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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 388 · 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: −3/5 or −5/6? (a) −5/6 (b) −3/5
  2. 2.Write −10/14 in standard form (lowest terms, positive denominator). (a) −5/7 (b) −7/5 (c) 5/7 (d) −10/14
  3. 3.Which is bigger: −1/3 or −5/7? (a) −5/7 (b) −1/3
  4. 4.Is 7/8 positive or negative? (a) Negative (b) Positive
  5. 5.Write −42/48 in standard form (lowest terms, positive denominator). (a) −7/8 (b) 7/8 (c) −42/48 (d) −8/7
  6. 6.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −7/5 (c) −10/14 (d) −5/7
  7. 7.Which is smaller: −2/9 or −3/5? (a) −2/9 (b) −3/5
  8. 8.Which is bigger: −3/5 or −3/4? (a) −3/5 (b) −3/4
  9. 9.What is the additive inverse of 5/7? (a) 5/7 (b) 7/5 (c) −5/7 (d) −7/5
  10. 10.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  11. 11.Write 2/(−6) in standard form (lowest terms, positive denominator). (a) 1/3 (b) −1/3 (c) −2/6 (d) −3/1
  12. 12.Write 5/(−35) in standard form (lowest terms, positive denominator). (a) −5/35 (b) 1/7 (c) −1/7 (d) −7/1
  13. 13.Is 1/(−7) positive or negative? (a) Positive (b) Negative
  14. 14.Write −21/27 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −7/9 (c) 7/9 (d) −21/27
  15. 15.What is (−1/2) − 4/7? (a) −15/14 (b) −5/9 (c) 1/14 (d) 15/14
  16. 16.What is the additive inverse of −2/3? (a) −2/3 (b) 2/3 (c) −3/2 (d) 3/2
  17. 17.What is (−5/8) + (−1/5)? (a) −17/40 (b) −6/13 (c) 33/40 (d) −33/40
  18. 18.What is (−1/3) − 5/9? (a) −1/2 (b) 8/9 (c) −8/9 (d) 2/9
  19. 19.What is the additive inverse of −2/5? (a) 5/2 (b) −2/5 (c) 2/5 (d) −5/2
  20. 20.What is (−5/8) + (−7/8)? (a) 3/2 (b) −3/2 (c) 1/4 (d) −3/4
  21. 21.Is 3/(−2) positive or negative? (a) Positive (b) Negative
  22. 22.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −1/9 (b) −5/45 (c) 1/9 (d) −9/1
  23. 23.Which is bigger: −2/3 or 1/4? (a) 1/4 (b) −2/3
  24. 24.What is (−6/7) + 2/9? (a) −68/63 (b) 40/63 (c) −1/4 (d) −40/63
  25. 25.What is 8/9 − (−1/7)? (a) 65/63 (b) −65/63 (c) 47/63 (d) 9/16
  26. 26.Which is smaller: −4/7 or −5/6? (a) −5/6 (b) −4/7
  27. 27.Is −3/8 positive or negative? (a) Negative (b) Positive
  28. 28.What is (−5/9) + (−1/2)? (a) 19/18 (b) −6/11 (c) −1/18 (d) −19/18
  29. 29.What is (−2/3) − 2/9? (a) −8/9 (b) −1/3 (c) 8/9 (d) −4/9
  30. 30.What is the additive inverse of −5/6? (a) 6/5 (b) 5/6 (c) −5/6 (d) −6/5
  31. 31.What is the reciprocal (multiplicative inverse) of −8/9? (a) 8/9 (b) −9/8 (c) −8/9 (d) 9/8
  32. 32.What is (−4/5) − (−4/9)? (a) −16/45 (b) −56/45 (c) 16/45 (d) 0
  33. 33.What is the reciprocal (multiplicative inverse) of 3/8? (a) 8/3 (b) 3/8 (c) −8/3 (d) −3/8
  34. 34.What is the additive inverse of 7/9? (a) −7/9 (b) −9/7 (c) 9/7 (d) 7/9
  35. 35.What is (−1/3) + 2/9? (a) 1/9 (b) −1/9 (c) 1/12 (d) −5/9
  36. 36.What is (−1/6) + (−1/4)? (a) −5/12 (b) 1/12 (c) −1/5 (d) 5/12
  37. 37.What is (−3/8) + (−2/9)? (a) −11/72 (b) 43/72 (c) −5/17 (d) −43/72
  38. 38.What is 1/2 − (−1/5)? (a) −7/10 (b) 3/10 (c) 2/7 (d) 7/10
  39. 39.What is the reciprocal (multiplicative inverse) of 2/7? (a) −7/2 (b) 7/2 (c) −2/7 (d) 2/7
  40. 40.What is (−1/3) − (−1/8)? (a) −5/24 (b) 0 (c) 5/24 (d) −11/24

Answer key

  1. −3/5
  2. −5/7
  3. −1/3
  4. Positive
  5. −7/8
  6. −5/7
  7. −3/5
  8. −3/5
  9. −5/7
  10. −4/3
  11. −1/3
  12. −1/7
  13. Negative
  14. −7/9
  15. −15/14
  16. 2/3
  17. −33/40
  18. −8/9
  19. 2/5
  20. −3/2
  21. Negative
  22. −1/9
  23. 1/4
  24. −40/63
  25. 65/63
  26. −5/6
  27. Negative
  28. −19/18
  29. −8/9
  30. 5/6
  31. −9/8
  32. −16/45
  33. 8/3
  34. −7/9
  35. −1/9
  36. −5/12
  37. −43/72
  38. 7/10
  39. 7/2
  40. −5/24

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