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.
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556: Not close to \(\frac{5}{13}\).
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5 and 5 sixths: Not close to \(\frac{5}{13}\).
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1415: Not close to \(\frac{5}{13}\).
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45: Not close to \(\frac{5}{13}\).
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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!
1 answer