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Can you guys please help me?

Can you guys please help me?-example-1
User Ian Eccles
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1 Answer

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When dividing fractions, it may seem to be easier if you change the sign to multiply and flip the fraction on the right side. You would then end up with:


(x+4)/(x) * (x)/(3)

We know that when you multiply fractions, you multiply straight across the fraction bar. You would then get the following:


((x+4)*x)/(x*3)

Which you could then simplify to:


( x^(2) +4x)/(3x)

This can even futher be simplified since you have 2 terms in the numerator and 1 term in the denominator:


( x^(2) )/(3x) + (4x)/(3x)

When you have variables that are the same, such as in the first term, and you are dividing these terms, you subtract the exponents of the variable - in this case x:


(x)/(3)

And for your second term, since both the numerator and the denominator both have coefficients multiplied by an x, the x's cancel out. So you get:


(4)/(3)

Now, be sure to remember to add these two together, as you cannot forget about the addition sign:


(x)/(3)+ (4)/(3)

Or, since both of the terms have the same denominator, you can add them together to produce:


(x+4)/(3)



User Rob Bednark
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