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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 851 · 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.Write 2/(−12) in standard form (lowest terms, positive denominator). (a) 1/6 (b) −2/12 (c) −1/6 (d) −6/1
  2. 2.What is (−1/8) − (−3/5)? (a) 19/40 (b) 2/13 (c) −29/40 (d) −19/40
  3. 3.Write −5/30 in standard form (lowest terms, positive denominator). (a) −5/30 (b) −6/1 (c) 1/6 (d) −1/6
  4. 4.What is the additive inverse of 7/9? (a) −9/7 (b) 9/7 (c) 7/9 (d) −7/9
  5. 5.Which is smaller: −1/7 or 1/4? (a) 1/4 (b) −1/7
  6. 6.Is −2/(−8) positive or negative? (a) Negative (b) Positive
  7. 7.What is the reciprocal (multiplicative inverse) of −3/7? (a) −3/7 (b) 3/7 (c) −7/3 (d) 7/3
  8. 8.Write −6/15 in standard form (lowest terms, positive denominator). (a) 2/5 (b) −6/15 (c) −5/2 (d) −2/5
  9. 9.What is 1/3 − (−3/5)? (a) −4/15 (b) −14/15 (c) 1/2 (d) 14/15
  10. 10.What is the reciprocal (multiplicative inverse) of −5/8? (a) 8/5 (b) −8/5 (c) −5/8 (d) 5/8
  11. 11.Is −9/7 positive or negative? (a) Positive (b) Negative
  12. 12.What is the additive inverse of −3/8? (a) −8/3 (b) −3/8 (c) 8/3 (d) 3/8
  13. 13.What is (−1/4) + 3/8? (a) −5/8 (b) 1/8 (c) 1/6 (d) −1/8
  14. 14.What is the reciprocal (multiplicative inverse) of −1/3? (a) 3 (b) −1/3 (c) 1/3 (d) −3
  15. 15.Write −42/48 in standard form (lowest terms, positive denominator). (a) −7/8 (b) −42/48 (c) −8/7 (d) 7/8
  16. 16.What is (−5/6) − 2/5? (a) −13/30 (b) −7/11 (c) 37/30 (d) −37/30
  17. 17.What is (−3/8) + (−5/9)? (a) 13/72 (b) 67/72 (c) −8/17 (d) −67/72
  18. 18.What is (−3/7) − (−5/9)? (a) 8/63 (b) 1/8 (c) −62/63 (d) −8/63
  19. 19.What is the reciprocal (multiplicative inverse) of 2/3? (a) 3/2 (b) −3/2 (c) −2/3 (d) 2/3
  20. 20.Is 8/5 positive or negative? (a) Positive (b) Negative
  21. 21.What is (−4/9) − (−2/5)? (a) −38/45 (b) −2/45 (c) −1/7 (d) 2/45
  22. 22.What is (−8/9) + 6/7? (a) −2/63 (b) −1/8 (c) 2/63 (d) −110/63
  23. 23.Which is bigger: −2/9 or 7/8? (a) −2/9 (b) 7/8
  24. 24.Which is smaller: −1/2 or 2/7? (a) 2/7 (b) −1/2
  25. 25.Is 4/(−2) positive or negative? (a) Negative (b) Positive
  26. 26.Is −7/(−7) positive or negative? (a) Negative (b) Positive
  27. 27.What is 1/6 + (−4/7)? (a) 31/42 (b) −3/13 (c) 17/42 (d) −17/42
  28. 28.What is (−4/9) − 1/5? (a) −5/14 (b) −11/45 (c) 29/45 (d) −29/45
  29. 29.What is 2/5 − (−5/6)? (a) −13/30 (b) 7/11 (c) 37/30 (d) −37/30
  30. 30.Which is bigger: −1/9 or 1/7? (a) −1/9 (b) 1/7
  31. 31.Which is smaller: −5/7 or −5/8? (a) −5/8 (b) −5/7
  32. 32.Which is smaller: −2/3 or −3/7? (a) −3/7 (b) −2/3
  33. 33.Is −9/5 positive or negative? (a) Negative (b) Positive
  34. 34.What is the additive inverse of −7/8? (a) −7/8 (b) 7/8 (c) 8/7 (d) −8/7
  35. 35.Write 5/(−25) in standard form (lowest terms, positive denominator). (a) −5/25 (b) −5/1 (c) −1/5 (d) 1/5
  36. 36.Write −5/25 in standard form (lowest terms, positive denominator). (a) −5/25 (b) −1/5 (c) −5/1 (d) 1/5
  37. 37.Is −3/3 positive or negative? (a) Positive (b) Negative
  38. 38.What is (−3/4) + 4/9? (a) 1/13 (b) −11/36 (c) 11/36 (d) −43/36
  39. 39.What is (−2/9) + 1/5? (a) −1/14 (b) −1/45 (c) −19/45 (d) 1/45
  40. 40.Which is bigger: −1/3 or −4/5? (a) −4/5 (b) −1/3

Answer key

  1. −1/6
  2. 19/40
  3. −1/6
  4. −7/9
  5. −1/7
  6. Positive
  7. −7/3
  8. −2/5
  9. 14/15
  10. −8/5
  11. Negative
  12. 3/8
  13. 1/8
  14. −3
  15. −7/8
  16. −37/30
  17. −67/72
  18. 8/63
  19. 3/2
  20. Positive
  21. −2/45
  22. −2/63
  23. 7/8
  24. −1/2
  25. Negative
  26. Positive
  27. −17/42
  28. −29/45
  29. 37/30
  30. 1/7
  31. −5/7
  32. −2/3
  33. Negative
  34. 7/8
  35. −1/5
  36. −1/5
  37. Negative
  38. −11/36
  39. −1/45
  40. −1/3

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