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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 645 · 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 (−3/7) + 3/4? (a) −33/28 (b) 9/28 (c) −9/28 (d) 0
  2. 2.What is (−1/5) − 3/5? (a) 2/5 (b) 4/5 (c) −4/5 (d) −2/5
  3. 3.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) 1/5 (c) 5 (d) −1/5
  4. 4.Which is bigger: −1/6 or −1/9? (a) −1/9 (b) −1/6
  5. 5.Write −20/36 in standard form (lowest terms, positive denominator). (a) −20/36 (b) −9/5 (c) −5/9 (d) 5/9
  6. 6.What is the reciprocal (multiplicative inverse) of −1/2? (a) 2 (b) −2 (c) 1/2 (d) −1/2
  7. 7.What is (−2/5) − 1/2? (a) −9/10 (b) −3/7 (c) 9/10 (d) 1/10
  8. 8.What is (−7/9) + (−3/4)? (a) −55/36 (b) 55/36 (c) −10/13 (d) −1/36
  9. 9.What is (−7/8) + 2/7? (a) −33/56 (b) −1/3 (c) −65/56 (d) 33/56
  10. 10.What is the reciprocal (multiplicative inverse) of −3/7? (a) −7/3 (b) −3/7 (c) 3/7 (d) 7/3
  11. 11.Is −3/5 positive or negative? (a) Negative (b) Positive
  12. 12.What is (−1/4) + 2/5? (a) −13/20 (b) −3/20 (c) 1/9 (d) 3/20
  13. 13.What is the additive inverse of 2/7? (a) −7/2 (b) −2/7 (c) 7/2 (d) 2/7
  14. 14.Which is bigger: −7/8 or −3/4? (a) −7/8 (b) −3/4
  15. 15.Is 2/4 positive or negative? (a) Positive (b) Negative
  16. 16.What is the additive inverse of −2/3? (a) −3/2 (b) 3/2 (c) 2/3 (d) −2/3
  17. 17.Which is smaller: −8/9 or 2/5? (a) −8/9 (b) 2/5
  18. 18.Which is smaller: −1/5 or −1/9? (a) −1/9 (b) −1/5
  19. 19.Write 9/(−24) in standard form (lowest terms, positive denominator). (a) −3/8 (b) −8/3 (c) −9/24 (d) 3/8
  20. 20.Which is smaller: −1/5 or 1/8? (a) 1/8 (b) −1/5
  21. 21.What is (−2/5) − 5/8? (a) −7/13 (b) −41/40 (c) 41/40 (d) 9/40
  22. 22.What is (−2/9) + 1/5? (a) 1/45 (b) −1/45 (c) −1/14 (d) −19/45
  23. 23.Write −2/10 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −2/10 (c) −1/5 (d) −5/1
  24. 24.Is 2/2 positive or negative? (a) Negative (b) Positive
  25. 25.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  26. 26.Is −7/(−6) positive or negative? (a) Positive (b) Negative
  27. 27.Write −6/24 in standard form (lowest terms, positive denominator). (a) −6/24 (b) −4/1 (c) 1/4 (d) −1/4
  28. 28.What is the additive inverse of −4/5? (a) −4/5 (b) 4/5 (c) 5/4 (d) −5/4
  29. 29.What is (−5/6) + (−1/8)? (a) −17/24 (b) 23/24 (c) −3/7 (d) −23/24
  30. 30.What is (−5/6) + 1/2? (a) −4/3 (b) 1/3 (c) −1/2 (d) −1/3
  31. 31.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/1 (c) −5/25 (d) −1/5
  32. 32.Write −6/9 in standard form (lowest terms, positive denominator). (a) 2/3 (b) −2/3 (c) −6/9 (d) −3/2
  33. 33.Write −5/25 in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/25 (c) −5/1 (d) −1/5
  34. 34.Write −9/24 in standard form (lowest terms, positive denominator). (a) −3/8 (b) −9/24 (c) −8/3 (d) 3/8
  35. 35.Which is smaller: −5/9 or −1/5? (a) −1/5 (b) −5/9
  36. 36.Write −6/18 in standard form (lowest terms, positive denominator). (a) 1/3 (b) −3/1 (c) −1/3 (d) −6/18
  37. 37.What is (−1/3) + (−1/5)? (a) −1/4 (b) −8/15 (c) 8/15 (d) −2/15
  38. 38.Is 9/7 positive or negative? (a) Negative (b) Positive
  39. 39.What is (−3/5) − 1/9? (a) −22/45 (b) 32/45 (c) −32/45 (d) −2/7
  40. 40.Which is smaller: −7/8 or 1/7? (a) 1/7 (b) −7/8

Answer key

  1. 9/28
  2. −4/5
  3. 5
  4. −1/9
  5. −5/9
  6. −2
  7. −9/10
  8. −55/36
  9. −33/56
  10. −7/3
  11. Negative
  12. 3/20
  13. −2/7
  14. −3/4
  15. Positive
  16. 2/3
  17. −8/9
  18. −1/5
  19. −3/8
  20. −1/5
  21. −41/40
  22. −1/45
  23. −1/5
  24. Positive
  25. Negative
  26. Positive
  27. −1/4
  28. 4/5
  29. −23/24
  30. −1/3
  31. −1/5
  32. −2/3
  33. −1/5
  34. −3/8
  35. −5/9
  36. −1/3
  37. −8/15
  38. Positive
  39. −32/45
  40. −7/8

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