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Which values of a b and c.correctly represents the answer in simplest form. 3 1/2 divided by 2 1/4 = a b/ c

1 Answer

13 votes

Answer:

Comparing the L.H.S with the R.H.S

  • a = 1
  • b = 5
  • c = 9

Explanation:

Given

3 1/2 divided by 2 1/4 = a b/ c

solving the left-hand side of the equation


3(1)/(2)/ \:2(1)/(4)

Convert mixed numbers to improper fractions


  • 3(1)/(2)=(7)/(2)

  • 2(1)/(4)=(9)/(4)

so the expression becomes


3(1)/(2)\:/ 2(1)/(4)=(7)/(2)/ \:(9)/(4)

Apply the fraction rule:
(a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)


=(7)/(2)* (4)/(9)

Cross cancel the common factor


=(7)/(1)* (2)/(9)

Multiply fractions:
(a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)


=(7* \:2)/(1* \:9)


=(14)/(9)

Convert improper fractions to mixed numbers


=1(5)/(9)

Thus, the main expression becomes


\:1(5)/(9)=a(b)/(c)

Thus, comparing the L.H.S with the R.H.S

  • a = 1
  • b = 5
  • c = 9
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