Solve 37.5div(5/4*8^3/1)

$$37.5 \div ( \frac { 5 } { 4 } \times \frac { 8 ^ { 3 } } { 1 } )$$

Evaluate

$$0.05859375$$

Solution Steps

Calculate 8 to the power of 3 and get 512.

$$\frac{37.5}{\frac{5}{4}\times \frac{512}{1}}$$

Anything divided by one gives itself.

$$\frac{37.5}{\frac{5}{4}\times 512}$$

Express \frac{5}{4}\times 512 as a single fraction.

$$\frac{37.5}{\frac{5\times 512}{4}}$$

Multiply 5 and 512 to get 2560.

$$\frac{37.5}{\frac{2560}{4}}$$

Divide 2560 by 4 to get 640.

$$\frac{37.5}{640}$$

Expand \frac{37.5}{640} by multiplying both numerator and the denominator by 10.

$$\frac{375}{6400}$$

Reduce the fraction \frac{375}{6400} to lowest terms by extracting and canceling out 25.

$$\frac{15}{256}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {8}} = 0.05859375$$