Solve 52/4-frac{4{5}}

$$\frac{ 52 }{ 4- \frac{ 4 }{ 5 } }$$

Evaluate

$$\frac{65}{4}=16.25$$

Solution Steps

Convert 4 to fraction \frac{20}{5}.

$$\frac{52}{\frac{20}{5}-\frac{4}{5}}$$

Since \frac{20}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52}{\frac{20-4}{5}}$$

Subtract 4 from 20 to get 16.

$$\frac{52}{\frac{16}{5}}$$

Divide 52 by \frac{16}{5} by multiplying 52 by the reciprocal of \frac{16}{5}.

$$52\times \frac{5}{16}$$

Express 52\times \frac{5}{16} as a single fraction.

$$\frac{52\times 5}{16}$$

Multiply 52 and 5 to get 260.

$$\frac{260}{16}$$

Reduce the fraction \frac{260}{16} to lowest terms by extracting and canceling out 4.

$$\frac{65}{4}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2}} = 16\frac{1}{4} = 16.25$$