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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 76 · 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 (−2/3) + 3/5? (a) −1/15 (b) 1/15 (c) 1/8 (d) −19/15
  2. 2.Write −9/12 in standard form (lowest terms, positive denominator). (a) −4/3 (b) −3/4 (c) 3/4 (d) −9/12
  3. 3.What is (−5/6) + (−4/7)? (a) −9/13 (b) −59/42 (c) 59/42 (d) −11/42
  4. 4.Is 8/3 positive or negative? (a) Positive (b) Negative
  5. 5.What is the additive inverse of 1/6? (a) −1/6 (b) 6 (c) −6 (d) 1/6
  6. 6.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) −32/36 (d) 8/9
  7. 7.What is (−7/9) − 1/5? (a) −44/45 (b) −4/7 (c) 44/45 (d) −26/45
  8. 8.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −35/40 (c) −8/7 (d) −7/8
  9. 9.Is 9/(−3) positive or negative? (a) Negative (b) Positive
  10. 10.Which is bigger: −3/7 or 1/5? (a) −3/7 (b) 1/5
  11. 11.What is (−3/8) − (−1/8)? (a) −1/2 (b) −1/4 (c) 1/4 (d) −1/8
  12. 12.What is 5/8 + (−5/8)? (a) 5/4 (b) 0
  13. 13.Is −4/4 positive or negative? (a) Negative (b) Positive
  14. 14.Is 1/(−9) positive or negative? (a) Negative (b) Positive
  15. 15.Which is bigger: −1/9 or 3/8? (a) −1/9 (b) 3/8
  16. 16.Which is bigger: −1/3 or −2/5? (a) −1/3 (b) −2/5
  17. 17.Which is smaller: −1/2 or −3/5? (a) −1/2 (b) −3/5
  18. 18.Which is smaller: −4/7 or 3/5? (a) −4/7 (b) 3/5
  19. 19.What is (−2/3) − 2/7? (a) −8/21 (b) −2/5 (c) 20/21 (d) −20/21
  20. 20.What is (−3/7) + 7/9? (a) 1/4 (b) −22/63 (c) −76/63 (d) 22/63
  21. 21.Is 1/3 positive or negative? (a) Negative (b) Positive
  22. 22.Which is smaller: −4/5 or 1/9? (a) 1/9 (b) −4/5
  23. 23.Which is smaller: −3/7 or 1/9? (a) 1/9 (b) −3/7
  24. 24.Which is bigger: −5/9 or 7/9? (a) −5/9 (b) 7/9
  25. 25.Write −35/40 in standard form (lowest terms, positive denominator). (a) 7/8 (b) −35/40 (c) −7/8 (d) −8/7
  26. 26.What is (−5/8) − (−1/3)? (a) −7/24 (b) −23/24 (c) 7/24 (d) −4/11
  27. 27.What is the additive inverse of 1/4? (a) −1/4 (b) 1/4 (c) −4 (d) 4
  28. 28.Write 3/(−27) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −3/27 (c) −1/9 (d) 1/9
  29. 29.Write 4/(−28) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −4/28 (c) −1/7 (d) 1/7
  30. 30.What is (−3/7) + (−1/3)? (a) −2/21 (b) 16/21 (c) −2/5 (d) −16/21
  31. 31.Which is smaller: −3/8 or 4/5? (a) −3/8 (b) 4/5
  32. 32.Is −1/5 positive or negative? (a) Negative (b) Positive
  33. 33.What is the reciprocal (multiplicative inverse) of −1/4? (a) 4 (b) −4 (c) −1/4 (d) 1/4
  34. 34.Is 3/7 positive or negative? (a) Negative (b) Positive
  35. 35.What is (−1/7) + (−6/7)? (a) −1 (b) 1 (c) 5/7 (d) −1/2
  36. 36.What is (−4/9) + (−5/6)? (a) 23/18 (b) 7/18 (c) −3/5 (d) −23/18
  37. 37.Which is smaller: −3/4 or −5/9? (a) −3/4 (b) −5/9
  38. 38.What is 4/9 − (−3/7)? (a) −55/63 (b) 1/63 (c) 55/63 (d) 7/16
  39. 39.What is (−1/7) − 8/9? (a) −9/16 (b) 65/63 (c) −65/63 (d) 47/63
  40. 40.Which is smaller: −3/4 or −1/5? (a) −3/4 (b) −1/5

Answer key

  1. −1/15
  2. −3/4
  3. −59/42
  4. Positive
  5. −1/6
  6. −8/9
  7. −44/45
  8. −7/8
  9. Negative
  10. 1/5
  11. −1/4
  12. 0
  13. Negative
  14. Negative
  15. 3/8
  16. −1/3
  17. −3/5
  18. −4/7
  19. −20/21
  20. 22/63
  21. Positive
  22. −4/5
  23. −3/7
  24. 7/9
  25. −7/8
  26. −7/24
  27. −1/4
  28. −1/9
  29. −1/7
  30. −16/21
  31. −3/8
  32. Negative
  33. −4
  34. Positive
  35. −1
  36. −23/18
  37. −3/4
  38. 55/63
  39. −65/63
  40. −3/4

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