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Simplify y-2/3/y+1/5

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2 votes

Answer:


(15y-10)/(15y-3)

Explanation:

First at all, we need to use
a=(a)/(1) to convert this expression into a fraction, like:


y-(2)/(3) to convert into
(y)/(1) -(2)/(3).

Expand the fraction to get the least common denominator, like


(3y)/(3*1)-(2)/(3)

Write all numerators above the common denominator, like this:


(3y-2)/(3)

The bottom one used the same way to became simplest form, like this:


y+(1)/(5)


(y)/(1) +(1)/(5)


(5y)/(5*1)+(1)/(5)


(5y+1)/(5)

And it became like this:


(3y-2)/(3)/(5y+1)/(5)

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.


(3y-2)/(3)*(5y+1)/(5)

3y-2(5) and 5y-1(3)

and it will becomes like this in function form:


(3y-2(5))/(5y+1(3))

Then, we should distribute 5 through the parenthesis


(15y-10)/(5y+1(3))


(15y-10)/(15y+3)

And.... Here we go. That is the answer.

User Keshan De Silva
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