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 [beautiful math coming... please be patient] $\,\displaystyle\frac{2}{7}\,$ with a denominator of $\,14\,$:

Solution: [beautiful math coming... please be patient] $\displaystyle\frac{2}{7} = \frac{4}{14}$

The key is to multiply by [beautiful math coming... please be patient] $\,1\,$ in the correct way!
The original denominator is $\,7\,$;
the desired denominator is $\,14\,$.
What must [beautiful math coming... please be patient] $\,7\,$ be multiplied by, to get $\,14\,$?   Answer: $\,2\,$

Thus, you multiply by [beautiful math coming... please be patient] $\,1\,$ in the form of $\,\displaystyle\frac{2}{2}\,$, as shown below:

[beautiful math coming... please be patient] $\displaystyle\frac{2}{7} = \frac{2}{7}\cdot\frac{2}{2} = \frac{4}{14}$
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)