Solve 165/1000+16/10

$$\frac { 165 } { 1000 } + \frac { 16 } { 10 }$$

Evaluate

$$\frac{353}{200}=1.765$$

Solution Steps

Reduce the fraction \frac{165}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{33}{200}+\frac{16}{10}$$

Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{33}{200}+\frac{8}{5}$$

Least common multiple of 200 and 5 is 200. Convert \frac{33}{200} and \frac{8}{5} to fractions with denominator 200.

$$\frac{33}{200}+\frac{320}{200}$$

Since \frac{33}{200} and \frac{320}{200} have the same denominator, add them by adding their numerators.

$$\frac{33+320}{200}$$

Add 33 and 320 to get 353.

$$\frac{353}{200}$$

Factor

$$\frac{353}{2 ^ {3} \cdot 5 ^ {2}} = 1\frac{153}{200} = 1.765$$