Solve 11/6*7/5*10/12

$$\frac{ 11 }{ 6 } \times \frac{ 7 }{ 5 } \times \frac{ 10 }{ 12 }$$

Evaluate

$$\frac{77}{36}\approx 2.138888889$$

Solution Steps

Multiply \frac{11}{6} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 7}{6\times 5}\times \frac{10}{12}$$

Do the multiplications in the fraction \frac{11\times 7}{6\times 5}.

$$\frac{77}{30}\times \frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{77}{30}\times \frac{5}{6}$$

Multiply \frac{77}{30} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 5}{30\times 6}$$

Do the multiplications in the fraction \frac{77\times 5}{30\times 6}.

$$\frac{385}{180}$$

Reduce the fraction \frac{385}{180} to lowest terms by extracting and canceling out 5.

$$\frac{77}{36}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{5}{36} = 2.138888888888889$$