Solve 3678.75*2.5/24*11*52.0=

$$\frac { 3678.75 \cdot 2.5 } { 24 \cdot 11 \cdot 52.0 } =$$

Evaluate

$$\frac{24525}{36608}\approx 0.669935533$$

Solution Steps

Multiply 3678.75 and 2.5 to get 9196.875.

$$\frac{9196.875}{24\times 11\times 52}$$

Multiply 24 and 11 to get 264.

$$\frac{9196.875}{264\times 52}$$

Multiply 264 and 52 to get 13728.

$$\frac{9196.875}{13728}$$

Expand \frac{9196.875}{13728} by multiplying both numerator and the denominator by 1000.

$$\frac{9196875}{13728000}$$

Reduce the fraction \frac{9196875}{13728000} to lowest terms by extracting and canceling out 375.

$$\frac{24525}{36608}$$

Factor

$$\frac{109 \cdot 3 ^ {2} \cdot 5 ^ {2}}{11 \cdot 13 \cdot 2 ^ {8}} = 0.6699355332167832$$