Solve 9/16+1/16*(2/8)^-1

$$\frac { 9 } { 16 } + \frac { 1 } { 16 } \cdot ( \frac { 2 } { 8 } ) ^ { - 1 }$$

Evaluate

$$\frac{13}{16}=0.8125$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{9}{16}+\frac{1}{16}\times \left(\frac{1}{4}\right)^{-1}$$

Calculate \frac{1}{4} to the power of -1 and get 4.

$$\frac{9}{16}+\frac{1}{16}\times 4$$

Multiply \frac{1}{16} and 4 to get \frac{1}{4}.

$$\frac{9}{16}+\frac{1}{4}$$

Add \frac{9}{16} and \frac{1}{4} to get \frac{13}{16}.

$$\frac{13}{16}$$

Factor

$$\frac{13}{2 ^ {4}} = 0.8125$$