Solve 105/6*11/7

$$10 \frac { 5 } { 6 } \times 1 \frac { 1 } { 7 }$$

Evaluate

$$\frac{260}{21}\approx 12.380952381$$

Solution Steps

Multiply 10 and 6 to get 60.

$$\frac{60+5}{6}\times \frac{1\times 7+1}{7}$$

Add 60 and 5 to get 65.

$$\frac{65}{6}\times \frac{1\times 7+1}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{65}{6}\times \frac{7+1}{7}$$

Add 7 and 1 to get 8.

$$\frac{65}{6}\times \frac{8}{7}$$

Multiply \frac{65}{6} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{65\times 8}{6\times 7}$$

Do the multiplications in the fraction \frac{65\times 8}{6\times 7}.

$$\frac{520}{42}$$

Reduce the fraction \frac{520}{42} to lowest terms by extracting and canceling out 2.

$$\frac{260}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 13}{3 \cdot 7} = 12\frac{8}{21} = 12.380952380952381$$