#
BUILDING FRACTIONS: Example

**Rule 17:**
- To build a fraction is the reverse of reducing the fraction.
Instead of searching for the 1 in a fraction so that you can reduce,
you insert a 1 and build.

**Example:**
- Create a fraction with 30 in the denominator that is
equivalent to the fraction .
**Answer:**
- The answer is .
**Solution:**
- Recall that you can multiply any number by 1
without changing the value of the number. (Rule 6). Multiply the fraction by 1.
Recall that 1 has many forms, look for the form of 1 that will result in a denominator of 30.

Since 3 10 = 30, use the fraction
as 1.

Now
can be written as . The product is .
We have created a fraction with a denominator equal to 30 that is equivalent to the fraction .
**Check:**
- Use your calculator to show that is
equivalent .

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If you would like to review another example on this topic, click onExample.

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*Author:Nancy Marcus** *

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