Solve 75/262.5/frac{15{37.5}}

$$\frac { \frac { 75 } { 262.5 } } { \frac { 15 } { 37.5 } }$$

Evaluate

$$\frac{5}{7}\approx 0.714285714$$

Solution Steps

Divide \frac{75}{262.5} by \frac{15}{37.5} by multiplying \frac{75}{262.5} by the reciprocal of \frac{15}{37.5}.

$$\frac{75\times 37.5}{262.5\times 15}$$

Cancel out 15 in both numerator and denominator.

$$\frac{5\times 37.5}{262.5}$$

Multiply 5 and 37.5 to get 187.5.

$$\frac{187.5}{262.5}$$

Expand \frac{187.5}{262.5} by multiplying both numerator and the denominator by 10.

$$\frac{1875}{2625}$$

Reduce the fraction \frac{1875}{2625} to lowest terms by extracting and canceling out 375.

$$\frac{5}{7}$$

Factor

$$\frac{5}{7} = 0.7142857142857143$$