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

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

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

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

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

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

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

Add 1 and 4 to get 5.

$$\frac{\frac{3}{4}}{\frac{5}{4}}$$

Divide \frac{3}{4} by \frac{5}{4} by multiplying \frac{3}{4} by the reciprocal of \frac{5}{4}.

$$\frac{3}{4}\times \frac{4}{5}$$

Multiply \frac{3}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{4\times 5}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$