Solve 15.7+3/10+4/10

$$15.7 + \frac { 3 } { 10 } + \frac { 4 } { 10 }$$

Evaluate

$$16.4$$

Solution Steps

Convert decimal number 15.7 to fraction \frac{157}{10}.

$$\frac{157}{10}+\frac{3}{10}+\frac{4}{10}$$

Since \frac{157}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{157+3}{10}+\frac{4}{10}$$

Add 157 and 3 to get 160.

$$\frac{160}{10}+\frac{4}{10}$$

Divide 160 by 10 to get 16.

$$16+\frac{4}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$16+\frac{2}{5}$$

Convert 16 to fraction \frac{80}{5}.

$$\frac{80}{5}+\frac{2}{5}$$

Since \frac{80}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{80+2}{5}$$

Add 80 and 2 to get 82.

$$\frac{82}{5}$$

Factor

$$\frac{2 \cdot 41}{5} = 16\frac{2}{5} = 16.4$$