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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 983 · 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 the additive inverse of −8/9? (a) 8/9 (b) −8/9 (c) 9/8 (d) −9/8
  2. 2.Write 24/(−54) in standard form (lowest terms, positive denominator). (a) 4/9 (b) −24/54 (c) −4/9 (d) −9/4
  3. 3.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) −8/1 (b) 1/8 (c) −3/24 (d) −1/8
  4. 4.Which is smaller: −3/7 or −6/7? (a) −6/7 (b) −3/7
  5. 5.What is the reciprocal (multiplicative inverse) of 4/9? (a) −4/9 (b) 9/4 (c) −9/4 (d) 4/9
  6. 6.What is (−5/9) + (−3/5)? (a) −52/45 (b) 2/45 (c) −4/7 (d) 52/45
  7. 7.What is (−7/9) − 7/9? (a) −7/9 (b) 14/9 (c) 0 (d) −14/9
  8. 8.What is 1/9 + (−8/9)? (a) 1 (b) −7/9 (c) −7/18 (d) 7/9
  9. 9.What is 1/2 + (−2/7)? (a) 3/14 (b) −3/14 (c) −1/9 (d) 11/14
  10. 10.Which is bigger: −5/8 or 1/4? (a) −5/8 (b) 1/4
  11. 11.Is −4/(−2) positive or negative? (a) Positive (b) Negative
  12. 12.Which is bigger: −1/3 or 1/2? (a) 1/2 (b) −1/3
  13. 13.Which is smaller: −3/7 or 4/5? (a) 4/5 (b) −3/7
  14. 14.What is (−3/8) + (−2/9)? (a) −5/17 (b) 43/72 (c) −11/72 (d) −43/72
  15. 15.Is 1/8 positive or negative? (a) Negative (b) Positive
  16. 16.Write −18/21 in standard form (lowest terms, positive denominator). (a) −7/6 (b) −6/7 (c) −18/21 (d) 6/7
  17. 17.What is the reciprocal (multiplicative inverse) of 5/9? (a) 9/5 (b) −9/5 (c) −5/9 (d) 5/9
  18. 18.Which is bigger: −1/3 or −3/4? (a) −3/4 (b) −1/3
  19. 19.Write −24/27 in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) 8/9 (d) −24/27
  20. 20.Write −42/54 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −9/7 (c) −42/54 (d) 7/9
  21. 21.What is (−1/4) + 1/2? (a) −3/4 (b) 1/4 (c) 0 (d) −1/4
  22. 22.Write −10/45 in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −2/9 (d) −10/45
  23. 23.What is (−2/7) − (−7/9)? (a) 5/16 (b) 31/63 (c) −31/63 (d) −67/63
  24. 24.What is (−5/9) + (−6/7)? (a) 19/63 (b) 89/63 (c) −89/63 (d) −11/16
  25. 25.Which is bigger: −8/9 or 5/7? (a) −8/9 (b) 5/7
  26. 26.What is (−1/4) + 3/4? (a) −1/2 (b) 1/4 (c) 1/2 (d) −1
  27. 27.Write −6/24 in standard form (lowest terms, positive denominator). (a) 1/4 (b) −6/24 (c) −4/1 (d) −1/4
  28. 28.Write −6/14 in standard form (lowest terms, positive denominator). (a) −3/7 (b) −6/14 (c) 3/7 (d) −7/3
  29. 29.What is the reciprocal (multiplicative inverse) of 1/4? (a) −4 (b) −1/4 (c) 4 (d) 1/4
  30. 30.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) 3/8 (d) −9/24
  31. 31.Which is smaller: −1/9 or −1/4? (a) −1/9 (b) −1/4
  32. 32.What is 3/8 + (−3/5)? (a) 9/40 (b) 0 (c) −9/40 (d) 39/40
  33. 33.Write −5/15 in standard form (lowest terms, positive denominator). (a) −3/1 (b) −1/3 (c) 1/3 (d) −5/15
  34. 34.Which is bigger: −3/5 or 2/3? (a) −3/5 (b) 2/3
  35. 35.Write −2/14 in standard form (lowest terms, positive denominator). (a) −2/14 (b) −7/1 (c) −1/7 (d) 1/7
  36. 36.Which is bigger: −2/9 or 1/2? (a) −2/9 (b) 1/2
  37. 37.What is the additive inverse of 1/6? (a) 1/6 (b) −6 (c) −1/6 (d) 6
  38. 38.Write 12/(−16) in standard form (lowest terms, positive denominator). (a) −4/3 (b) −12/16 (c) −3/4 (d) 3/4
  39. 39.Which is smaller: −2/3 or −5/7? (a) −5/7 (b) −2/3
  40. 40.Which is bigger: −2/9 or −1/8? (a) −1/8 (b) −2/9

Answer key

  1. 8/9
  2. −4/9
  3. −1/8
  4. −6/7
  5. 9/4
  6. −52/45
  7. −14/9
  8. −7/9
  9. 3/14
  10. 1/4
  11. Positive
  12. 1/2
  13. −3/7
  14. −43/72
  15. Positive
  16. −6/7
  17. 9/5
  18. −1/3
  19. −8/9
  20. −7/9
  21. 1/4
  22. −2/9
  23. 31/63
  24. −89/63
  25. 5/7
  26. 1/2
  27. −1/4
  28. −3/7
  29. 4
  30. −3/8
  31. −1/4
  32. −9/40
  33. −1/3
  34. 2/3
  35. −1/7
  36. 1/2
  37. −1/6
  38. −3/4
  39. −5/7
  40. −1/8

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