Solve 8-4+16+32/10-64/6

$$8 - 4 + 16 + \frac { 32 } { 10 } - \frac { 64 } { 6 }$$

Evaluate

$$\frac{188}{15}\approx 12.533333333$$

Solution Steps

Subtract 4 from 8 to get 4.

$$4+16+\frac{32}{10}-\frac{64}{6}$$

Add 4 and 16 to get 20.

$$20+\frac{32}{10}-\frac{64}{6}$$

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

$$20+\frac{16}{5}-\frac{64}{6}$$

Convert 20 to fraction \frac{100}{5}.

$$\frac{100}{5}+\frac{16}{5}-\frac{64}{6}$$

Since \frac{100}{5} and \frac{16}{5} have the same denominator, add them by adding their numerators.

$$\frac{100+16}{5}-\frac{64}{6}$$

Add 100 and 16 to get 116.

$$\frac{116}{5}-\frac{64}{6}$$

Reduce the fraction \frac{64}{6} to lowest terms by extracting and canceling out 2.

$$\frac{116}{5}-\frac{32}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{116}{5} and \frac{32}{3} to fractions with denominator 15.

$$\frac{348}{15}-\frac{160}{15}$$

Since \frac{348}{15} and \frac{160}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{348-160}{15}$$

Subtract 160 from 348 to get 188.

$$\frac{188}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 47}{3 \cdot 5} = 12\frac{8}{15} = 12.533333333333333$$