Solve 51/6*22/7

$$5 \frac{ 1 }{ 6 } \times 2 \frac{ 2 }{ 7 }$$

Evaluate

$$\frac{248}{21}\approx 11.80952381$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+1}{6}\times \frac{2\times 7+2}{7}$$

Add 30 and 1 to get 31.

$$\frac{31}{6}\times \frac{2\times 7+2}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{31}{6}\times \frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{31}{6}\times \frac{16}{7}$$

Multiply \frac{31}{6} times \frac{16}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 16}{6\times 7}$$

Do the multiplications in the fraction \frac{31\times 16}{6\times 7}.

$$\frac{496}{42}$$

Reduce the fraction \frac{496}{42} to lowest terms by extracting and canceling out 2.

$$\frac{248}{21}$$

Factor

$$\frac{2 ^ {3} \cdot 31}{3 \cdot 7} = 11\frac{17}{21} = 11.80952380952381$$