Solve (2/3)/(frac{4{15})}=

$$\frac { ( \frac { 2 } { 3 } ) } { ( \frac { 4 } { 15 } ) } =$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Divide \frac{2}{3} by \frac{4}{15} by multiplying \frac{2}{3} by the reciprocal of \frac{4}{15}.

$$\frac{2}{3}\times \frac{15}{4}$$

Multiply \frac{2}{3} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 15}{3\times 4}$$

Do the multiplications in the fraction \frac{2\times 15}{3\times 4}.

$$\frac{30}{12}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$