Question
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Tutor-Verified Answer
Answer
Solution
To solve the equation:
follow these steps:
Step 1: Eliminate the Fractions
First, identify the least common denominator (LCD) to eliminate the fractions. The denominators here are
and
. The LCD is
.
Multiply both sides of the equation by
:
Step 2: Simplify Each Term
Let’s simplify each term after multiplication:
-
First Term:(The
cancels out.) -
Second Term:(The
cancels out.) -
Third Term:
After simplification, the equation becomes:
Step 3: Solve for
Now, isolate
:
-
Add 4 to both sides to get rid of the constant term on the right:
-
Divide both sides by 18 to solve for
: -
Simplify the fraction by dividing numerator and denominator by 2:
Final Answer
Alternatively, as a decimal:
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Extra Insights
To solve the equation
, we first eliminate the fractions by multiplying through by
(assuming
):
This simplifies to:
Next, we solve for
by isolating
:
Thus, the solution to the equation is: