) in standard form (lowest terms, positive denominator). (a) −8/10 (b) −4/5 (c) 4/5 (d) −5/4
  11. 11.Which is smaller: −7/8 or 2/7? (a) 2/7 (b) −7/8
  12. 12.What is (−2/9) − 1/3? (a) −1/4 (b) 1/9 (c) 5/9 (d) −5/9
  13. 13.Write −15/21 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −15/21 (c) 5/7 (d) −7/5
  14. 14.Which is bigger: −8/9 or −4/7? (a) −4/7 (b) −8/9
  15. 15.What is (−7/8) − (−7/9)? (a) 7/72 (b) −7/72 (c) −119/72 (d) 0
  16. 16.What is 1/8 + (−4/7)? (a) 39/56 (b) −25/56 (c) −1/5 (d) 25/56
  17. 17.What is 5/7 + (−4/5)? (a) 53/35 (b) 3/35 (c) −3/35 (d) 1/12
  18. 18.What is (−2/3) − 2/5? (a) −1/2 (b) −16/15 (c) −4/15 (d) 16/15
  19. 19.What is (−1/3) − 1/2? (a) 5/6 (b) 1/6 (c) −2/5 (d) −5/6
  20. 20.What is the additive inverse of −5/8? (a) −5/8 (b) −8/5 (c) 5/8 (d) 8/5
  21. 21.Write 8/(−18) in standard form (lowest terms, positive denominator). (a) −8/18 (b) 4/9 (c) −9/4 (d) −4/9
  22. 22.What is 4/7 − (−4/5)? (a) −48/35 (b) 48/35 (c) 2/3 (d) −8/35
  23. 23.Which is smaller: −5/6 or −1/9? (a) −1/9 (b) −5/6
  24. 24.Which is smaller: −3/4 or −1/7? (a) −1/7 (b) −3/4
  25. 25.Write 24/(−28) in standard form (lowest terms, positive denominator). (a) −7/6 (b) −24/28 (c) 6/7 (d) −6/7
  26. 26.Which is bigger: −4/9 or −2/7? (a) −2/7 (b) −4/9
  27. 27.What is (−5/7) + 5/8? (a) −5/56 (b) 0 (c) 5/56 (d) −75/56
  28. 28.What is (−1/3) − 4/9? (a) −5/12 (b) −7/9 (c) 7/9 (d) 1/9
  29. 29.What is the additive inverse of −1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  30. 30.Which is bigger: −4/7 or −1/7? (a) −4/7 (b) −1/7
  31. 31.Is 3/(−3) positive or negative? (a) Negative (b) Positive
  32. 32.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  33. 33.What is (−6/7) + (−4/5)? (a) −5/6 (b) −2/35 (c) −58/35 (d) 58/35
  34. 34.What is the additive inverse of −1/6? (a) −6 (b) 6 (c) 1/6 (d) −1/6
  35. 35.What is 1/2 + (−5/6)? (a) 1/3 (b) 4/3 (c) −1/2 (d) −1/3
  36. 36.What is the additive inverse of −4/5? (a) 4/5 (b) −4/5 (c) −5/4 (d) 5/4
  37. 37.What is (−3/5) + 7/8? (a) 4/13 (b) −11/40 (c) −59/40 (d) 11/40
  38. 38.What is (−7/9) − (−2/5)? (a) 17/45 (b) −53/45 (c) −17/45 (d) −5/14
  39. 39.Which is smaller: −4/7 or −5/7? (a) −4/7 (b) −5/7
  40. 40.What is (−2/5) − 1/2? (a) −3/7 (b) −9/10 (c) 1/10 (d) 9/10

Answer key

  1. −7/8
  2. −8/9
  3. −20/63
  4. −65/72
  5. −1/4
  6. −1/3
  7. Positive
  8. Negative
  9. −1/3
  10. −4/5
  11. −7/8
  12. −5/9
  13. −5/7
  14. −4/7
  15. −7/72
  16. −25/56
  17. −3/35
  18. −16/15
  19. −5/6
  20. 5/8
  21. −4/9
  22. 48/35
  23. −5/6
  24. −3/4
  25. −6/7
  26. −2/7
  27. −5/56
  28. −7/9
  29. 1/7
  30. −1/7
  31. Negative
  32. Negative
  33. −58/35
  34. 1/6
  35. −1/3
  36. 4/5
  37. 11/40
  38. −17/45
  39. −5/7
  40. −9/10

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