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 tex2html_wrap_inline32 .
Answer:
The answer is tex2html_wrap_inline34 .
Solution:
Recall that you can multiply any number by 1 without changing the value of the number. (Rule 6). Multiply the fraction tex2html_wrap_inline32 by 1. Recall that 1 has many forms, look for the form of 1 that will result in a denominator of 30.
Since 3 tex2html_wrap_inline38 10 = 30, use the fraction tex2html_wrap_inline40 as 1.
Now tex2html_wrap_inline32 can be written as tex2html_wrap_inline32 . The product is tex2html_wrap_inline10 . We have created a fraction with a denominator equal to 30 that is equivalent to the fraction tex2html_wrap_inline32 .
Check:
Use your calculator to show that tex2html_wrap_inline32 is equivalent tex2html_wrap_inline10 .

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

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Author:Nancy Marcus

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