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

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

Evaluate

$$8$$

Solution Steps

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

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

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 2 to get 1.

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

Divide 4 by \frac{1}{2} by multiplying 4 by the reciprocal of \frac{1}{2}.

$$4\times 2$$

Multiply 4 and 2 to get 8.

$$8$$

Factor

$$2^{3}$$