Solve (24.3*10^-3*0.1)*(35.5*64)/0.25

$$\frac { ( 24.3 \times 10 ^ { - 3 } \times 0.1 ) \times ( 35.5 \times 64 ) } { 0.25 }$$

Evaluate

$$22.08384$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{24.3\times \frac{1}{1000}\times 0.1\times 35.5\times 64}{0.25}$$

Multiply 24.3 and \frac{1}{1000} to get \frac{243}{10000}.

$$\frac{\frac{243}{10000}\times 0.1\times 35.5\times 64}{0.25}$$

Multiply \frac{243}{10000} and 0.1 to get \frac{243}{100000}.

$$\frac{\frac{243}{100000}\times 35.5\times 64}{0.25}$$

Multiply \frac{243}{100000} and 35.5 to get \frac{17253}{200000}.

$$\frac{\frac{17253}{200000}\times 64}{0.25}$$

Multiply \frac{17253}{200000} and 64 to get \frac{17253}{3125}.

$$\frac{\frac{17253}{3125}}{0.25}$$

Express \frac{\frac{17253}{3125}}{0.25} as a single fraction.

$$\frac{17253}{3125\times 0.25}$$

Multiply 3125 and 0.25 to get 781.25.

$$\frac{17253}{781.25}$$

Expand \frac{17253}{781.25} by multiplying both numerator and the denominator by 100.

$$\frac{1725300}{78125}$$

Reduce the fraction \frac{1725300}{78125} to lowest terms by extracting and canceling out 25.

$$\frac{69012}{3125}$$

Factor

$$\frac{71 \cdot 2 ^ {2} \cdot 3 ^ {5}}{5 ^ {5}} = 22\frac{262}{3125} = 22.08384$$