Solve (14/25*3)*(274/29*6)

$$( \frac{ 14 }{ 25 \times 3 } ) \times ( \frac{ 274 }{ 29 } \times 6)$$

Evaluate

$$\frac{7672}{725}\approx 10.582068966$$

Solution Steps

Multiply 25 and 3 to get 75.

$$\frac{14}{75}\times \frac{274}{29}\times 6$$

Multiply \frac{14}{75} times \frac{274}{29} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 274}{75\times 29}\times 6$$

Do the multiplications in the fraction \frac{14\times 274}{75\times 29}.

$$\frac{3836}{2175}\times 6$$

Express \frac{3836}{2175}\times 6 as a single fraction.

$$\frac{3836\times 6}{2175}$$

Multiply 3836 and 6 to get 23016.

$$\frac{23016}{2175}$$

Reduce the fraction \frac{23016}{2175} to lowest terms by extracting and canceling out 3.

$$\frac{7672}{725}$$

Factor

$$\frac{2 ^ {3} \cdot 7 \cdot 137}{5 ^ {2} \cdot 29} = 10\frac{422}{725} = 10.58206896551724$$