Solve 15.5+(10/32(5))

$$15.5+( \frac{ 10 }{ 32 } (5))$$

Evaluate

$$17.0625$$

Solution Steps

Reduce the fraction \frac{10}{32} to lowest terms by extracting and canceling out 2.

$$15.5+\frac{5}{16}\times 5$$

Express \frac{5}{16}\times 5 as a single fraction.

$$15.5+\frac{5\times 5}{16}$$

Multiply 5 and 5 to get 25.

$$15.5+\frac{25}{16}$$

Convert decimal number 15.5 to fraction \frac{155}{10}. Reduce the fraction \frac{155}{10} to lowest terms by extracting and canceling out 5.

$$\frac{31}{2}+\frac{25}{16}$$

Least common multiple of 2 and 16 is 16. Convert \frac{31}{2} and \frac{25}{16} to fractions with denominator 16.

$$\frac{248}{16}+\frac{25}{16}$$

Since \frac{248}{16} and \frac{25}{16} have the same denominator, add them by adding their numerators.

$$\frac{248+25}{16}$$

Add 248 and 25 to get 273.

$$\frac{273}{16}$$

Factor

$$\frac{3 \cdot 7 \cdot 13}{2 ^ {4}} = 17\frac{1}{16} = 17.0625$$