**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.

**Problem 3:**- Create a fraction equivalent to that has a denominator of 50.
**Answer:**- The answer is the fraction .
**Solution:**- This problem is a little difficult in that there is no integer you can multiply 20 with and come up with a product of 50. Therefore, let's reduce the fraction first.
Reduce .

= .

[You can verify this with your calculator.] 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 50.

Since 5 10 = 50, use the fraction as 1.

Now can be written as . The product is .

We have created a fraction with a denominator equal to 50 that is equivalent to the fraction . **Check:**- Now prove to yourself with your calculator that your
answer is correct. Calculate 4 divided by 20 and calculate 10 divided by 50; both should yield the same answer. If you are correct, the answers are the same (equivalent) and you have successfully built a fraction.

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