The simplification of 1+frac{1}{1+frac{1}{1-f | vedclass

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Question

(C) To simplify the expression,we solve from the bottom up:$1$. First,simplify the innermost fraction: $1 - \frac{2}{3} = \frac{3-2}{3} = \frac{1}{3}$

Vedclass · Accepted Answer

$\frac{5}{4}$

Vedclass · Answer

(C) To simplify the expression,we solve from the bottom up:$1$. First,simplify the innermost fraction: $1 - \frac{2}{3} = \frac{3-2}{3} = \frac{1}{3}$.$2$. Substitute this back into the expression: $1 + \frac{1}{1 + \frac{1}{1/3}} = 1 + \frac{1}{1 + 3}$.$3$. Simplify the denominator: $1 + 3 = 4$.$4$. The expression becomes: $1 + \frac{1}{4}$.$5$. Finally,add the terms: $1 + \frac{1}{4} = \frac{4+1}{4} = \frac{5}{4}$.

The simplification of $1+\frac{1}{1+\frac{1}{1-\frac{2}{3}}}$ yields the result

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