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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 789 · 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 reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  2. 2.Which is smaller: −4/9 or −7/8? (a) −4/9 (b) −7/8
  3. 3.What is (−7/8) − (−1/2)? (a) −11/8 (b) −3/5 (c) −3/8 (d) 3/8
  4. 4.Which is smaller: −2/7 or 2/9? (a) 2/9 (b) −2/7
  5. 5.What is (−8/9) + 4/7? (a) −1/4 (b) −20/63 (c) 20/63 (d) −92/63
  6. 6.What is (−2/7) − 3/8? (a) 37/56 (b) 5/56 (c) −1/3 (d) −37/56
  7. 7.Which is smaller: −5/6 or 7/9? (a) 7/9 (b) −5/6
  8. 8.What is (−1/7) − (−7/8)? (a) 2/5 (b) −41/56 (c) −57/56 (d) 41/56
  9. 9.Write −6/9 in standard form (lowest terms, positive denominator). (a) −3/2 (b) −6/9 (c) 2/3 (d) −2/3
  10. 10.What is (−7/8) − (−1/3)? (a) −29/24 (b) −6/11 (c) 13/24 (d) −13/24
  11. 11.Is −5/(−3) positive or negative? (a) Negative (b) Positive
  12. 12.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) 1/5 (c) −1/5 (d) −5
  13. 13.Which is bigger: −4/5 or 1/9? (a) −4/5 (b) 1/9
  14. 14.What is 3/7 − (−1/4)? (a) −19/28 (b) 4/11 (c) 5/28 (d) 19/28
  15. 15.What is (−3/4) − (−1/2)? (a) −5/4 (b) 1/4 (c) −1/3 (d) −1/4
  16. 16.Write 6/(−16) in standard form (lowest terms, positive denominator). (a) −3/8 (b) 3/8 (c) −6/16 (d) −8/3
  17. 17.Which is bigger: −4/7 or −5/9? (a) −4/7 (b) −5/9
  18. 18.Which is bigger: −7/8 or 6/7? (a) 6/7 (b) −7/8
  19. 19.Is 7/7 positive or negative? (a) Negative (b) Positive
  20. 20.What is the reciprocal (multiplicative inverse) of −5/9? (a) −5/9 (b) 9/5 (c) −9/5 (d) 5/9
  21. 21.Which is bigger: −1/8 or −1/2? (a) −1/2 (b) −1/8
  22. 22.What is (−2/3) − 2/5? (a) −1/2 (b) −4/15 (c) 16/15 (d) −16/15
  23. 23.Which is bigger: −3/5 or 1/9? (a) 1/9 (b) −3/5
  24. 24.What is (−5/7) + 1/2? (a) 3/14 (b) −17/14 (c) −3/14 (d) −4/9
  25. 25.Is −1/3 positive or negative? (a) Negative (b) Positive
  26. 26.Write 4/(−10) in standard form (lowest terms, positive denominator). (a) −2/5 (b) 2/5 (c) −4/10 (d) −5/2
  27. 27.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) −1/5 (c) −5/1 (d) 1/5
  28. 28.What is 3/5 − (−3/4)? (a) −3/20 (b) −27/20 (c) 27/20 (d) 2/3
  29. 29.What is (−2/3) + (−6/7)? (a) 32/21 (b) −32/21 (c) 4/21 (d) −4/5
  30. 30.What is (−1/9) + 2/9? (a) −1/9 (b) −1/3 (c) 1/9 (d) 1/18
  31. 31.Which is smaller: −2/7 or −1/4? (a) −2/7 (b) −1/4
  32. 32.Write −16/20 in standard form (lowest terms, positive denominator). (a) −4/5 (b) −5/4 (c) −16/20 (d) 4/5
  33. 33.Write 20/(−36) in standard form (lowest terms, positive denominator). (a) −20/36 (b) 5/9 (c) −9/5 (d) −5/9
  34. 34.What is (−1/4) + 2/7? (a) 1/28 (b) −15/28 (c) −1/28 (d) 1/11
  35. 35.What is (−5/7) − (−5/9)? (a) 10/63 (b) 0 (c) −80/63 (d) −10/63
  36. 36.What is the reciprocal (multiplicative inverse) of 1/2? (a) −1/2 (b) 2 (c) 1/2 (d) −2
  37. 37.What is the reciprocal (multiplicative inverse) of 5/9? (a) 5/9 (b) −5/9 (c) 9/5 (d) −9/5
  38. 38.Write 3/(−21) in standard form (lowest terms, positive denominator). (a) −1/7 (b) 1/7 (c) −3/21 (d) −7/1
  39. 39.What is (−3/5) + (−1/3)? (a) −4/15 (b) 14/15 (c) −14/15 (d) −1/2
  40. 40.Which is smaller: −1/4 or 1/3? (a) 1/3 (b) −1/4

Answer key

  1. −7/5
  2. −7/8
  3. −3/8
  4. −2/7
  5. −20/63
  6. −37/56
  7. −5/6
  8. 41/56
  9. −2/3
  10. −13/24
  11. Positive
  12. −5
  13. 1/9
  14. 19/28
  15. −1/4
  16. −3/8
  17. −5/9
  18. 6/7
  19. Positive
  20. −9/5
  21. −1/8
  22. −16/15
  23. 1/9
  24. −3/14
  25. Negative
  26. −2/5
  27. −1/5
  28. 27/20
  29. −32/21
  30. 1/9
  31. −2/7
  32. −4/5
  33. −5/9
  34. 1/28
  35. −10/63
  36. 2
  37. 9/5
  38. −1/7
  39. −14/15
  40. −1/4

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