Question

Divide.

2/13÷2/5
(1 point)
Responses

556
5 and 5 sixths

1415
14 over 15

45
4 fifths

916

Answer 1

To divide the fractions \( \frac{2}{13} \div \frac{2}{5} \), we can multiply by the reciprocal of the second fraction:

\[
\frac{2}{13} \div \frac{2}{5} = \frac{2}{13} \times \frac{5}{2}
\]

Now, we can simplify:

\[
\frac{2 \times 5}{13 \times 2} = \frac{10}{26}
\]

Now, simplify \( \frac{10}{26} \):

\[
\frac{10 \div 2}{26 \div 2} = \frac{5}{13}
\]

Now we can look at the answer options. Since \(\frac{5}{13}\) does not directly match any of the given options but we can compare.

1. **556:** Not close to \(\frac{5}{13}\).

2. **5 and 5 sixths:** Not close to \(\frac{5}{13}\).

3. **1415:** Not close to \(\frac{5}{13}\).

4. **45:** Not close to \(\frac{5}{13}\).

5. **916:** Not close to \(\frac{5}{13}\).

None of the options seem to accurately represent the correct answer, which is \( \frac{5}{13} \). Please double-check the options provided!