Solve 3/4*2/3*1/100*1/4

$$\frac { 3 } { 4 } \times \frac { 2 } { 3 } \times \frac { 1 } { 100 } * \frac { 1 } { 4 }$$

Evaluate

$$\frac{1}{800}=0.00125$$

Solution Steps

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

$$\frac{3\times 2}{4\times 3}\times \frac{1}{100}\times \frac{1}{4}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{4}\times \frac{1}{100}\times \frac{1}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{1}{100}\times \frac{1}{4}$$

Multiply \frac{1}{2} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 100}\times \frac{1}{4}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 100}.

$$\frac{1}{200}\times \frac{1}{4}$$

Multiply \frac{1}{200} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{200\times 4}$$

Do the multiplications in the fraction \frac{1\times 1}{200\times 4}.

$$\frac{1}{800}$$

Factor

$$\frac{1}{2 ^ {5} \cdot 5 ^ {2}} = 0.00125$$