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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 849 · 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 (−5/6) + 2/9? (a) −11/18 (b) −1/5 (c) 11/18 (d) −19/18
  2. 2.What is the additive inverse of −8/9? (a) 9/8 (b) −9/8 (c) −8/9 (d) 8/9
  3. 3.Is 7/(−9) positive or negative? (a) Positive (b) Negative
  4. 4.What is (−1/9) + 1/7? (a) −16/63 (b) −2/63 (c) 0 (d) 2/63
  5. 5.Write 16/(−18) in standard form (lowest terms, positive denominator). (a) −8/9 (b) −9/8 (c) 8/9 (d) −16/18
  6. 6.What is the additive inverse of 8/9? (a) −8/9 (b) −9/8 (c) 8/9 (d) 9/8
  7. 7.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  8. 8.Write −16/18 in standard form (lowest terms, positive denominator). (a) 8/9 (b) −9/8 (c) −16/18 (d) −8/9
  9. 9.Write 32/(−36) in standard form (lowest terms, positive denominator). (a) −9/8 (b) −8/9 (c) 8/9 (d) −32/36
  10. 10.Is 7/7 positive or negative? (a) Negative (b) Positive
  11. 11.What is (−4/5) + 4/7? (a) 8/35 (b) −8/35 (c) −48/35 (d) 0
  12. 12.What is (−3/4) − (−2/3)? (a) 1/12 (b) −1/7 (c) −1/12 (d) −17/12
  13. 13.What is the reciprocal (multiplicative inverse) of −5/9? (a) 9/5 (b) −5/9 (c) −9/5 (d) 5/9
  14. 14.What is the reciprocal (multiplicative inverse) of −5/7? (a) 5/7 (b) −5/7 (c) −7/5 (d) 7/5
  15. 15.What is 2/7 − (−2/5)? (a) 24/35 (b) −24/35 (c) −4/35 (d) 1/3
  16. 16.What is (−3/8) + (−3/4)? (a) 9/8 (b) 3/8 (c) −1/2 (d) −9/8
  17. 17.What is 4/5 − (−8/9)? (a) −4/45 (b) 6/7 (c) −76/45 (d) 76/45
  18. 18.Is 2/8 positive or negative? (a) Negative (b) Positive
  19. 19.Which is smaller: −1/8 or 7/9? (a) −1/8 (b) 7/9
  20. 20.What is 2/7 + (−1/7)? (a) 3/7 (b) 1/7 (c) −1/7 (d) 1/14
  21. 21.Which is smaller: −1/7 or 1/2? (a) 1/2 (b) −1/7
  22. 22.What is the additive inverse of 3/4? (a) −4/3 (b) 3/4 (c) −3/4 (d) 4/3
  23. 23.What is the reciprocal (multiplicative inverse) of 3/8? (a) 3/8 (b) −8/3 (c) −3/8 (d) 8/3
  24. 24.What is (−1/9) + 1/8? (a) −17/72 (b) −1/72 (c) 0 (d) 1/72
  25. 25.Write −5/45 in standard form (lowest terms, positive denominator). (a) −5/45 (b) 1/9 (c) −9/1 (d) −1/9
  26. 26.What is (−3/4) + (−1/4)? (a) 1 (b) −1/2 (c) −1
  27. 27.Write −2/6 in standard form (lowest terms, positive denominator). (a) −3/1 (b) 1/3 (c) −2/6 (d) −1/3
  28. 28.Which is bigger: −1/3 or −7/8? (a) −7/8 (b) −1/3
  29. 29.What is 8/9 − (−2/9)? (a) 5/9 (b) 2/3 (c) −10/9 (d) 10/9
  30. 30.What is (−5/9) − 1/8? (a) 49/72 (b) −31/72 (c) −49/72 (d) −6/17
  31. 31.What is (−5/9) + 2/3? (a) −11/9 (b) 1/9 (c) −1/4 (d) −1/9
  32. 32.What is (−2/7) + (−1/5)? (a) −1/4 (b) 17/35 (c) −3/35 (d) −17/35
  33. 33.Write −18/24 in standard form (lowest terms, positive denominator). (a) −18/24 (b) −3/4 (c) −4/3 (d) 3/4
  34. 34.What is (−1/5) + (−8/9)? (a) 49/45 (b) −9/14 (c) −49/45 (d) 31/45
  35. 35.Is −1/3 positive or negative? (a) Negative (b) Positive
  36. 36.What is the reciprocal (multiplicative inverse) of 5/6? (a) −6/5 (b) 5/6 (c) 6/5 (d) −5/6
  37. 37.Write −9/24 in standard form (lowest terms, positive denominator). (a) 3/8 (b) −8/3 (c) −3/8 (d) −9/24
  38. 38.Is −2/(−4) positive or negative? (a) Negative (b) Positive
  39. 39.Which is bigger: −1/3 or 1/7? (a) 1/7 (b) −1/3
  40. 40.What is 2/7 − (−8/9)? (a) 5/8 (b) 74/63 (c) −74/63 (d) −38/63

Answer key

  1. −11/18
  2. 8/9
  3. Negative
  4. 2/63
  5. −8/9
  6. −8/9
  7. Negative
  8. −8/9
  9. −8/9
  10. Positive
  11. −8/35
  12. −1/12
  13. −9/5
  14. −7/5
  15. 24/35
  16. −9/8
  17. 76/45
  18. Positive
  19. −1/8
  20. 1/7
  21. −1/7
  22. −3/4
  23. 8/3
  24. 1/72
  25. −1/9
  26. −1
  27. −1/3
  28. −1/3
  29. 10/9
  30. −49/72
  31. 1/9
  32. −17/35
  33. −3/4
  34. −49/45
  35. Negative
  36. 6/5
  37. −3/8
  38. Positive
  39. 1/7
  40. 74/63

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