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

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

Evaluate

$$\frac{12}{13}\approx 0.923076923$$

Solution Steps

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

$$\frac{4}{\frac{12}{3}+\frac{1}{3}}$$

Since \frac{12}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{4}{\frac{12+1}{3}}$$

Add 12 and 1 to get 13.

$$\frac{4}{\frac{13}{3}}$$

Divide 4 by \frac{13}{3} by multiplying 4 by the reciprocal of \frac{13}{3}.

$$4\times \frac{3}{13}$$

Express 4\times \frac{3}{13} as a single fraction.

$$\frac{4\times 3}{13}$$

Multiply 4 and 3 to get 12.

$$\frac{12}{13}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{13} = 0.9230769230769231$$