Solve 4/25*3/4div1/80

$$\frac { 4 } { 25 } \times \frac { 3 } { 4 } \div \frac { 1 } { 80 }$$

Evaluate

$$\frac{48}{5}=9.6$$

Solution Steps

Multiply \frac{4}{25} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4\times 3}{25\times 4}}{\frac{1}{80}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{3}{25}}{\frac{1}{80}}$$

Divide \frac{3}{25} by \frac{1}{80} by multiplying \frac{3}{25} by the reciprocal of \frac{1}{80}.

$$\frac{3}{25}\times 80$$

Express \frac{3}{25}\times 80 as a single fraction.

$$\frac{3\times 80}{25}$$

Multiply 3 and 80 to get 240.

$$\frac{240}{25}$$

Reduce the fraction \frac{240}{25} to lowest terms by extracting and canceling out 5.

$$\frac{48}{5}$$

Factor

$$\frac{2 ^ {4} \cdot 3}{5} = 9\frac{3}{5} = 9.6$$