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7/12+7/10

 Sep 5, 2017
 #1
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Before we can calculate the value of \(\frac{7}{10}+\frac{7}{12}\), we must create a common denominator. The LCD of both the denominators is 60. 

 

In this step, I will convert \(\frac{7}{10}\) to a fraction with a denominator of 60. 

 

\(\frac{7}{10}\) Multiply the numerator and denominator by 6/6.
\(\frac{7}{10}*\frac{6}{6}\) Notice that multiplying by 6/6 is actually multiplying by 1, which means that the value of the fraction remains unchanged.
\(\frac{42}{60}\)  
   

 

And now I will manipulate \(\frac{7}{12}\) as well.

 

\(\frac{7}{12}*\frac{5}{5}\) Yet again, we multiply the fraction by 1.
\(\frac{35}{60}\)  
   

 

Since the denominators are the same in both fractions, now we can add them together.

 

\(\frac{42}{60}+\frac{35}{60}\) Add the numerator and preserce the denominator.
\(\frac{77}{60}=1\frac{17}{60}=1.28\overline{33}\)  
   
 Sep 5, 2017

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