This is an equation which has fractions. It will make things
easier if we clear denominators first. Multiply both sides by the
smallest common denominator, which, in lthis case, is 24.
To multiply a side of an equation by something, put
parentheses around the side of the equation and put the thing you
are going to multiply it by in front of the parentheses. The
parentheses indicate that we had the expression inside the
parentheses together before we decided to multiply it by something.
However, we now what to do with the parentheses. Multiply the
factor outside the parentheses by all of the terms inside.
When we simplify,
all of the denominators will be cleared out. That is because a
common denominator is something that all denominators go into.
Multiply the surviving factors
Transpose.
Combine
Divide both sides by the coefficient of the unknown.
Copy down the original equation
except that instead of copying down the unknown, copy down the
solution in parentheses.
.
In this order of operations problem do the multiplication of
fraction first.
The 22/30 will reduce, but we would have to reverse the
process when we find common denominators. Since we are adding
fractions, we need common denominators.The smallest common
denominator on the left side is 30, and the smallest common
denominator on the right hand side is 40.
or
which combine to
which simplifies to
and the solution checks.