Solve 4/5:16/15-2/3=

$$\frac { 4 } { 5 } : \frac { 16 } { 15 } - \frac { 2 } { 3 } =$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Divide \frac{4}{5} by \frac{16}{15} by multiplying \frac{4}{5} by the reciprocal of \frac{16}{15}.

$$\frac{4}{5}\times \frac{15}{16}-\frac{2}{3}$$

Multiply \frac{4}{5} times \frac{15}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 15}{5\times 16}-\frac{2}{3}$$

Do the multiplications in the fraction \frac{4\times 15}{5\times 16}.

$$\frac{60}{80}-\frac{2}{3}$$

Reduce the fraction \frac{60}{80} to lowest terms by extracting and canceling out 20.

$$\frac{3}{4}-\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{9}{12}-\frac{8}{12}$$

Since \frac{9}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-8}{12}$$

Subtract 8 from 9 to get 1.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$