Solve {r}{0.55}{*0.07}{0.108/.3}

$$\left. \begin{array} { r } { 0.55 } \\ { \times 0.07 } \\ { \frac { 0.108 } { .3 } } \end{array} \right.$$

Evaluate

$$0.01386$$

Solution Steps

Multiply 0.55 and 0.07 to get 0.0385.

$$0.0385\times \frac{0.108}{0.3}$$

Expand \frac{0.108}{0.3} by multiplying both numerator and the denominator by 1000.

$$0.0385\times \frac{108}{300}$$

Reduce the fraction \frac{108}{300} to lowest terms by extracting and canceling out 12.

$$0.0385\times \frac{9}{25}$$

Convert decimal number 0.0385 to fraction \frac{385}{10000}. Reduce the fraction \frac{385}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{77}{2000}\times \frac{9}{25}$$

Multiply \frac{77}{2000} times \frac{9}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 9}{2000\times 25}$$

Do the multiplications in the fraction \frac{77\times 9}{2000\times 25}.

$$\frac{693}{50000}$$

Factor

$$\frac{7 \cdot 11 \cdot 3 ^ {2}}{2 ^ {4} \cdot 5 ^ {5}} = 0.01386$$