Solve 90div20*3900+27009050div30125

$$90 \div 20 \times 3900 + 27009050 \div 30125$$

Evaluate

$$\frac{22228112}{1205}\approx 18446.565975104$$

Solution Steps

Reduce the fraction \frac{90}{20} to lowest terms by extracting and canceling out 10.

$$\frac{9}{2}\times 3900+\frac{27009050}{30125}$$

Express \frac{9}{2}\times 3900 as a single fraction.

$$\frac{9\times 3900}{2}+\frac{27009050}{30125}$$

Multiply 9 and 3900 to get 35100.

$$\frac{35100}{2}+\frac{27009050}{30125}$$

Divide 35100 by 2 to get 17550.

$$17550+\frac{27009050}{30125}$$

Reduce the fraction \frac{27009050}{30125} to lowest terms by extracting and canceling out 25.

$$17550+\frac{1080362}{1205}$$

Convert 17550 to fraction \frac{21147750}{1205}.

$$\frac{21147750}{1205}+\frac{1080362}{1205}$$

Since \frac{21147750}{1205} and \frac{1080362}{1205} have the same denominator, add them by adding their numerators.

$$\frac{21147750+1080362}{1205}$$

Add 21147750 and 1080362 to get 22228112.

$$\frac{22228112}{1205}$$

Factor

$$\frac{2 ^ {4} \cdot 17 \cdot 71 \cdot 1151}{5 \cdot 241} = 18446\frac{682}{1205} = 18446.565975103735$$