Question

Solve.
Start fraction 3 over 5 end fraction plus start fraction 4 over 7 end fraction equals
(1 point)
Responses

Start fraction 17 over 12 end fraction
Image with alt text: Start fraction 17 over 12 end fraction

Start fraction 1 over 35 end fraction
Image with alt text: Start fraction 1 over 35 end fraction

Start fraction 7 over 12 end fraction
Image with alt text: Start fraction 7 over 12 end fraction

Start fraction 41 over 35 end fraction

Answer 1

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:
\[
\text{Start fraction 41 over 35 end fraction}
\]