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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 955 · 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 1/7 − (−1/8)? (a) −15/56 (b) 2/15 (c) 15/56 (d) 1/56
  2. 2.Write 15/(−27) in standard form (lowest terms, positive denominator). (a) −15/27 (b) −5/9 (c) 5/9 (d) −9/5
  3. 3.Is −6/(−3) positive or negative? (a) Negative (b) Positive
  4. 4.What is (−1/4) − 1/6? (a) 5/12 (b) −5/12 (c) −1/12 (d) −1/5
  5. 5.Write −12/27 in standard form (lowest terms, positive denominator). (a) −12/27 (b) −4/9 (c) 4/9 (d) −9/4
  6. 6.What is (−3/5) − (−1/3)? (a) −1/4 (b) 4/15 (c) −4/15 (d) −14/15
  7. 7.Write −6/24 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −6/24 (d) 1/4
  8. 8.Is −3/(−6) positive or negative? (a) Positive (b) Negative
  9. 9.Which is smaller: −5/6 or −3/5? (a) −3/5 (b) −5/6
  10. 10.What is 6/7 + (−2/3)? (a) −4/21 (b) 4/21 (c) 2/5 (d) 32/21
  11. 11.Which is bigger: −5/7 or 1/4? (a) 1/4 (b) −5/7
  12. 12.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) 1/5 (b) −5/25 (c) −1/5 (d) −5/1
  13. 13.What is (−4/9) + (−1/2)? (a) −5/11 (b) 1/18 (c) −17/18 (d) 17/18
  14. 14.Is 4/4 positive or negative? (a) Negative (b) Positive
  15. 15.What is (−7/9) − 3/7? (a) −76/63 (b) 76/63 (c) −22/63 (d) −5/8
  16. 16.What is (−4/5) − (−1/8)? (a) −37/40 (b) 27/40 (c) −27/40 (d) −3/13
  17. 17.Write 3/(−24) in standard form (lowest terms, positive denominator). (a) 1/8 (b) −1/8 (c) −3/24 (d) −8/1
  18. 18.What is (−3/5) + 7/8? (a) −59/40 (b) −11/40 (c) 11/40 (d) 4/13
  19. 19.Which is smaller: −2/3 or 2/9? (a) −2/3 (b) 2/9
  20. 20.What is (−5/8) − 5/6? (a) 35/24 (b) 5/24 (c) −5/7 (d) −35/24
  21. 21.What is 7/8 + (−1/8)? (a) 3/4 (b) 3/8 (c) −3/4 (d) 1
  22. 22.What is (−3/5) + 1/9? (a) −32/45 (b) −1/7 (c) 22/45 (d) −22/45
  23. 23.What is (−5/6) − 7/9? (a) 29/18 (b) −29/18 (c) −1/18 (d) −4/5
  24. 24.What is (−3/7) + 2/7? (a) 1/7 (b) −5/7 (c) −1/14 (d) −1/7
  25. 25.Which is bigger: −5/6 or 2/3? (a) 2/3 (b) −5/6
  26. 26.Which is smaller: −6/7 or 1/3? (a) −6/7 (b) 1/3
  27. 27.Which is smaller: −3/4 or −1/8? (a) −1/8 (b) −3/4
  28. 28.What is (−5/8) + (−4/5)? (a) −57/40 (b) 7/40 (c) 57/40 (d) −9/13
  29. 29.What is the additive inverse of 1/9? (a) −1/9 (b) −9 (c) 1/9 (d) 9
  30. 30.Is −1/(−9) positive or negative? (a) Negative (b) Positive
  31. 31.What is (−3/7) − (−1/5)? (a) 8/35 (b) −1/6 (c) −8/35 (d) −22/35
  32. 32.Is 2/8 positive or negative? (a) Negative (b) Positive
  33. 33.Write −6/16 in standard form (lowest terms, positive denominator). (a) −8/3 (b) −6/16 (c) −3/8 (d) 3/8
  34. 34.What is (−2/7) − 1/4? (a) −1/28 (b) −3/11 (c) 15/28 (d) −15/28
  35. 35.Is 2/5 positive or negative? (a) Positive (b) Negative
  36. 36.Is −5/3 positive or negative? (a) Positive (b) Negative
  37. 37.Which is smaller: −8/9 or 4/5? (a) 4/5 (b) −8/9
  38. 38.Which is smaller: −2/7 or −3/5? (a) −3/5 (b) −2/7
  39. 39.What is the reciprocal (multiplicative inverse) of −1/8? (a) 8 (b) −1/8 (c) −8 (d) 1/8
  40. 40.Which is bigger: −1/5 or −1/3? (a) −1/3 (b) −1/5

Answer key

  1. 15/56
  2. −5/9
  3. Positive
  4. −5/12
  5. −4/9
  6. −4/15
  7. −1/4
  8. Positive
  9. −5/6
  10. 4/21
  11. 1/4
  12. −1/5
  13. −17/18
  14. Positive
  15. −76/63
  16. −27/40
  17. −1/8
  18. 11/40
  19. −2/3
  20. −35/24
  21. 3/4
  22. −22/45
  23. −29/18
  24. −1/7
  25. 2/3
  26. −6/7
  27. −3/4
  28. −57/40
  29. −1/9
  30. Positive
  31. −8/35
  32. Positive
  33. −3/8
  34. −15/28
  35. Positive
  36. Negative
  37. −8/9
  38. −3/5
  39. −8
  40. −1/5

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