Solve 25/16+24/16/frac{1{9}}

$$\frac { \frac { 25 } { 16 } + \frac { 24 } { 16 } } { \frac { 1 } { 9 } }$$

Evaluate

$$\frac{441}{16}=27.5625$$

Solution Steps

Since \frac{25}{16} and \frac{24}{16} have the same denominator, add them by adding their numerators.

$$\frac{\frac{25+24}{16}}{\frac{1}{9}}$$

Add 25 and 24 to get 49.

$$\frac{\frac{49}{16}}{\frac{1}{9}}$$

Divide \frac{49}{16} by \frac{1}{9} by multiplying \frac{49}{16} by the reciprocal of \frac{1}{9}.

$$\frac{49}{16}\times 9$$

Express \frac{49}{16}\times 9 as a single fraction.

$$\frac{49\times 9}{16}$$

Multiply 49 and 9 to get 441.

$$\frac{441}{16}$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {2}}{2 ^ {4}} = 27\frac{9}{16} = 27.5625$$