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The denominator is that number on the bottom of a fraction, so with 2 different fractions you want to get them in a form where they have the same denominator. Often you will be trying to find the lowest common denominator.
The usual procedure is to multiply one denominator into the top (numerator) of the other fraction. Then repeat this process with the denominator of the second fraction multiplied into the numerator of the first fraction. Then multiply the 2 denominators together and the result is the denominator now of both fractions.
Eg 2/3 and 5/7 become
14/21 and 15/21
Sometimes further simplification is possible where one fraction has a denominator which is a mltiple of the other. eg
2/3 and 5/6
In this case you only need to multiply on the first fraction
Convert each mixed number (what you call mixed fraction) to an improper fraction, then multiply the two numerators and multiply the two denominators. Reduce the resulting fraction to its simplest form
Example
(2 1/3)*(1 5/7)=?
Convert 2 1/3 to an improper fraction 2 1/3=2+ 1/3 = 6/3+1/3=7/3
Convert 1 5/7 to an improper fraction 1 5/7=1+ 5/7 =7/7 +5/7=12/7
(2 1/3)*(1 5/7)= (7/3)*(12/7)= (7*12)/(3*7)
The 7's in the numerator and denominator cancel one another leaving
12/3=4 (2 1/3)*(1 5/7)=4
Not all products of mixed numbers will give a simple result as this one. More likely they will not.
I would not use the word term to refer to the numerator and denominator of a fraction. To get back to your question, if you multiply the numerator and denominator of a fraction by the same number (call it a, with a different from zero) you are in fact multiplying the original fraction by the fraction a/a, and that is equal to 1. So you are just multiplying the fraction by 1.
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