To find the product of the fractions \( \frac{3}{7} \) and \( \frac{16}{9} \), we can follow these steps:
### Step 1: Write the expression
We start with the expression:
\[
\frac{3}{7} \times \frac{16}{9}
\]
### Step 2: Simplify before multiplying
Before multiplying, we can simplify the fractions if possible. We notice that 3 and 9 have a common factor:
- \( 9 \div 3 = 3 \)
- \( 3 \div 3 = 1 \)
So we can rewrite the expression as:
\[
\frac{1}{7} \times \frac{16}{3}
\]
### Step 3: Multiply the numerators and denominators
Now we multiply the numerators together and the denominators together:
\[
\text{Numerator: } 1 \times 16 = 16
\]
\[
\text{Denominator: } 7 \times 3 = 21
\]
### Step 4: Write the final answer
Putting it all together, we have:
\[
\frac{16}{21}
\]
Thus, the product of \( \frac{3}{7} \) and \( \frac{16}{9} \) is:
\[
\frac{16}{21}
\]
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