Solve 2=1+1/1/3+frac{1{4}}

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

Verify

Solution Steps

Divide 1 by 1 to get 1.

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

Add 1 and 1 to get 2.

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

Convert 3 to fraction \frac{12}{4}.

$$2=\frac{2}{\frac{12}{4}+\frac{1}{4}}$$

Since \frac{12}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$2=\frac{2}{\frac{12+1}{4}}$$

Add 12 and 1 to get 13.

$$2=\frac{2}{\frac{13}{4}}$$

Divide 2 by \frac{13}{4} by multiplying 2 by the reciprocal of \frac{13}{4}.

$$2=2\times \frac{4}{13}$$

Express 2\times \frac{4}{13} as a single fraction.

$$2=\frac{2\times 4}{13}$$

Multiply 2 and 4 to get 8.

$$2=\frac{8}{13}$$

Convert 2 to fraction \frac{26}{13}.

$$\frac{26}{13}=\frac{8}{13}$$

Compare \frac{26}{13} and \frac{8}{13}.

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