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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 16 · 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 3/5 + (−3/7)? (a) −6/35 (b) 6/35 (c) 36/35 (d) 0
  2. 2.Write −12/14 in standard form (lowest terms, positive denominator). (a) −12/14 (b) 6/7 (c) −7/6 (d) −6/7
  3. 3.What is the reciprocal (multiplicative inverse) of 1/3? (a) −3 (b) −1/3 (c) 3 (d) 1/3
  4. 4.What is 4/9 + (−3/8)? (a) 1/17 (b) 5/72 (c) 59/72 (d) −5/72
  5. 5.What is (−1/8) − 4/5? (a) 37/40 (b) −5/13 (c) 27/40 (d) −37/40
  6. 6.What is 3/7 + (−5/6)? (a) 17/42 (b) −17/42 (c) −2/13 (d) 53/42
  7. 7.Which is bigger: −6/7 or 7/8? (a) −6/7 (b) 7/8
  8. 8.What is (−3/8) − 1/2? (a) 1/8 (b) 7/8 (c) −7/8 (d) −2/5
  9. 9.Which is smaller: −5/7 or −3/7? (a) −5/7 (b) −3/7
  10. 10.Is 1/4 positive or negative? (a) Negative (b) Positive
  11. 11.Is 7/7 positive or negative? (a) Positive (b) Negative
  12. 12.What is 5/7 + (−7/8)? (a) −9/56 (b) 89/56 (c) −2/15 (d) 9/56
  13. 13.Is −8/(−8) positive or negative? (a) Positive (b) Negative
  14. 14.What is (−4/5) + 1/5? (a) 3/5 (b) −1 (c) −3/10 (d) −3/5
  15. 15.What is (−7/9) + 4/5? (a) −3/14 (b) 1/45 (c) −71/45 (d) −1/45
  16. 16.Is −7/5 positive or negative? (a) Positive (b) Negative
  17. 17.Which is smaller: −1/2 or −8/9? (a) −1/2 (b) −8/9
  18. 18.What is 1/2 + (−5/6)? (a) −1/3 (b) 1/3 (c) 4/3 (d) −1/2
  19. 19.What is 8/9 − (−1/2)? (a) 7/18 (b) 9/11 (c) 25/18 (d) −25/18
  20. 20.What is the reciprocal (multiplicative inverse) of 3/4? (a) −4/3 (b) −3/4 (c) 3/4 (d) 4/3
  21. 21.Write 30/(−35) in standard form (lowest terms, positive denominator). (a) −30/35 (b) 6/7 (c) −6/7 (d) −7/6
  22. 22.What is (−1/8) + 8/9? (a) −73/72 (b) −55/72 (c) 7/17 (d) 55/72
  23. 23.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) 1/7 (b) −1/7 (c) −6/42 (d) −7/1
  24. 24.What is (−1/4) + 6/7? (a) −17/28 (b) −31/28 (c) 5/11 (d) 17/28
  25. 25.What is 1/3 − (−6/7)? (a) −11/21 (b) 25/21 (c) 7/10 (d) −25/21
  26. 26.What is 5/9 + (−2/3)? (a) −1/9 (b) 11/9 (c) 1/9 (d) 1/4
  27. 27.What is (−3/7) + 5/8? (a) 2/15 (b) 11/56 (c) −11/56 (d) −59/56
  28. 28.What is (−5/6) − 4/5? (a) −9/11 (b) −49/30 (c) 49/30 (d) −1/30
  29. 29.What is (−5/8) + 5/8? (a) −5/4 (b) 0
  30. 30.Is −3/4 positive or negative? (a) Positive (b) Negative
  31. 31.What is the reciprocal (multiplicative inverse) of 5/8? (a) −8/5 (b) −5/8 (c) 8/5 (d) 5/8
  32. 32.Which is bigger: −2/9 or −3/5? (a) −2/9 (b) −3/5
  33. 33.Is 9/5 positive or negative? (a) Negative (b) Positive
  34. 34.Write −24/30 in standard form (lowest terms, positive denominator). (a) −24/30 (b) −4/5 (c) 4/5 (d) −5/4
  35. 35.Is −3/6 positive or negative? (a) Negative (b) Positive
  36. 36.What is 4/9 − (−5/7)? (a) −73/63 (b) 9/16 (c) −17/63 (d) 73/63
  37. 37.What is the reciprocal (multiplicative inverse) of −1/5? (a) 5 (b) −1/5 (c) 1/5 (d) −5
  38. 38.What is (−5/6) + 8/9? (a) −31/18 (b) −1/18 (c) 1/18 (d) 1/5
  39. 39.What is 7/8 − (−2/7)? (a) 65/56 (b) −65/56 (c) 33/56 (d) 3/5
  40. 40.Is 6/4 positive or negative? (a) Positive (b) Negative

Answer key

  1. 6/35
  2. −6/7
  3. 3
  4. 5/72
  5. −37/40
  6. −17/42
  7. 7/8
  8. −7/8
  9. −5/7
  10. Positive
  11. Positive
  12. −9/56
  13. Positive
  14. −3/5
  15. 1/45
  16. Negative
  17. −8/9
  18. −1/3
  19. 25/18
  20. 4/3
  21. −6/7
  22. 55/72
  23. −1/7
  24. 17/28
  25. 25/21
  26. −1/9
  27. 11/56
  28. −49/30
  29. 0
  30. Negative
  31. 8/5
  32. −2/9
  33. Positive
  34. −4/5
  35. Negative
  36. 73/63
  37. −5
  38. 1/18
  39. 65/56
  40. Positive

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