What is 2/(3+\frac{1){1+1/4}} ?

The solution to 2/(3+\frac{1){1+1/4}} is 10/19

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simplify 2/(3+\frac{1){1+1/4}}

simplify

\frac{2}{3 + \frac{1}{1 + \frac{1}{4}}}

\frac{10}{19}

Decimal Notation

0.52631 \dots

Solution steps

\frac{2}{3 + \frac{1}{1 + \frac{1}{4}}}

3 + \frac{1}{1 + \frac{1}{4}} = \frac{19}{5}

= \frac{2}{\frac{19}{5}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{2 \cdot 5}{19}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{10}{19}

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