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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 826 · 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 (−1/6) + (−5/9)? (a) −13/18 (b) 7/18 (c) −2/5 (d) 13/18
  2. 2.What is 1/5 − (−5/7)? (a) −18/35 (b) −32/35 (c) 32/35 (d) 1/2
  3. 3.Which is smaller: −3/7 or 7/9? (a) 7/9 (b) −3/7
  4. 4.What is the reciprocal (multiplicative inverse) of −2/7? (a) −2/7 (b) −7/2 (c) 2/7 (d) 7/2
  5. 5.Which is bigger: −7/9 or −1/5? (a) −1/5 (b) −7/9
  6. 6.Write −21/27 in standard form (lowest terms, positive denominator). (a) −9/7 (b) −21/27 (c) −7/9 (d) 7/9
  7. 7.Which is bigger: −4/5 or −7/9? (a) −4/5 (b) −7/9
  8. 8.Write 6/(−14) in standard form (lowest terms, positive denominator). (a) −7/3 (b) −3/7 (c) −6/14 (d) 3/7
  9. 9.What is (−1/7) + 3/4? (a) −17/28 (b) 17/28 (c) 2/11 (d) −25/28
  10. 10.What is the additive inverse of −1/2? (a) −1/2 (b) −2 (c) 1/2 (d) 2
  11. 11.What is 5/6 + (−4/5)? (a) 1/11 (b) 1/30 (c) −1/30 (d) 49/30
  12. 12.What is (−3/7) − 3/4? (a) 33/28 (b) −33/28 (c) 9/28 (d) −6/11
  13. 13.What is the additive inverse of 1/8? (a) 1/8 (b) 8 (c) −8 (d) −1/8
  14. 14.What is (−1/9) − 1/7? (a) 16/63 (b) −1/8 (c) −16/63 (d) 2/63
  15. 15.Which is smaller: −4/7 or 5/9? (a) 5/9 (b) −4/7
  16. 16.What is the additive inverse of 1/7? (a) −7 (b) 1/7 (c) −1/7 (d) 7
  17. 17.Is −7/2 positive or negative? (a) Positive (b) Negative
  18. 18.What is the reciprocal (multiplicative inverse) of 1/8? (a) −8 (b) 8 (c) 1/8 (d) −1/8
  19. 19.What is the additive inverse of 7/8? (a) 8/7 (b) 7/8 (c) −8/7 (d) −7/8
  20. 20.What is (−5/6) − 4/5? (a) 49/30 (b) −1/30 (c) −9/11 (d) −49/30
  21. 21.What is (−5/6) + (−3/5)? (a) 43/30 (b) −8/11 (c) −7/30 (d) −43/30
  22. 22.What is the reciprocal (multiplicative inverse) of 1/5? (a) −5 (b) −1/5 (c) 5 (d) 1/5
  23. 23.Is 4/(−4) positive or negative? (a) Positive (b) Negative
  24. 24.What is the reciprocal (multiplicative inverse) of 5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  25. 25.What is the additive inverse of 1/2? (a) 1/2 (b) −1/2 (c) −2 (d) 2
  26. 26.What is (−3/5) + 3/8? (a) 0 (b) 9/40 (c) −39/40 (d) −9/40
  27. 27.Write −4/6 in standard form (lowest terms, positive denominator). (a) −2/3 (b) −4/6 (c) −3/2 (d) 2/3
  28. 28.Is 3/(−8) positive or negative? (a) Positive (b) Negative
  29. 29.What is the additive inverse of 3/5? (a) −5/3 (b) −3/5 (c) 5/3 (d) 3/5
  30. 30.Write −6/30 in standard form (lowest terms, positive denominator). (a) −5/1 (b) −6/30 (c) 1/5 (d) −1/5
  31. 31.Write −2/8 in standard form (lowest terms, positive denominator). (a) −1/4 (b) −4/1 (c) −2/8 (d) 1/4
  32. 32.What is (−2/9) + (−3/5)? (a) 17/45 (b) −37/45 (c) 37/45 (d) −5/14
  33. 33.Write −8/20 in standard form (lowest terms, positive denominator). (a) −8/20 (b) −2/5 (c) 2/5 (d) −5/2
  34. 34.Write 10/(−14) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −5/7 (c) −10/14 (d) −7/5
  35. 35.Is −8/(−8) positive or negative? (a) Positive (b) Negative
  36. 36.What is (−1/2) + (−1/3)? (a) 5/6 (b) −2/5 (c) −1/6 (d) −5/6
  37. 37.What is (−1/3) + 4/7? (a) −5/21 (b) 3/10 (c) −19/21 (d) 5/21
  38. 38.What is (−1/9) + (−4/5)? (a) 41/45 (b) −41/45 (c) −5/14 (d) 31/45
  39. 39.What is (−4/9) − (−1/5)? (a) 11/45 (b) −11/45 (c) −29/45 (d) −3/14
  40. 40.Write 16/(−36) in standard form (lowest terms, positive denominator). (a) −16/36 (b) 4/9 (c) −9/4 (d) −4/9

Answer key

  1. −13/18
  2. 32/35
  3. −3/7
  4. −7/2
  5. −1/5
  6. −7/9
  7. −7/9
  8. −3/7
  9. 17/28
  10. 1/2
  11. 1/30
  12. −33/28
  13. −1/8
  14. −16/63
  15. −4/7
  16. −1/7
  17. Negative
  18. 8
  19. −7/8
  20. −49/30
  21. −43/30
  22. 5
  23. Negative
  24. 9/5
  25. −1/2
  26. −9/40
  27. −2/3
  28. Negative
  29. −3/5
  30. −1/5
  31. −1/4
  32. −37/45
  33. −2/5
  34. −5/7
  35. Positive
  36. −5/6
  37. 5/21
  38. −41/45
  39. −11/45
  40. −4/9

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