To find the product of the fractions \( \frac{61}{4} \) and \( \frac{15}{7} \), we can follow these steps:
### Step 1: Write the product of the fractions
We start by writing the expression for the product of the two fractions:
\[
\frac{61}{4} \times \frac{15}{7}
\]
### Step 2: Multiply the numerators
Next, we multiply the numerators (the top parts of the fractions):
\[
61 \times 15
\]
Calculating this gives:
\[
61 \times 15 = 915
\]
### Step 3: Multiply the denominators
Now, we multiply the denominators (the bottom parts of the fractions):
\[
4 \times 7
\]
Calculating this gives:
\[
4 \times 7 = 28
\]
### Step 4: Write the result as a single fraction
Now we can write the result of the multiplication as a single fraction:
\[
\frac{915}{28}
\]
### Step 5: Simplify the fraction if possible
In this case, \( 915 \) and \( 28 \) do not have any common factors, so the fraction is already in its simplest form.
### Final Answer
Thus, the product of \( \frac{61}{4} \) and \( \frac{15}{7} \) is:
\[
\frac{915}{28}
\]
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