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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 530 · 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 (−1/8) + (−1/6)? (a) 7/24 (b) 1/24 (c) −1/7 (d) −7/24
  2. 2.What is (−1/6) + (−8/9)? (a) −19/18 (b) 13/18 (c) −3/5 (d) 19/18
  3. 3.Write −20/45 in standard form (lowest terms, positive denominator). (a) 4/9 (b) −4/9 (c) −20/45 (d) −9/4
  4. 4.What is 2/3 + (−1/4)? (a) −5/12 (b) 11/12 (c) 1/7 (d) 5/12
  5. 5.Which is bigger: −6/7 or −3/5? (a) −3/5 (b) −6/7
  6. 6.Is 8/4 positive or negative? (a) Positive (b) Negative
  7. 7.Write −3/21 in standard form (lowest terms, positive denominator). (a) −7/1 (b) −1/7 (c) −3/21 (d) 1/7
  8. 8.Which is bigger: −3/4 or −4/7? (a) −3/4 (b) −4/7
  9. 9.What is (−2/3) + 4/7? (a) 1/5 (b) −26/21 (c) −2/21 (d) 2/21
  10. 10.What is (−4/9) + 2/9? (a) −2/9 (b) −2/3 (c) 2/9 (d) −1/9
  11. 11.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) −5/4 (c) 4/5 (d) −4/5
  12. 12.What is 1/3 − (−5/9)? (a) 8/9 (b) −8/9 (c) 1/2 (d) −2/9
  13. 13.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) 1/8 (c) 8 (d) −1/8
  14. 14.Write −2/10 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −2/10 (c) −1/5 (d) 1/5
  15. 15.What is the reciprocal (multiplicative inverse) of 1/7? (a) 7 (b) −1/7 (c) −7 (d) 1/7
  16. 16.Write −6/12 in standard form (lowest terms, positive denominator). (a) −2/1 (b) 1/2 (c) −6/12 (d) −1/2
  17. 17.Which is bigger: −3/7 or −1/4? (a) −1/4 (b) −3/7
  18. 18.Which is bigger: −1/6 or 5/8? (a) −1/6 (b) 5/8
  19. 19.Is −7/(−7) positive or negative? (a) Positive (b) Negative
  20. 20.Which is smaller: −5/6 or −3/4? (a) −3/4 (b) −5/6
  21. 21.Which is smaller: −5/6 or −4/7? (a) −5/6 (b) −4/7
  22. 22.What is (−3/4) − (−4/5)? (a) −1/20 (b) 1/9 (c) −31/20 (d) 1/20
  23. 23.What is the additive inverse of −4/5? (a) 5/4 (b) 4/5 (c) −5/4 (d) −4/5
  24. 24.Which is bigger: −4/5 or −7/8? (a) −4/5 (b) −7/8
  25. 25.What is (−7/8) + (−2/9)? (a) 79/72 (b) −79/72 (c) −9/17 (d) −47/72
  26. 26.Which is bigger: −2/5 or −5/8? (a) −2/5 (b) −5/8
  27. 27.Which is smaller: −2/7 or 3/7? (a) −2/7 (b) 3/7
  28. 28.Which is bigger: −1/3 or −1/9? (a) −1/9 (b) −1/3
  29. 29.What is (−5/9) + 1/4? (a) −11/36 (b) −4/13 (c) 11/36 (d) −29/36
  30. 30.What is 1/9 + (−2/9)? (a) 1/9 (b) 1/3 (c) −1/18 (d) −1/9
  31. 31.Which is bigger: −5/6 or 6/7? (a) −5/6 (b) 6/7
  32. 32.What is (−2/3) − 5/8? (a) 31/24 (b) −7/11 (c) −31/24 (d) −1/24
  33. 33.What is (−3/5) + (−1/3)? (a) −4/15 (b) −14/15 (c) −1/2 (d) 14/15
  34. 34.What is the reciprocal (multiplicative inverse) of 3/4? (a) 3/4 (b) −4/3 (c) −3/4 (d) 4/3
  35. 35.What is 1/7 + (−3/5)? (a) −1/6 (b) 16/35 (c) −16/35 (d) 26/35
  36. 36.What is (−4/5) − (−1/8)? (a) −27/40 (b) −3/13 (c) −37/40 (d) 27/40
  37. 37.What is the additive inverse of 7/9? (a) 7/9 (b) 9/7 (c) −9/7 (d) −7/9
  38. 38.What is (−3/5) − 4/9? (a) −1/2 (b) −47/45 (c) −7/45 (d) 47/45
  39. 39.What is 3/8 + (−5/8)? (a) −1/4 (b) 1 (c) −1/8 (d) 1/4
  40. 40.Is 3/(−7) positive or negative? (a) Positive (b) Negative

Answer key

  1. −7/24
  2. −19/18
  3. −4/9
  4. 5/12
  5. −3/5
  6. Positive
  7. −1/7
  8. −4/7
  9. −2/21
  10. −2/9
  11. −4/5
  12. 8/9
  13. 8
  14. −1/5
  15. 7
  16. −1/2
  17. −1/4
  18. 5/8
  19. Positive
  20. −5/6
  21. −5/6
  22. 1/20
  23. 4/5
  24. −4/5
  25. −79/72
  26. −2/5
  27. −2/7
  28. −1/9
  29. −11/36
  30. −1/9
  31. 6/7
  32. −31/24
  33. −14/15
  34. 4/3
  35. −16/35
  36. −27/40
  37. −7/9
  38. −47/45
  39. −1/4
  40. Negative

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