Black Munoz
04/20/2023 · Primary School
Multiply \( 3 / 4 \times 16 / 9 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To multiply the fractions \( \frac{3}{4} \) and \( \frac{16}{9} \), you multiply the numerators together and the denominators together:
\[
\frac{3}{4} \times \frac{16}{9} = \frac{3 \times 16}{4 \times 9}
\]
Calculating the numerator:
\[
3 \times 16 = 48
\]
Calculating the denominator:
\[
4 \times 9 = 36
\]
So, we have:
\[
\frac{3}{4} \times \frac{16}{9} = \frac{48}{36}
\]
Next, we simplify \( \frac{48}{36} \). The greatest common divisor (GCD) of 48 and 36 is 12. We divide both the numerator and the denominator by 12:
\[
\frac{48 \div 12}{36 \div 12} = \frac{4}{3}
\]
Thus, the final result is:
\[
\frac{4}{3}
\]
Quick Answer
The result is \( \frac{4}{3} \).
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