Solve 3/4*4/5div5/6

$$\frac { 3 } { 4 } \times \frac { 4 } { 5 } \div \frac { 5 } { 6 }$$

Evaluate

$$\frac{18}{25}=0.72$$

Solution Steps

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

$$\frac{\frac{3\times 4}{4\times 5}}{\frac{5}{6}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{3}{5}}{\frac{5}{6}}$$

Divide \frac{3}{5} by \frac{5}{6} by multiplying \frac{3}{5} by the reciprocal of \frac{5}{6}.

$$\frac{3}{5}\times \frac{6}{5}$$

Multiply \frac{3}{5} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 6}{5\times 5}$$

Do the multiplications in the fraction \frac{3\times 6}{5\times 5}.

$$\frac{18}{25}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5 ^ {2}} = 0.72$$