Powell Deleon
06/28/2024 · Senior High School
5. \( \frac{1}{3} \div \frac{7}{9} \square \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the expression \( \frac{1}{3} \div \frac{7}{9} \), we can rewrite the division of fractions as multiplication by the reciprocal.
The reciprocal of \( \frac{7}{9} \) is \( \frac{9}{7} \). Therefore, we can rewrite the expression as:
\[
\frac{1}{3} \div \frac{7}{9} = \frac{1}{3} \times \frac{9}{7}
\]
Now, we multiply the fractions:
\[
\frac{1 \times 9}{3 \times 7} = \frac{9}{21}
\]
Next, we simplify \( \frac{9}{21} \). Both the numerator and the denominator can be divided by 3:
\[
\frac{9 \div 3}{21 \div 3} = \frac{3}{7}
\]
Thus, the final answer is:
\[
\frac{3}{7}
\]
Quick Answer
The simplified answer is \( \frac{3}{7} \).
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