Solve 25*6div(14*6)+25*8^2+25%=

$$25 \times 6 \div (14 \times 6)+25 \times { 8 }^{ 2 } +25 \% =$$

Evaluate

$$\frac{44857}{28}\approx 1602.035714286$$

Solution Steps

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{25}{2\times 7}+25\times 8^{2}+\frac{25}{100}$$

Multiply 2 and 7 to get 14.

$$\frac{25}{14}+25\times 8^{2}+\frac{25}{100}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{25}{14}+25\times 64+\frac{25}{100}$$

Multiply 25 and 64 to get 1600.

$$\frac{25}{14}+1600+\frac{25}{100}$$

Convert 1600 to fraction \frac{22400}{14}.

$$\frac{25}{14}+\frac{22400}{14}+\frac{25}{100}$$

Since \frac{25}{14} and \frac{22400}{14} have the same denominator, add them by adding their numerators.

$$\frac{25+22400}{14}+\frac{25}{100}$$

Add 25 and 22400 to get 22425.

$$\frac{22425}{14}+\frac{25}{100}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{22425}{14}+\frac{1}{4}$$

Least common multiple of 14 and 4 is 28. Convert \frac{22425}{14} and \frac{1}{4} to fractions with denominator 28.

$$\frac{44850}{28}+\frac{7}{28}$$

Since \frac{44850}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{44850+7}{28}$$

Add 44850 and 7 to get 44857.

$$\frac{44857}{28}$$

Factor

$$\frac{31 \cdot 1447}{2 ^ {2} \cdot 7} = 1602\frac{1}{28} = 1602.0357142857142$$