#
Rule 17: BUILDING FRACTIONS

**
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 12 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 12.

Since 3 4 = 12, use the fraction
4/4 as 1. Now can be written as . The product is .
We have created a fraction with a denominator equal to 12 that
is equivalent to the fraction .

**Check:**
- Use your calculator to show that
is equivalent .

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

### Work the following problems and click on __Answer__ to check your results.

**Problem 1:**
- Create a fraction equivalent to that has
a denominator of 35. Answer

**Problem 2:**
- Create a fraction equivalent to that has
a denominator of 33.Answer

**Problem 3:**
- Create a fraction equivalent to that has
a denominator of 50. Answer

**Problem 4:**
- Create a fraction equivalent to that has a denominator of 40. Answer

Menu Back to Simple Fractions

[Identification]
[Factoring Integers]
[Reducing Fractions]
[Multiplication]
[Division]
[Addition]
[Subtraction]
[Order of Operation]

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*Author:Nancy Marcus** *

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