Solve 8/2+4/64+5/16

$$\frac { 8 } { 2 } + \frac { 4 } { 64 } + \frac { 5 } { 16 }$$

Evaluate

$$\frac{35}{8}=4.375$$

Solution Steps

Divide 8 by 2 to get 4.

$$4+\frac{4}{64}+\frac{5}{16}$$

Reduce the fraction \frac{4}{64} to lowest terms by extracting and canceling out 4.

$$4+\frac{1}{16}+\frac{5}{16}$$

Convert 4 to fraction \frac{64}{16}.

$$\frac{64}{16}+\frac{1}{16}+\frac{5}{16}$$

Since \frac{64}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{64+1}{16}+\frac{5}{16}$$

Add 64 and 1 to get 65.

$$\frac{65}{16}+\frac{5}{16}$$

Since \frac{65}{16} and \frac{5}{16} have the same denominator, add them by adding their numerators.

$$\frac{65+5}{16}$$

Add 65 and 5 to get 70.

$$\frac{70}{16}$$

Reduce the fraction \frac{70}{16} to lowest terms by extracting and canceling out 2.

$$\frac{35}{8}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3}} = 4\frac{3}{8} = 4.375$$