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Solve. Express your answer in simplest form.

User Tyrese
by
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1 Answer

7 votes

Final Answer:

Simplest form:
\( (3)/(6) + (2)/(4) = (1)/(1) \)

Step-by-step explanation:

To solve this, first, find the least common denominator (LCD) for the fractions, which is 12. Then, convert both fractions to have the common denominator.
\( (3)/(6) + (2)/(4) = (1)/(1) \) simplifies to
\( (1)/(2) \) when multiplied by
\( (2)/(2) \) to get a denominator of 12.

Similarly,
\( (2)/(4) \) becomes
\( (3)/(6) \) when multiplied by
\( (3)/(3) \) to achieve a denominator of 12. Adding these together gives
\( (1)/(2) + (3)/(6) \).

Now, further simplify
\( (1)/(2) + (3)/(6) \) by finding a common denominator, which is 6. \( \frac{1}{2} \) can be written as
\( (3)/(6) \), so the expression becomes
\( (3)/(6) + (3)/(6) \), totaling
\( (6)/(6) \), which simplifies to 1 when both fractions are added together.

The final result,
\( (3)/(6) + (2)/(4) = 1 \), demonstrates that after converting the fractions to have a common denominator and performing the addition, the simplified answer is a whole number, specifically 1.

Here is complete question;

"Solve
\( (3)/(6) + (2)/(4) \). Express your answer in simplest form."

User Miles Budnek
by
8.5k points