Question
simplify. Rationalize the denominator.
3/7+ 3
3/7+ 3
Answers
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Answered by
GPT-4o mini
To simplify the expression \( \frac{3}{7} + 3 \), we first convert the whole number \(3\) into a fraction that has the same denominator as \(\frac{3}{7}\).
We can rewrite \(3\) as \(\frac{3 \times 7}{7} = \frac{21}{7}\).
Now, we can add the two fractions:
\[
\frac{3}{7} + \frac{21}{7} = \frac{3 + 21}{7} = \frac{24}{7}.
\]
So, the simplified form of \( \frac{3}{7} + 3 \) is
\[
\frac{24}{7}.
\]
There is no need to rationalize anything in this case since the denominator is already a simple integer. Thus, the final answer is:
\[
\frac{24}{7}.
\]
We can rewrite \(3\) as \(\frac{3 \times 7}{7} = \frac{21}{7}\).
Now, we can add the two fractions:
\[
\frac{3}{7} + \frac{21}{7} = \frac{3 + 21}{7} = \frac{24}{7}.
\]
So, the simplified form of \( \frac{3}{7} + 3 \) is
\[
\frac{24}{7}.
\]
There is no need to rationalize anything in this case since the denominator is already a simple integer. Thus, the final answer is:
\[
\frac{24}{7}.
\]
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