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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 47 · 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 5/9 + (−6/7)? (a) 89/63 (b) −19/63 (c) −1/16 (d) 19/63
  2. 2.Write −25/40 in standard form (lowest terms, positive denominator). (a) −25/40 (b) −8/5 (c) −5/8 (d) 5/8
  3. 3.What is (−1/4) + (−1/4)? (a) −1/2 (b) 0 (c) 1/2 (d) −1/4
  4. 4.Which is smaller: −5/7 or −3/4? (a) −3/4 (b) −5/7
  5. 5.What is the reciprocal (multiplicative inverse) of −1/7? (a) −7 (b) −1/7 (c) 7 (d) 1/7
  6. 6.What is (−6/7) − (−1/8)? (a) −55/56 (b) −1/3 (c) −41/56 (d) 41/56
  7. 7.What is (−5/6) + 7/9? (a) 1/18 (b) −29/18 (c) 2/15 (d) −1/18
  8. 8.What is 5/6 − (−3/4)? (a) 4/5 (b) −19/12 (c) 1/12 (d) 19/12
  9. 9.What is (−7/9) + 1/3? (a) −10/9 (b) 4/9 (c) −4/9 (d) −1/2
  10. 10.Write −6/16 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −3/8 (c) 3/8 (d) −6/16
  11. 11.Write 6/(−27) in standard form (lowest terms, positive denominator). (a) 2/9 (b) −9/2 (c) −6/27 (d) −2/9
  12. 12.Write −4/14 in standard form (lowest terms, positive denominator). (a) 2/7 (b) −7/2 (c) −2/7 (d) −4/14
  13. 13.What is the additive inverse of 5/8? (a) 5/8 (b) −5/8 (c) −8/5 (d) 8/5
  14. 14.Which is smaller: −4/9 or −1/8? (a) −4/9 (b) −1/8
  15. 15.What is (−3/4) + (−1/7)? (a) −25/28 (b) −4/11 (c) −17/28 (d) 25/28
  16. 16.What is 3/4 + (−5/7)? (a) −2/11 (b) −1/28 (c) 41/28 (d) 1/28
  17. 17.Is −8/(−5) positive or negative? (a) Positive (b) Negative
  18. 18.What is the additive inverse of −5/7? (a) 5/7 (b) −7/5 (c) 7/5 (d) −5/7
  19. 19.Is 1/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.Which is smaller: −1/9 or −1/7? (a) −1/9 (b) −1/7
  21. 21.What is (−1/5) + 1/4? (a) −1/20 (b) 1/20 (c) −9/20 (d) 0
  22. 22.Write 16/(−28) in standard form (lowest terms, positive denominator). (a) 4/7 (b) −7/4 (c) −4/7 (d) −16/28
  23. 23.Write 20/(−35) in standard form (lowest terms, positive denominator). (a) −7/4 (b) −20/35 (c) −4/7 (d) 4/7
  24. 24.Which is bigger: −1/6 or 7/9? (a) −1/6 (b) 7/9
  25. 25.Is −7/7 positive or negative? (a) Positive (b) Negative
  26. 26.What is 5/9 + (−1/3)? (a) 8/9 (b) −2/9 (c) 1/3 (d) 2/9
  27. 27.Which is bigger: −3/4 or −5/6? (a) −3/4 (b) −5/6
  28. 28.What is (−7/8) − 2/9? (a) 79/72 (b) −47/72 (c) −9/17 (d) −79/72
  29. 29.Which is smaller: −2/3 or 1/2? (a) −2/3 (b) 1/2
  30. 30.What is the reciprocal (multiplicative inverse) of −2/7? (a) −7/2 (b) 7/2 (c) 2/7 (d) −2/7
  31. 31.Which is bigger: −1/8 or −3/7? (a) −1/8 (b) −3/7
  32. 32.What is the reciprocal (multiplicative inverse) of −5/6? (a) 6/5 (b) −5/6 (c) −6/5 (d) 5/6
  33. 33.What is (−5/9) − (−1/8)? (a) 31/72 (b) −31/72 (c) −49/72 (d) −4/17
  34. 34.Is 5/8 positive or negative? (a) Positive (b) Negative
  35. 35.Is 8/(−3) positive or negative? (a) Negative (b) Positive
  36. 36.Which is bigger: −4/9 or 1/2? (a) 1/2 (b) −4/9
  37. 37.Write −2/16 in standard form (lowest terms, positive denominator). (a) −8/1 (b) −2/16 (c) −1/8 (d) 1/8
  38. 38.What is the additive inverse of 2/3? (a) 2/3 (b) −3/2 (c) −2/3 (d) 3/2
  39. 39.Write −3/18 in standard form (lowest terms, positive denominator). (a) 1/6 (b) −6/1 (c) −1/6 (d) −3/18
  40. 40.What is (−1/2) − (−5/6)? (a) −4/3 (b) −1/3 (c) 1/3 (d) 1/2

Answer key

  1. −19/63
  2. −5/8
  3. −1/2
  4. −3/4
  5. −7
  6. −41/56
  7. −1/18
  8. 19/12
  9. −4/9
  10. −3/8
  11. −2/9
  12. −2/7
  13. −5/8
  14. −4/9
  15. −25/28
  16. 1/28
  17. Positive
  18. 5/7
  19. Negative
  20. −1/7
  21. 1/20
  22. −4/7
  23. −4/7
  24. 7/9
  25. Negative
  26. 2/9
  27. −3/4
  28. −79/72
  29. −2/3
  30. −7/2
  31. −1/8
  32. −6/5
  33. −31/72
  34. Positive
  35. Negative
  36. 1/2
  37. −1/8
  38. −2/3
  39. −1/6
  40. 1/3

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