Question

Calculate the product of 8/15, 6/5, and 1/3. 

       A. 16/15   B. 16/75   C. 48/15   D. 48/30

Answer 1

$\frac{8}{15} * \frac{6}{5} * \frac{1}{3}$

First, I would multiply the last two fractions because they're smaller and easier to work with:

$\frac{8}{15} * \frac{6}{5} * \frac{1}{3} = \frac{8}{15} * \frac{6}{15}$

Now that we've simplified it, we could multiply these terms and simplify.  An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:

$\frac{8}{15} * \frac{6}{15} = \frac{8}{5} * \frac{2}{15}$

We can now multiply these terms:

$\frac{8}{5} * \frac{2}{15} = \frac{16}{75}$

The product of 8/15, 6/5, and 1/3 is B, 16/75.