Solve 8/267+17.2

$$\frac { 8 } { 267 } + 17.2$$

Evaluate

$$\frac{23002}{1335}\approx 17.229962547$$

Solution Steps

Convert decimal number 17.2 to fraction \frac{172}{10}. Reduce the fraction \frac{172}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{267}+\frac{86}{5}$$

Least common multiple of 267 and 5 is 1335. Convert \frac{8}{267} and \frac{86}{5} to fractions with denominator 1335.

$$\frac{40}{1335}+\frac{22962}{1335}$$

Since \frac{40}{1335} and \frac{22962}{1335} have the same denominator, add them by adding their numerators.

$$\frac{40+22962}{1335}$$

Add 40 and 22962 to get 23002.

$$\frac{23002}{1335}$$

Factor

$$\frac{2 \cdot 7 \cdot 31 \cdot 53}{3 \cdot 5 \cdot 89} = 17\frac{307}{1335} = 17.22996254681648$$