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

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

Evaluate

$$\frac{29}{10}=2.9$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 4 to get 3.

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

Divide 1 by \frac{3}{4} by multiplying 1 by the reciprocal of \frac{3}{4}.

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

Multiply 1 and \frac{4}{3} to get \frac{4}{3}.

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

Convert 2 to fraction \frac{6}{3}.

$$2+\frac{3}{\frac{6}{3}+\frac{4}{3}}$$

Since \frac{6}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$2+\frac{3}{\frac{6+4}{3}}$$

Add 6 and 4 to get 10.

$$2+\frac{3}{\frac{10}{3}}$$

Divide 3 by \frac{10}{3} by multiplying 3 by the reciprocal of \frac{10}{3}.

$$2+3\times \frac{3}{10}$$

Express 3\times \frac{3}{10} as a single fraction.

$$2+\frac{3\times 3}{10}$$

Multiply 3 and 3 to get 9.

$$2+\frac{9}{10}$$

Convert 2 to fraction \frac{20}{10}.

$$\frac{20}{10}+\frac{9}{10}$$

Since \frac{20}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.

$$\frac{20+9}{10}$$

Add 20 and 9 to get 29.

$$\frac{29}{10}$$

Factor

$$\frac{29}{2 \cdot 5} = 2\frac{9}{10} = 2.9$$