Solve 2(49/16)+8

$$2( \frac{ 49 }{ 16 } )+8$$

Evaluate

$$\frac{113}{8}=14.125$$

Solution Steps

Express 2\times \frac{49}{16} as a single fraction.

$$\frac{2\times 49}{16}+8$$

Multiply 2 and 49 to get 98.

$$\frac{98}{16}+8$$

Reduce the fraction \frac{98}{16} to lowest terms by extracting and canceling out 2.

$$\frac{49}{8}+8$$

Convert 8 to fraction \frac{64}{8}.

$$\frac{49}{8}+\frac{64}{8}$$

Since \frac{49}{8} and \frac{64}{8} have the same denominator, add them by adding their numerators.

$$\frac{49+64}{8}$$

Add 49 and 64 to get 113.

$$\frac{113}{8}$$

Factor

$$\frac{113}{2 ^ {3}} = 14\frac{1}{8} = 14.125$$