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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 347 · 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 (−7/9) + (−1/8)? (a) −47/72 (b) −65/72 (c) 65/72 (d) −8/17
  2. 2.What is (−4/5) + 2/3? (a) −1/4 (b) 2/15 (c) −2/15 (d) −22/15
  3. 3.What is (−1/2) − 1/6? (a) −1/3 (b) −2/3 (c) 2/3 (d) −1/4
  4. 4.What is 1/4 + (−2/9)? (a) 17/36 (b) −1/36 (c) −1/13 (d) 1/36
  5. 5.What is (−5/9) − (−2/3)? (a) −1/9 (b) 1/9 (c) −1/4 (d) −11/9
  6. 6.What is (−4/9) − (−1/6)? (a) 5/18 (b) −1/5 (c) −11/18 (d) −5/18
  7. 7.What is 3/5 + (−1/2)? (a) 2/7 (b) 11/10 (c) −1/10 (d) 1/10
  8. 8.Is −2/3 positive or negative? (a) Positive (b) Negative
  9. 9.What is (−1/5) + 4/7? (a) −27/35 (b) 1/4 (c) −13/35 (d) 13/35
  10. 10.Write −21/24 in standard form (lowest terms, positive denominator). (a) −8/7 (b) −21/24 (c) 7/8 (d) −7/8
  11. 11.What is (−1/4) + (−1/5)? (a) 9/20 (b) −9/20 (c) −2/9 (d) −1/20
  12. 12.Which is smaller: −4/7 or −1/6? (a) −1/6 (b) −4/7
  13. 13.Which is bigger: −1/3 or 2/3? (a) −1/3 (b) 2/3
  14. 14.What is (−1/5) + 3/8? (a) 7/40 (b) −7/40 (c) −23/40 (d) 2/13
  15. 15.What is the additive inverse of −5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5
  16. 16.What is (−4/9) + 7/9? (a) −11/9 (b) 1/6 (c) −1/3 (d) 1/3
  17. 17.Is −7/(−3) positive or negative? (a) Negative (b) Positive
  18. 18.Write 10/(−15) in standard form (lowest terms, positive denominator). (a) −3/2 (b) −10/15 (c) 2/3 (d) −2/3
  19. 19.Is 8/6 positive or negative? (a) Negative (b) Positive
  20. 20.Is −8/8 positive or negative? (a) Negative (b) Positive
  21. 21.What is (−3/4) + (−4/7)? (a) −5/28 (b) −37/28 (c) 37/28 (d) −7/11
  22. 22.Is −1/9 positive or negative? (a) Positive (b) Negative
  23. 23.Write 35/(−40) in standard form (lowest terms, positive denominator). (a) 7/8 (b) −7/8 (c) −35/40 (d) −8/7
  24. 24.Is 7/(−7) positive or negative? (a) Positive (b) Negative
  25. 25.What is (−1/9) + 1/6? (a) 0 (b) 1/18 (c) −1/18 (d) −5/18
  26. 26.What is 8/9 + (−1/7)? (a) 65/63 (b) 47/63 (c) −47/63 (d) 7/16
  27. 27.Is −1/(−5) positive or negative? (a) Negative (b) Positive
  28. 28.Is 1/(−2) positive or negative? (a) Positive (b) Negative
  29. 29.What is (−4/5) − 5/6? (a) 49/30 (b) 1/30 (c) −49/30 (d) −9/11
  30. 30.What is (−5/6) − 1/6? (a) 1 (b) −1 (c) −1/2 (d) −2/3
  31. 31.What is the additive inverse of 5/8? (a) 5/8 (b) −8/5 (c) −5/8 (d) 8/5
  32. 32.Write 5/(−45) in standard form (lowest terms, positive denominator). (a) −9/1 (b) −5/45 (c) 1/9 (d) −1/9
  33. 33.What is the reciprocal (multiplicative inverse) of −7/9? (a) 7/9 (b) −9/7 (c) −7/9 (d) 9/7
  34. 34.Write −2/12 in standard form (lowest terms, positive denominator). (a) −6/1 (b) −2/12 (c) −1/6 (d) 1/6
  35. 35.Write −16/20 in standard form (lowest terms, positive denominator). (a) −5/4 (b) −4/5 (c) −16/20 (d) 4/5
  36. 36.Write −25/30 in standard form (lowest terms, positive denominator). (a) −6/5 (b) −25/30 (c) −5/6 (d) 5/6
  37. 37.What is 6/7 − (−1/5)? (a) 37/35 (b) −37/35 (c) 23/35 (d) 7/12
  38. 38.What is the reciprocal (multiplicative inverse) of −4/5? (a) 5/4 (b) −4/5 (c) −5/4 (d) 4/5
  39. 39.What is (−1/3) − (−2/3)? (a) −1/3 (b) 1/3 (c) −1 (d) 1/6
  40. 40.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −5/9 (c) 5/9 (d) −9/5

Answer key

  1. −65/72
  2. −2/15
  3. −2/3
  4. 1/36
  5. 1/9
  6. −5/18
  7. 1/10
  8. Negative
  9. 13/35
  10. −7/8
  11. −9/20
  12. −4/7
  13. 2/3
  14. 7/40
  15. 5/9
  16. 1/3
  17. Positive
  18. −2/3
  19. Positive
  20. Negative
  21. −37/28
  22. Negative
  23. −7/8
  24. Negative
  25. 1/18
  26. 47/63
  27. Positive
  28. Negative
  29. −49/30
  30. −1
  31. −5/8
  32. −1/9
  33. −9/7
  34. −1/6
  35. −4/5
  36. −5/6
  37. 37/35
  38. −5/4
  39. 1/3
  40. −9/5

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