Solve 187/42*55/6

$$\frac{ 187 }{ 42 } \times 5 \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{935}{36}\approx 25.972222222$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{187}{42}\times \frac{30+5}{6}$$

Add 30 and 5 to get 35.

$$\frac{187}{42}\times \frac{35}{6}$$

Multiply \frac{187}{42} times \frac{35}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{187\times 35}{42\times 6}$$

Do the multiplications in the fraction \frac{187\times 35}{42\times 6}.

$$\frac{6545}{252}$$

Reduce the fraction \frac{6545}{252} to lowest terms by extracting and canceling out 7.

$$\frac{935}{36}$$

Factor

$$\frac{5 \cdot 11 \cdot 17}{2 ^ {2} \cdot 3 ^ {2}} = 25\frac{35}{36} = 25.97222222222222$$