Solve 2/3*5/4:9/10

$$\frac { 2 } { 3 } \times \frac { 5 } { 4 } : \frac { 9 } { 10 }$$

Evaluate

$$\frac{25}{27}\approx 0.925925926$$

Solution Steps

Multiply \frac{2}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 5}{3\times 4}}{\frac{9}{10}}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 4}.

$$\frac{\frac{10}{12}}{\frac{9}{10}}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{5}{6}}{\frac{9}{10}}$$

Divide \frac{5}{6} by \frac{9}{10} by multiplying \frac{5}{6} by the reciprocal of \frac{9}{10}.

$$\frac{5}{6}\times \frac{10}{9}$$

Multiply \frac{5}{6} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 10}{6\times 9}$$

Do the multiplications in the fraction \frac{5\times 10}{6\times 9}.

$$\frac{50}{54}$$

Reduce the fraction \frac{50}{54} to lowest terms by extracting and canceling out 2.

$$\frac{25}{27}$$

Factor

$$\frac{5 ^ {2}}{3 ^ {3}} = 0.9259259259259259$$