Renaming Fractions with a Specified Denominator

To add or subtract fractions, the denominators must be the same.
This lesson gives you practice renaming fractions with a desired denominator.

EXAMPLES:

Question: Write

$\,\displaystyle\frac{2}{7}\,$ with a denominator of $\,14\,$:

Solution:

$\displaystyle\frac{2}{7} = \frac{4}{14}$

The key is to multiply by

$\,1\,$ in the correct way!
The original denominator is $\,7\,$;
the desired denominator is $\,14\,$.
What must

$\,7\,$ be multiplied by, to get $\,14\,$? Answer: $\,2\,$

Thus, you multiply by

$\,1\,$ in the form of $\,\displaystyle\frac{2}{2}\,$, as shown below:

$\displaystyle\frac{2}{7} = \frac{2}{7}\cdot\frac{2}{2} = \frac{4}{14}$

Master the ideas from this section
by practicing the exercise at the bottom of this page.

When you're done practicing, move on to:
Practice with Factors

Type in your answer as a diagonal fraction (like 2/7),
since you can't type horizontal fractions.

(an even number, please)