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 tex2html_wrap_inline45.

Answer:
The answer is tex2html_wrap_inline47 .

Solution:
Recall that you can multiply any number by 1 without changing the value of the number. (Rule 6). Multiply the fraction tex2html_wrap_inline45 by 1.
Recall that 1 has many forms, look for the form of 1 that will result in a denominator of 12.
Since 3tex2html_wrap_inline8 4 = 12, use the fraction 4/4 as 1. Now tex2html_wrap_inline53 can be written as tex2html_wrap_inline55 . The product is tex2html_wrap_inline47 . We have created a fraction with a denominator equal to 12 that is equivalent to the fraction tex2html_wrap_inline45 .

Check:
Use your calculator to show that tex2html_wrap_inline45 is equivalent tex2html_wrap_inline47 .

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 tex2html_wrap_inline65 that has a denominator of 35. Answer

Problem 2:
Create a fraction equivalent to tex2html_wrap_inline67 that has a denominator of 33.Answer

Problem 3:
Create a fraction equivalent to tex2html_wrap_inline69 that has a denominator of 50. Answer

Problem 4:
Create a fraction equivalent to tex2html_wrap_inline71 that has a denominator of 40. Answer

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Author:Nancy Marcus

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