To add the fractions \(\frac{3}{5}\) and \(\frac{4}{7}\), we first need to find a common denominator.
The denominators are 5 and 7. The least common multiple (LCM) of 5 and 7 is 35.
Next, we convert each fraction to an equivalent fraction with a denominator of 35.
For \(\frac{3}{5}\): \[ \frac{3}{5} \times \frac{7}{7} = \frac{21}{35} \]
For \(\frac{4}{7}\): \[ \frac{4}{7} \times \frac{5}{5} = \frac{20}{35} \]
Now we can add the two fractions: \[ \frac{21}{35} + \frac{20}{35} = \frac{41}{35} \]
Therefore, the answer is: \[ \frac{41}{35} \]
So the correct response is: \[ \text{Start fraction 41 over 35 end fraction} \]
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