simplify. Rationalize the denominator.

3/7+ 3

1 answer

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:

\[ \frac{24}{7}. \]

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