Solve 16+(29/29+21(4))

$$16+( \frac{ 29 }{ 29+21 } (4))$$

Evaluate

$$\frac{458}{25}=18.32$$

Solution Steps

Add 29 and 21 to get 50.

$$16+\frac{29}{50}\times 4$$

Express \frac{29}{50}\times 4 as a single fraction.

$$16+\frac{29\times 4}{50}$$

Multiply 29 and 4 to get 116.

$$16+\frac{116}{50}$$

Reduce the fraction \frac{116}{50} to lowest terms by extracting and canceling out 2.

$$16+\frac{58}{25}$$

Convert 16 to fraction \frac{400}{25}.

$$\frac{400}{25}+\frac{58}{25}$$

Since \frac{400}{25} and \frac{58}{25} have the same denominator, add them by adding their numerators.

$$\frac{400+58}{25}$$

Add 400 and 58 to get 458.

$$\frac{458}{25}$$

Factor

$$\frac{2 \cdot 229}{5 ^ {2}} = 18\frac{8}{25} = 18.32$$