Solve 1/12*(25/4*6)

$$\frac { 1 } { 12 } \times ( \frac { 25 } { 4 } \times 6 )$$

Evaluate

$$\frac{25}{8}=3.125$$

Solution Steps

Multiply \frac{1}{12} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 25}{12\times 4}\times 6$$

Do the multiplications in the fraction \frac{1\times 25}{12\times 4}.

$$\frac{25}{48}\times 6$$

Express \frac{25}{48}\times 6 as a single fraction.

$$\frac{25\times 6}{48}$$

Multiply 25 and 6 to get 150.

$$\frac{150}{48}$$

Reduce the fraction \frac{150}{48} to lowest terms by extracting and canceling out 6.

$$\frac{25}{8}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$