1/2 \: of \: 4 \: \: 2/9

Question

`1/2 \: of \: 4 \: \: 2/9`

Answer 1

The given expression is:

`(1)/(2)\;of\;4(2)/(9)`

The term 'of' in algebra means multiplication. So the expression becomes:

`(1)/(2)*4(2)/(9)`

Write the mixed fraction as an improper fraction:

`(1)/(2)*(38)/(9)`

Simplify the expression:

`\frac{1}{\cancel{2}}*\frac{\cancel{38}19}{9}=(19)/(9)=2(1)/(9)`

The answer is 2 1/9.