Solve 315,25,30/5frac{5,25,10{1,5,2}}

$$\frac { 315,25,30 } { 5 \frac { 5,25,10 } { 1,5,2 } }$$

Evaluate

$$\frac{3783}{35}\approx 108.085714286$$

Solution Steps

Multiply 315.25 and 30 to get 9457.5.

$$\frac{9457.5}{5\times \frac{5.25\times 10}{1.5\times 2}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{9457.5}{5\times \frac{5\times 5.25}{1.5}}$$

Multiply 5 and 5.25 to get 26.25.

$$\frac{9457.5}{5\times \frac{26.25}{1.5}}$$

Expand \frac{26.25}{1.5} by multiplying both numerator and the denominator by 100.

$$\frac{9457.5}{5\times \frac{2625}{150}}$$

Reduce the fraction \frac{2625}{150} to lowest terms by extracting and canceling out 75.

$$\frac{9457.5}{5\times \frac{35}{2}}$$

Express 5\times \frac{35}{2} as a single fraction.

$$\frac{9457.5}{\frac{5\times 35}{2}}$$

Multiply 5 and 35 to get 175.

$$\frac{9457.5}{\frac{175}{2}}$$

Divide 9457.5 by \frac{175}{2} by multiplying 9457.5 by the reciprocal of \frac{175}{2}.

$$9457.5\times \frac{2}{175}$$

Convert decimal number 9457.5 to fraction \frac{94575}{10}. Reduce the fraction \frac{94575}{10} to lowest terms by extracting and canceling out 5.

$$\frac{18915}{2}\times \frac{2}{175}$$

Multiply \frac{18915}{2} times \frac{2}{175} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18915\times 2}{2\times 175}$$

Cancel out 2 in both numerator and denominator.

$$\frac{18915}{175}$$

Reduce the fraction \frac{18915}{175} to lowest terms by extracting and canceling out 5.

$$\frac{3783}{35}$$

Factor

$$\frac{3 \cdot 13 \cdot 97}{5 \cdot 7} = 108\frac{3}{35} = 108.08571428571429$$