Solve 32/5+4/3*8+2

$$\frac { 32 } { 5 } + \frac { 4 } { 3 } \cdot 8 + 2$$

Evaluate

$$\frac{286}{15}\approx 19.066666667$$

Solution Steps

Express \frac{4}{3}\times 8 as a single fraction.

$$\frac{32}{5}+\frac{4\times 8}{3}+2$$

Multiply 4 and 8 to get 32.

$$\frac{32}{5}+\frac{32}{3}+2$$

Least common multiple of 5 and 3 is 15. Convert \frac{32}{5} and \frac{32}{3} to fractions with denominator 15.

$$\frac{96}{15}+\frac{160}{15}+2$$

Since \frac{96}{15} and \frac{160}{15} have the same denominator, add them by adding their numerators.

$$\frac{96+160}{15}+2$$

Add 96 and 160 to get 256.

$$\frac{256}{15}+2$$

Convert 2 to fraction \frac{30}{15}.

$$\frac{256}{15}+\frac{30}{15}$$

Since \frac{256}{15} and \frac{30}{15} have the same denominator, add them by adding their numerators.

$$\frac{256+30}{15}$$

Add 256 and 30 to get 286.

$$\frac{286}{15}$$

Factor

$$\frac{2 \cdot 11 \cdot 13}{3 \cdot 5} = 19\frac{1}{15} = 19.066666666666666$$