Wang Schultz
05/30/2024 · Senior High School
\( \frac{3}{5}.\frac{4}{9} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To multiply the fractions \( \frac{3}{5} \) and \( \frac{4}{9} \), you multiply the numerators together and the denominators together:
\[
\frac{3}{5} \cdot \frac{4}{9} = \frac{3 \cdot 4}{5 \cdot 9} = \frac{12}{45}
\]
Next, we can simplify \( \frac{12}{45} \). The greatest common divisor (GCD) of 12 and 45 is 3. We divide both the numerator and the denominator by 3:
\[
\frac{12 \div 3}{45 \div 3} = \frac{4}{15}
\]
Thus, the simplified result of \( \frac{3}{5} \cdot \frac{4}{9} \) is
\[
\frac{4}{15}
\]
Quick Answer
The simplified result is \( \frac{4}{15} \).
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