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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 18 · 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 −42/54 in standard form (lowest terms, positive denominator). (a) −7/9 (b) −42/54 (c) −9/7 (d) 7/9
  2. 2.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −1/9 (b) 1/9 (c) −9/1 (d) −5/45
  3. 3.What is 4/5 + (−1/5)? (a) −3/5 (b) 1 (c) 3/5 (d) 3/10
  4. 4.What is (−5/7) − (−2/5)? (a) −1/4 (b) −11/35 (c) −39/35 (d) 11/35
  5. 5.Which is bigger: −5/8 or 4/7? (a) 4/7 (b) −5/8
  6. 6.What is (−1/2) − (−5/8)? (a) −1/8 (b) 1/8 (c) 2/5 (d) −9/8
  7. 7.Is −4/8 positive or negative? (a) Positive (b) Negative
  8. 8.What is the additive inverse of −1/2? (a) 2 (b) −1/2 (c) −2 (d) 1/2
  9. 9.What is (−1/7) + (−5/8)? (a) 27/56 (b) 43/56 (c) −43/56 (d) −2/5
  10. 10.What is (−3/4) − (−3/4)? (a) −3/2 (b) 0
  11. 11.Which is bigger: −3/4 or 1/9? (a) 1/9 (b) −3/4
  12. 12.Write −10/18 in standard form (lowest terms, positive denominator). (a) 5/9 (b) −9/5 (c) −10/18 (d) −5/9
  13. 13.Is 4/9 positive or negative? (a) Positive (b) Negative
  14. 14.Which is bigger: −8/9 or 1/2? (a) 1/2 (b) −8/9
  15. 15.What is (−7/8) + 1/3? (a) −29/24 (b) −13/24 (c) 13/24 (d) −6/11
  16. 16.Write −15/27 in standard form (lowest terms, positive denominator). (a) −15/27 (b) −5/9 (c) 5/9 (d) −9/5
  17. 17.Is −5/7 positive or negative? (a) Negative (b) Positive
  18. 18.Which is bigger: −5/8 or 8/9? (a) 8/9 (b) −5/8
  19. 19.What is the additive inverse of 8/9? (a) −8/9 (b) 9/8 (c) −9/8 (d) 8/9
  20. 20.What is the reciprocal (multiplicative inverse) of 2/3? (a) 2/3 (b) −2/3 (c) 3/2 (d) −3/2
  21. 21.What is (−1/3) − (−4/7)? (a) −19/21 (b) 5/21 (c) −5/21 (d) 3/10
  22. 22.What is (−4/5) + (−2/3)? (a) −3/4 (b) −22/15 (c) 22/15 (d) −2/15
  23. 23.What is the additive inverse of −5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  24. 24.What is (−1/8) + 3/8? (a) 1/8 (b) −1/2 (c) 1/4 (d) −1/4
  25. 25.Which is smaller: −7/9 or 3/8? (a) −7/9 (b) 3/8
  26. 26.What is (−7/9) + 4/7? (a) −3/16 (b) −85/63 (c) 13/63 (d) −13/63
  27. 27.What is 5/9 − (−1/5)? (a) 16/45 (b) 3/7 (c) 34/45 (d) −34/45
  28. 28.Write −2/8 in standard form (lowest terms, positive denominator). (a) −4/1 (b) −1/4 (c) 1/4 (d) −2/8
  29. 29.What is (−4/5) − 1/3? (a) 17/15 (b) −5/8 (c) −17/15 (d) −7/15
  30. 30.Is 1/5 positive or negative? (a) Positive (b) Negative
  31. 31.Write 12/(−42) in standard form (lowest terms, positive denominator). (a) −7/2 (b) −12/42 (c) −2/7 (d) 2/7
  32. 32.Write −21/27 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −21/27 (c) 7/9 (d) −7/9
  33. 33.Which is smaller: −3/4 or −2/3? (a) −2/3 (b) −3/4
  34. 34.Which is bigger: −3/4 or 1/4? (a) 1/4 (b) −3/4
  35. 35.Which is smaller: −3/4 or −1/4? (a) −1/4 (b) −3/4
  36. 36.Write 20/(−25) in standard form (lowest terms, positive denominator). (a) 4/5 (b) −5/4 (c) −20/25 (d) −4/5
  37. 37.What is (−2/5) + (−3/7)? (a) 1/35 (b) 29/35 (c) −5/12 (d) −29/35
  38. 38.What is the reciprocal (multiplicative inverse) of −2/5? (a) −5/2 (b) 2/5 (c) 5/2 (d) −2/5
  39. 39.What is the additive inverse of 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  40. 40.What is (−7/8) + 2/7? (a) −65/56 (b) −33/56 (c) 33/56 (d) −1/3

Answer key

  1. −7/9
  2. −1/9
  3. 3/5
  4. −11/35
  5. 4/7
  6. 1/8
  7. Negative
  8. 1/2
  9. −43/56
  10. 0
  11. 1/9
  12. −5/9
  13. Positive
  14. 1/2
  15. −13/24
  16. −5/9
  17. Negative
  18. 8/9
  19. −8/9
  20. 3/2
  21. 5/21
  22. −22/15
  23. 5/6
  24. 1/4
  25. −7/9
  26. −13/63
  27. 34/45
  28. −1/4
  29. −17/15
  30. Positive
  31. −2/7
  32. −7/9
  33. −3/4
  34. 1/4
  35. −3/4
  36. −4/5
  37. −29/35
  38. −5/2
  39. −2/5
  40. −33/56

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