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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 57 · 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.Which is bigger: −4/5 or 4/7? (a) 4/7 (b) −4/5
  2. 2.What is 1/7 − (−5/6)? (a) −29/42 (b) 41/42 (c) −41/42 (d) 6/13
  3. 3.Is 5/5 positive or negative? (a) Positive (b) Negative
  4. 4.What is (−3/5) − (−1/7)? (a) −26/35 (b) 16/35 (c) −1/6 (d) −16/35
  5. 5.What is (−1/4) + (−2/7)? (a) −15/28 (b) 15/28 (c) 1/28 (d) −3/11
  6. 6.What is (−1/4) + (−1/4)? (a) 0 (b) −1/2 (c) 1/2 (d) −1/4
  7. 7.What is the additive inverse of 1/5? (a) −5 (b) 5 (c) 1/5 (d) −1/5
  8. 8.Which is smaller: −1/4 or 5/9? (a) 5/9 (b) −1/4
  9. 9.Write −18/21 in standard form (lowest terms, positive denominator). (a) −7/6 (b) 6/7 (c) −18/21 (d) −6/7
  10. 10.What is (−1/9) − 2/5? (a) −23/45 (b) 13/45 (c) −3/14 (d) 23/45
  11. 11.Which is bigger: −1/3 or −1/9? (a) −1/9 (b) −1/3
  12. 12.Which is bigger: −1/9 or −2/9? (a) −1/9 (b) −2/9
  13. 13.Which is smaller: −3/7 or 7/8? (a) 7/8 (b) −3/7
  14. 14.What is (−5/9) + (−3/5)? (a) −52/45 (b) 2/45 (c) 52/45 (d) −4/7
  15. 15.Which is bigger: −3/7 or 2/5? (a) 2/5 (b) −3/7
  16. 16.Is −4/6 positive or negative? (a) Positive (b) Negative
  17. 17.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) 5/9 (c) 9/5 (d) −9/5
  18. 18.Write −2/4 in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −2/4 (d) −1/2
  19. 19.Which is smaller: −6/7 or −1/9? (a) −1/9 (b) −6/7
  20. 20.Which is bigger: −4/5 or −1/6? (a) −1/6 (b) −4/5
  21. 21.What is (−7/8) + 2/5? (a) 19/40 (b) −51/40 (c) −19/40 (d) −5/13
  22. 22.Which is bigger: −7/9 or −3/8? (a) −3/8 (b) −7/9
  23. 23.What is (−1/6) + 1/8? (a) 0 (b) 1/24 (c) −7/24 (d) −1/24
  24. 24.What is 1/9 − (−1/3)? (a) 4/9 (b) 1/6 (c) −4/9 (d) −2/9
  25. 25.Write 12/(−32) in standard form (lowest terms, positive denominator). (a) −12/32 (b) 3/8 (c) −8/3 (d) −3/8
  26. 26.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  27. 27.Which is smaller: −7/9 or −2/7? (a) −7/9 (b) −2/7
  28. 28.What is (−3/8) − (−1/2)? (a) −1/5 (b) −7/8 (c) −1/8 (d) 1/8
  29. 29.Is −7/6 positive or negative? (a) Negative (b) Positive
  30. 30.Write −4/14 in standard form (lowest terms, positive denominator). (a) −4/14 (b) −7/2 (c) −2/7 (d) 2/7
  31. 31.Which is smaller: −1/5 or −2/5? (a) −1/5 (b) −2/5
  32. 32.Which is bigger: −1/2 or −8/9? (a) −1/2 (b) −8/9
  33. 33.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) −5/4 (d) 5/4
  34. 34.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  35. 35.Which is smaller: −3/4 or −1/2? (a) −3/4 (b) −1/2
  36. 36.What is (−8/9) + (−5/7)? (a) −13/16 (b) −11/63 (c) −101/63 (d) 101/63
  37. 37.What is (−5/9) − 3/8? (a) −13/72 (b) −67/72 (c) 67/72 (d) −8/17
  38. 38.Write −6/9 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −3/2 (c) −6/9 (d) 2/3
  39. 39.Is −5/(−5) positive or negative? (a) Positive (b) Negative
  40. 40.Write −6/8 in standard form (lowest terms, positive denominator). (a) −3/4 (b) −6/8 (c) 3/4 (d) −4/3

Answer key

  1. 4/7
  2. 41/42
  3. Positive
  4. −16/35
  5. −15/28
  6. −1/2
  7. −1/5
  8. −1/4
  9. −6/7
  10. −23/45
  11. −1/9
  12. −1/9
  13. −3/7
  14. −52/45
  15. 2/5
  16. Negative
  17. −9/5
  18. −1/2
  19. −6/7
  20. −1/6
  21. −19/40
  22. −3/8
  23. −1/24
  24. 4/9
  25. −3/8
  26. Positive
  27. −7/9
  28. 1/8
  29. Negative
  30. −2/7
  31. −2/5
  32. −1/2
  33. 4/5
  34. 2
  35. −3/4
  36. −101/63
  37. −67/72
  38. −2/3
  39. Positive
  40. −3/4

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