# How do you evaluate \frac { 18} { 8} \times \frac { 3} { 9}?

Nov 27, 2017

$\frac{3}{4}$

#### Explanation:

First, try to see whether any of the fractions could be simplified.
We see that 18 an 8 share a common factor of 2. Therefore,
we can simplify $\frac{18}{8}$ to $\frac{9}{4}$

Now, we could cross-simplify.

Since 18 and 9 share 9 as a common factor, divide both numbers by 9.
Now, the multiplication becomes $\frac{1}{4} \times \frac{3}{1}$
Multiply the denominators and the numerators to get $\frac{3}{4}$

(In this case, there was no need to simplify 3/9,but you could have done it and then multiply)

Nov 27, 2017

See a solution process below:

#### Explanation:

First, rewrite the expression and cancel common terms in the numerator and denominator:

$\frac{18}{8} \times \frac{3}{9} \implies \frac{9 \times 2}{8} \times \frac{3}{9} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}} \times \textcolor{b l u e}{\cancel{\textcolor{b l a c k}{2}}}}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{8}}} 4} \times \frac{3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}}} \implies \frac{1}{4} \times \frac{3}{1}$

We can now evaluate this as:

$\frac{1}{4} \times \frac{3}{1} \implies \frac{1 \times 3}{4 \times 1} \implies \frac{3}{4}$