# 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 .

### 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] [Building Fractions] [Addition] [Subtraction]
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