Spencer Mccarthy
07/05/2024 · Junior High School
Find \( \frac{1}{4} \div \frac{2}{9} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To divide fractions, we multiply by the reciprocal of the divisor. In this case, we need to find \( \frac{1}{4} \div \frac{2}{9} \).
First, we take the reciprocal of \( \frac{2}{9} \), which is \( \frac{9}{2} \).
Now we can rewrite the division as a multiplication:
\[
\frac{1}{4} \div \frac{2}{9} = \frac{1}{4} \times \frac{9}{2}
\]
Next, we multiply the fractions:
\[
\frac{1 \times 9}{4 \times 2} = \frac{9}{8}
\]
Thus, the result of \( \frac{1}{4} \div \frac{2}{9} \) is
\[
\boxed{\frac{9}{8}}
\]
Quick Answer
\( \frac{1}{4} \div \frac{2}{9} = \frac{9}{8} \)
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