Solve (40div25^2*314*2+314*40*50

$$( 40 \div 25 ^ { 2 } \times 314 \times 2 + 314 \times 40 \times 50$$

Evaluate

$$\frac{78505024}{125}=628040.192$$

Solution Steps

Calculate 25 to the power of 2 and get 625.

$$\frac{40}{625}\times 314\times 2+314\times 40\times 50$$

Reduce the fraction \frac{40}{625} to lowest terms by extracting and canceling out 5.

$$\frac{8}{125}\times 314\times 2+314\times 40\times 50$$

Express \frac{8}{125}\times 314 as a single fraction.

$$\frac{8\times 314}{125}\times 2+314\times 40\times 50$$

Multiply 8 and 314 to get 2512.

$$\frac{2512}{125}\times 2+314\times 40\times 50$$

Express \frac{2512}{125}\times 2 as a single fraction.

$$\frac{2512\times 2}{125}+314\times 40\times 50$$

Multiply 2512 and 2 to get 5024.

$$\frac{5024}{125}+314\times 40\times 50$$

Multiply 314 and 40 to get 12560.

$$\frac{5024}{125}+12560\times 50$$

Multiply 12560 and 50 to get 628000.

$$\frac{5024}{125}+628000$$

Convert 628000 to fraction \frac{78500000}{125}.

$$\frac{5024}{125}+\frac{78500000}{125}$$

Since \frac{5024}{125} and \frac{78500000}{125} have the same denominator, add them by adding their numerators.

$$\frac{5024+78500000}{125}$$

Add 5024 and 78500000 to get 78505024.

$$\frac{78505024}{125}$$

Factor

$$\frac{2 ^ {6} \cdot 13 \cdot 157 \cdot 601}{5 ^ {3}} = 628040\frac{24}{125} = 628040.192$$