Solve (4.925/3/15.6256)

$$( \frac { 4.925 } { 3 / 15.6256 } )$$

Evaluate

$$\frac{123125}{3128}\approx 39.362212276$$

Solution Steps

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4.925}{\frac{1}{5}\times 0.6256}$$

Convert decimal number 0.6256 to fraction \frac{6256}{10000}. Reduce the fraction \frac{6256}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{4.925}{\frac{1}{5}\times \frac{391}{625}}$$

Multiply \frac{1}{5} times \frac{391}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4.925}{\frac{1\times 391}{5\times 625}}$$

Do the multiplications in the fraction \frac{1\times 391}{5\times 625}.

$$\frac{4.925}{\frac{391}{3125}}$$

Divide 4.925 by \frac{391}{3125} by multiplying 4.925 by the reciprocal of \frac{391}{3125}.

$$4.925\times \frac{3125}{391}$$

Convert decimal number 4.925 to fraction \frac{4925}{1000}. Reduce the fraction \frac{4925}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{197}{40}\times \frac{3125}{391}$$

Multiply \frac{197}{40} times \frac{3125}{391} by multiplying numerator times numerator and denominator times denominator.

$$\frac{197\times 3125}{40\times 391}$$

Do the multiplications in the fraction \frac{197\times 3125}{40\times 391}.

$$\frac{615625}{15640}$$

Reduce the fraction \frac{615625}{15640} to lowest terms by extracting and canceling out 5.

$$\frac{123125}{3128}$$

Factor

$$\frac{197 \cdot 5 ^ {4}}{17 \cdot 23 \cdot 2 ^ {3}} = 39\frac{1133}{3128} = 39.362212276214834$$