Question

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

Answer 1

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