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Mathematics 19 Online
OpenStudy (liddoislander):

Solve the equation: the fraction b + 2 all over 3 minus the fraction b minus 2 all over 7 = 2

OpenStudy (liddoislander):

OpenStudy (anonymous):

Is this the equation? \[\frac{ b+2 }{ 3 }-\frac{ b-2 }{ 7 }=2\]

OpenStudy (liddoislander):

@nelsonjedi yes

OpenStudy (anonymous):

What do you do first when you have two different denominators when adding or subtracting?

OpenStudy (liddoislander):

convert unlike fractions @nelsonjedi

OpenStudy (anonymous):

yes by finding the least common denominator for each part of the equation. So in our equation what is the least common denominator?

OpenStudy (liddoislander):

b+2 ---- 3

OpenStudy (liddoislander):

@nelsonjedi

OpenStudy (anonymous):

The least common denominator is a value that is divisible by every denominator in the equation. We have three denominators (3,7,1) What number is divisible by these three numbers?

OpenStudy (liddoislander):

im lost @nelsonjedi

OpenStudy (anonymous):

Ok..To be able to add or subtract fractions they must have the same denominator. Thus to be able to add the following I need the denominators to be the same. 1/2 + 1/3 =?

OpenStudy (anonymous):

Almost always the easiest way to find a common denominator is to multiply the two denominators together. Thus the least common denominator will be 6. Which is 2 times 3. Do you see this and understand?

OpenStudy (liddoislander):

oh I see @nelsonjedi

OpenStudy (anonymous):

So what is the common denominator for our problem above?

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