Solve: Product of Mixed Numbers 4¼ × 3⅔ × 3 1/17

$4\frac{1}{4}\cdot3\frac{4}{9}\cdot3\frac{1}{17}=\text{?}$

Multiply each fraction as follows:

Multiply the whole number by the denominator of the fraction and add the number in the numerator of the fraction.

That is:

$4\frac{1}{4}=\frac{4\times4+1}{4}=\frac{16+1}{4}=\frac{17}{4}$

$3\frac{4}{9}=\frac{9\times3+4}{9}=\frac{27+4}{9}=\frac{31}{9}$

$3\frac{1}{17}=\frac{17\times3+1}{17}=\frac{51+1}{17}=\frac{52}{17}$

Now we get the exercise:

$\frac{17}{4}\times\frac{31}{9}\times\frac{52}{17}=$

We simplify the 17 and get:

$\frac{31\times52}{4\times9}=\frac{52}{4}\times\frac{31}{9}=13\times\frac{31}{9}=\frac{403}{9}=44\frac{7}{9}$