The value of 3+frac{3}{3+frac{1}{3+frac{1}{3} | vedclass

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Question

(B) To solve the expression $3+\frac{3}{3+\frac{1}{3+\frac{1}{3}}}$,we start from the bottom of the fraction.Step $1$: Simplify the lowest part,$3+\fr

Vedclass · Accepted Answer

$\frac{43}{11}$

Vedclass · Answer

(B) To solve the expression $3+\frac{3}{3+\frac{1}{3+\frac{1}{3}}}$,we start from the bottom of the fraction.Step $1$: Simplify the lowest part,$3+\frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}$.Step $2$: Substitute this back into the expression: $3+\frac{3}{3+\frac{1}{10/3}} = 3+\frac{3}{3+\frac{3}{10}}$.Step $3$: Simplify the denominator $3+\frac{3}{10} = \frac{30+3}{10} = \frac{33}{10}$.Step $4$: Substitute this back: $3+\frac{3}{33/10} = 3+3 	imes \frac{10}{33} = 3+\frac{10}{11}$.Step $5$: Final calculation: $3+\frac{10}{11} = \frac{33+10}{11} = \frac{43}{11}$.

The value of $3+\frac{3}{3+\frac{1}{3+\frac{1}{3}}}$ is:

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