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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 19 · 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 14/(−18) in standard form (lowest terms, positive denominator). (a) −9/7 (b) 7/9 (c) −7/9 (d) −14/18
  2. 2.What is the reciprocal (multiplicative inverse) of −6/7? (a) 7/6 (b) −7/6 (c) −6/7 (d) 6/7
  3. 3.What is 4/5 − (−2/7)? (a) 1/2 (b) −38/35 (c) 38/35 (d) 18/35
  4. 4.Which is smaller: −7/8 or 5/8? (a) −7/8 (b) 5/8
  5. 5.Which is bigger: −2/9 or −7/9? (a) −7/9 (b) −2/9
  6. 6.What is (−2/3) + 3/5? (a) −1/15 (b) −19/15 (c) 1/8 (d) 1/15
  7. 7.What is 2/7 + (−4/5)? (a) 38/35 (b) −18/35 (c) −1/6 (d) 18/35
  8. 8.What is (−8/9) + (−4/7)? (a) −3/4 (b) 92/63 (c) −20/63 (d) −92/63
  9. 9.What is 4/5 + (−4/5)? (a) 8/5 (b) 0
  10. 10.What is the reciprocal (multiplicative inverse) of −3/5? (a) 3/5 (b) 5/3 (c) −5/3 (d) −3/5
  11. 11.Is 5/(−6) positive or negative? (a) Positive (b) Negative
  12. 12.Is 5/5 positive or negative? (a) Positive (b) Negative
  13. 13.Write 8/(−12) in standard form (lowest terms, positive denominator). (a) 2/3 (b) −3/2 (c) −8/12 (d) −2/3
  14. 14.What is 2/9 − (−4/5)? (a) 46/45 (b) −46/45 (c) 3/7 (d) −26/45
  15. 15.What is the reciprocal (multiplicative inverse) of −4/7? (a) 4/7 (b) 7/4 (c) −7/4 (d) −4/7
  16. 16.Write −9/21 in standard form (lowest terms, positive denominator). (a) −3/7 (b) 3/7 (c) −9/21 (d) −7/3
  17. 17.Write 4/(−24) in standard form (lowest terms, positive denominator). (a) −4/24 (b) −6/1 (c) −1/6 (d) 1/6
  18. 18.What is (−5/7) − 1/9? (a) 52/63 (b) −3/8 (c) −52/63 (d) −38/63
  19. 19.What is 1/4 + (−5/7)? (a) −13/28 (b) 13/28 (c) 27/28 (d) −4/11
  20. 20.Is −9/(−4) positive or negative? (a) Positive (b) Negative
  21. 21.Write −3/18 in standard form (lowest terms, positive denominator). (a) −6/1 (b) 1/6 (c) −1/6 (d) −3/18
  22. 22.Write −10/14 in standard form (lowest terms, positive denominator). (a) −7/5 (b) −5/7 (c) −10/14 (d) 5/7
  23. 23.What is (−8/9) + 3/7? (a) 29/63 (b) −83/63 (c) −5/16 (d) −29/63
  24. 24.What is 4/5 − (−2/5)? (a) −6/5 (b) 2/5 (c) 6/5 (d) 3/5
  25. 25.What is the reciprocal (multiplicative inverse) of 4/7? (a) 4/7 (b) −7/4 (c) −4/7 (d) 7/4
  26. 26.What is the additive inverse of 3/8? (a) 3/8 (b) −8/3 (c) 8/3 (d) −3/8
  27. 27.Write −6/42 in standard form (lowest terms, positive denominator). (a) −6/42 (b) 1/7 (c) −7/1 (d) −1/7
  28. 28.What is (−5/6) − 5/9? (a) 25/18 (b) −5/18 (c) −25/18 (d) −2/3
  29. 29.Write −8/18 in standard form (lowest terms, positive denominator). (a) −4/9 (b) −9/4 (c) −8/18 (d) 4/9
  30. 30.What is (−1/6) + 8/9? (a) 7/15 (b) −19/18 (c) −13/18 (d) 13/18
  31. 31.Is 1/(−3) positive or negative? (a) Positive (b) Negative
  32. 32.What is (−3/8) + (−1/9)? (a) 35/72 (b) −35/72 (c) −19/72 (d) −4/17
  33. 33.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8
  34. 34.Is −4/7 positive or negative? (a) Negative (b) Positive
  35. 35.What is (−7/8) − 7/9? (a) 119/72 (b) −7/72 (c) −14/17 (d) −119/72
  36. 36.Which is bigger: −2/9 or 5/7? (a) 5/7 (b) −2/9
  37. 37.Write −4/12 in standard form (lowest terms, positive denominator). (a) −1/3 (b) 1/3 (c) −4/12 (d) −3/1
  38. 38.Is 1/(−8) positive or negative? (a) Positive (b) Negative
  39. 39.What is 2/7 + (−1/4)? (a) 1/11 (b) 15/28 (c) −1/28 (d) 1/28
  40. 40.Is 7/2 positive or negative? (a) Positive (b) Negative

Answer key

  1. −7/9
  2. −7/6
  3. 38/35
  4. −7/8
  5. −2/9
  6. −1/15
  7. −18/35
  8. −92/63
  9. 0
  10. −5/3
  11. Negative
  12. Positive
  13. −2/3
  14. 46/45
  15. −7/4
  16. −3/7
  17. −1/6
  18. −52/63
  19. −13/28
  20. Positive
  21. −1/6
  22. −5/7
  23. −29/63
  24. 6/5
  25. 7/4
  26. −3/8
  27. −1/7
  28. −25/18
  29. −4/9
  30. 13/18
  31. Negative
  32. −35/72
  33. 8
  34. Negative
  35. −119/72
  36. 5/7
  37. −1/3
  38. Negative
  39. 1/28
  40. Positive

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