Solve 22/7*6(6+10.82)

$$\frac{ 22 }{ 7 } \times 6(6+10.82)$$

Evaluate

$$\frac{55506}{175}\approx 317.177142857$$

Solution Steps

Express \frac{22}{7}\times 6 as a single fraction.

$$\frac{22\times 6}{7}\left(6+10.82\right)$$

Multiply 22 and 6 to get 132.

$$\frac{132}{7}\left(6+10.82\right)$$

Add 6 and 10.82 to get 16.82.

$$\frac{132}{7}\times 16.82$$

Convert decimal number 16.82 to fraction \frac{1682}{100}. Reduce the fraction \frac{1682}{100} to lowest terms by extracting and canceling out 2.

$$\frac{132}{7}\times \frac{841}{50}$$

Multiply \frac{132}{7} times \frac{841}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{132\times 841}{7\times 50}$$

Do the multiplications in the fraction \frac{132\times 841}{7\times 50}.

$$\frac{111012}{350}$$

Reduce the fraction \frac{111012}{350} to lowest terms by extracting and canceling out 2.

$$\frac{55506}{175}$$

Factor

$$\frac{2 \cdot 3 \cdot 11 \cdot 29 ^ {2}}{7 \cdot 5 ^ {2}} = 317\frac{31}{175} = 317.1771428571429$$