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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 977 · 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 (−2/7) + (−1/5)? (a) −17/35 (b) −3/35 (c) −1/4 (d) 17/35
  2. 2.What is (−3/5) − 1/9? (a) −32/45 (b) −2/7 (c) 32/45 (d) −22/45
  3. 3.What is (−2/9) − 4/9? (a) −1/3 (b) −2/3 (c) 2/3 (d) 2/9
  4. 4.What is (−1/8) + (−3/8)? (a) 1/4 (b) 1/2 (c) −1/4 (d) −1/2
  5. 5.Is 4/8 positive or negative? (a) Positive (b) Negative
  6. 6.What is the additive inverse of −7/9? (a) 9/7 (b) −9/7 (c) −7/9 (d) 7/9
  7. 7.Write −3/15 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −3/15 (c) 1/5 (d) −1/5
  8. 8.What is the additive inverse of −5/6? (a) 5/6 (b) −5/6 (c) 6/5 (d) −6/5
  9. 9.Write 15/(−24) in standard form (lowest terms, positive denominator). (a) −5/8 (b) −15/24 (c) −8/5 (d) 5/8
  10. 10.Which is bigger: −4/9 or −5/6? (a) −5/6 (b) −4/9
  11. 11.Is −5/(−5) positive or negative? (a) Negative (b) Positive
  12. 12.Is −5/(−9) positive or negative? (a) Negative (b) Positive
  13. 13.Write 6/(−24) in standard form (lowest terms, positive denominator). (a) −1/4 (b) 1/4 (c) −6/24 (d) −4/1
  14. 14.What is the additive inverse of 1/5? (a) −5 (b) −1/5 (c) 5 (d) 1/5
  15. 15.Which is smaller: −5/6 or −3/8? (a) −3/8 (b) −5/6
  16. 16.What is 3/4 + (−5/7)? (a) −2/11 (b) −1/28 (c) 1/28 (d) 41/28
  17. 17.Which is smaller: −3/7 or −4/5? (a) −3/7 (b) −4/5
  18. 18.Write 3/(−6) in standard form (lowest terms, positive denominator). (a) 1/2 (b) −2/1 (c) −3/6 (d) −1/2
  19. 19.Which is bigger: −6/7 or 5/9? (a) 5/9 (b) −6/7
  20. 20.Is −1/4 positive or negative? (a) Positive (b) Negative
  21. 21.What is 5/7 + (−5/7)? (a) 10/7 (b) 0
  22. 22.What is (−5/8) + 4/5? (a) −57/40 (b) −7/40 (c) −1/13 (d) 7/40
  23. 23.What is the additive inverse of −5/9? (a) −5/9 (b) −9/5 (c) 9/5 (d) 5/9
  24. 24.What is (−4/7) − (−2/3)? (a) −2/21 (b) 2/21 (c) −1/5 (d) −26/21
  25. 25.Which is bigger: −4/5 or −2/7? (a) −2/7 (b) −4/5
  26. 26.What is (−4/9) + 1/8? (a) −41/72 (b) 23/72 (c) −3/17 (d) −23/72
  27. 27.What is (−3/4) − (−1/9)? (a) 23/36 (b) −31/36 (c) −2/13 (d) −23/36
  28. 28.Which is bigger: −1/5 or −1/3? (a) −1/3 (b) −1/5
  29. 29.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −3/27 (b) −9/1 (c) 1/9 (d) −1/9
  30. 30.What is the additive inverse of 1/8? (a) −8 (b) 8 (c) −1/8 (d) 1/8
  31. 31.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) 2/7 (b) −2/7 (c) −7/2 (d) −6/21
  32. 32.What is the additive inverse of 3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  33. 33.Which is smaller: −8/9 or 2/9? (a) −8/9 (b) 2/9
  34. 34.Is −6/(−2) positive or negative? (a) Negative (b) Positive
  35. 35.What is 2/5 − (−3/7)? (a) 5/12 (b) −29/35 (c) 29/35 (d) −1/35
  36. 36.What is the reciprocal (multiplicative inverse) of −3/7? (a) 7/3 (b) 3/7 (c) −3/7 (d) −7/3
  37. 37.Write 42/(−48) in standard form (lowest terms, positive denominator). (a) −8/7 (b) −7/8 (c) 7/8 (d) −42/48
  38. 38.Write −6/12 in standard form (lowest terms, positive denominator). (a) −1/2 (b) 1/2 (c) −6/12 (d) −2/1
  39. 39.Which is smaller: −4/7 or −1/8? (a) −1/8 (b) −4/7
  40. 40.Write −24/42 in standard form (lowest terms, positive denominator). (a) 4/7 (b) −4/7 (c) −7/4 (d) −24/42

Answer key

  1. −17/35
  2. −32/45
  3. −2/3
  4. −1/2
  5. Positive
  6. 7/9
  7. −1/5
  8. 5/6
  9. −5/8
  10. −4/9
  11. Positive
  12. Positive
  13. −1/4
  14. −1/5
  15. −5/6
  16. 1/28
  17. −4/5
  18. −1/2
  19. 5/9
  20. Negative
  21. 0
  22. 7/40
  23. 5/9
  24. 2/21
  25. −2/7
  26. −23/72
  27. −23/36
  28. −1/5
  29. −1/9
  30. −1/8
  31. −2/7
  32. −3/4
  33. −8/9
  34. Positive
  35. 29/35
  36. −7/3
  37. −7/8
  38. −1/2
  39. −4/7
  40. −4/7

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