Question

Reduce then multiply.

7/9 x 3/4 = ?

Example :

Answer 1

First, we are going to want to see if there are any terms we can simplify. By examining the numerators and denominators of our functions, we can see that we can remove a 3 from the denominator of the second function and the numerator of the first function. This would be represented as:

$\dfrac{7}{9} \cdot \dfrac{3}{4} = \dfrac{7}{3} \cdot \dfrac{1}{4}$

Now, we can multiply the fractions. Remember that to multiply fractions, simply multiply both the numerators over both the denominators, as shown below:

$\dfrac{a}{b} \cdot \dfrac{c}{d} = \dfrac{ac}{bd}$

By applying this information, we can solve for the product of the fractions:

$\dfrac{7}{3} \cdot \dfrac{1}{4} = \dfrac{7}{12}$

Our answer is $\boxed{\frac{7}{12}}$.