Solve 416/900:625/10

$$\frac { 416 } { 900 } : \frac { 625 } { 10 }$$

Evaluate

$$\frac{208}{28125}\approx 0.007395556$$

Solution Steps

Divide \frac{416}{900} by \frac{625}{10} by multiplying \frac{416}{900} by the reciprocal of \frac{625}{10}.

$$\frac{416\times 10}{900\times 625}$$

Cancel out 4\times 5 in both numerator and denominator.

$$\frac{2\times 104}{45\times 625}$$

Multiply 2 and 104 to get 208.

$$\frac{208}{45\times 625}$$

Multiply 45 and 625 to get 28125.

$$\frac{208}{28125}$$

Factor

$$\frac{2 ^ {4} \cdot 13}{3 ^ {2} \cdot 5 ^ {5}} = 0.007395555555555555$$