Solve 10.65/frac{300{87}}

$$\frac { 10.65 } { \frac { 300 } { 87 } }$$

Evaluate

$$3.0885$$

Solution Steps

Divide 10.65 by \frac{300}{87} by multiplying 10.65 by the reciprocal of \frac{300}{87}.

$$\frac{10.65\times 87}{300}$$

Multiply 10.65 and 87 to get 926.55.

$$\frac{926.55}{300}$$

Expand \frac{926.55}{300} by multiplying both numerator and the denominator by 100.

$$\frac{92655}{30000}$$

Reduce the fraction \frac{92655}{30000} to lowest terms by extracting and canceling out 15.

$$\frac{6177}{2000}$$

Factor

$$\frac{3 \cdot 29 \cdot 71}{2 ^ {4} \cdot 5 ^ {3}} = 3\frac{177}{2000} = 3.0885$$