Solve 81/16+303/16

$$8 \frac{ 1 }{ 16 } +30 \frac{ 3 }{ 16 }$$

Evaluate

$$\frac{153}{4}=38.25$$

Solution Steps

Multiply 8 and 16 to get 128.

$$\frac{128+1}{16}+\frac{30\times 16+3}{16}$$

Add 128 and 1 to get 129.

$$\frac{129}{16}+\frac{30\times 16+3}{16}$$

Multiply 30 and 16 to get 480.

$$\frac{129}{16}+\frac{480+3}{16}$$

Add 480 and 3 to get 483.

$$\frac{129}{16}+\frac{483}{16}$$

Since \frac{129}{16} and \frac{483}{16} have the same denominator, add them by adding their numerators.

$$\frac{129+483}{16}$$

Add 129 and 483 to get 612.

$$\frac{612}{16}$$

Reduce the fraction \frac{612}{16} to lowest terms by extracting and canceling out 4.

$$\frac{153}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 17}{2 ^ {2}} = 38\frac{1}{4} = 38.25$$