Solve 22/7*6.5*2

$$\frac { 22 } { 7 } \times 6.5 \times 2$$

Evaluate

$$\frac{286}{7}\approx 40.857142857$$

Solution Steps

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{22}{7}\times \frac{13}{2}\times 2$$

Multiply \frac{22}{7} times \frac{13}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 13}{7\times 2}\times 2$$

Do the multiplications in the fraction \frac{22\times 13}{7\times 2}.

$$\frac{286}{14}\times 2$$

Reduce the fraction \frac{286}{14} to lowest terms by extracting and canceling out 2.

$$\frac{143}{7}\times 2$$

Express \frac{143}{7}\times 2 as a single fraction.

$$\frac{143\times 2}{7}$$

Multiply 143 and 2 to get 286.

$$\frac{286}{7}$$

Factor

$$\frac{2 \cdot 11 \cdot 13}{7} = 40\frac{6}{7} = 40.857142857142854$$