Solve 64/27+4/3-16

$$\frac { 64 } { 27 } + \frac { 4 } { 3 } - 16$$

Evaluate

$$-\frac{332}{27}\approx -12.296296296$$

Solution Steps

Least common multiple of 27 and 3 is 27. Convert \frac{64}{27} and \frac{4}{3} to fractions with denominator 27.

$$\frac{64}{27}+\frac{36}{27}-16$$

Since \frac{64}{27} and \frac{36}{27} have the same denominator, add them by adding their numerators.

$$\frac{64+36}{27}-16$$

Add 64 and 36 to get 100.

$$\frac{100}{27}-16$$

Convert 16 to fraction \frac{432}{27}.

$$\frac{100}{27}-\frac{432}{27}$$

Since \frac{100}{27} and \frac{432}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-432}{27}$$

Subtract 432 from 100 to get -332.

$$-\frac{332}{27}$$

Factor

$$-\frac{332}{27} = -12\frac{8}{27} = -12.296296296296296$$