SOLUTION: x/10-2/7

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Question 79066: x/10-2/7
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

    
 +x%2F10-2%2F7+

The denominators are 10 and 7. So the LCD is 70

We need to change both fractions so that that both
have 70 in their denominators.

The first fraction has 10 for its denominator. In 
order for that denominator to become 70 it must be 
multipliued by 7. But if we multiply the denominator 
by 7, we also must multiply the numerator by 7 to 
offset so that we don't change the value. So we have

+%28x%287%29%29%2F%2810%287%29%29+-+2%2F7

or

%287x%29%2F%2870%29-2%2F7


The second fraction has 7 for its denominator. In order
for that denominator to become 70 it must be multiplied
by 10. But as in the first fraction, if we multiply the 
denominator by 10, we also must multiply the numerator 
by 10 to offset so that we don't change the value. So 
we have

+%287x%29%2F70+-+%282%2810%29%29%2F%287%2810%29%29+

or

%287x%29%2F70-20%2F70

Now we can combine the two numerators over the LCD of 70

%287x-20%29%2F70

That's the answer!

Edwin