To find the product of \( \frac{5}{8} \times 12 \), we can follow these steps:
### Step 1: Rewrite the expression
We start with the expression:
\[
\frac{5}{8} \times 12
\]
### Step 2: Convert 12 into a fraction
To make multiplication easier, we can express 12 as a fraction:
\[
12 = \frac{12}{1}
\]
So the expression now looks like:
\[
\frac{5}{8} \times \frac{12}{1}
\]
### Step 3: Multiply the numerators and denominators
Now, we can multiply the numerators together and the denominators together:
\[
\frac{5 \times 12}{8 \times 1} = \frac{60}{8}
\]
### Step 4: Simplify the fraction
Next, we simplify \( \frac{60}{8} \). We can divide both the numerator and the denominator by their greatest common divisor, which is 4:
\[
\frac{60 \div 4}{8 \div 4} = \frac{15}{2}
\]
### Final Answer
Thus, the product of \( \frac{5}{8} \times 12 \) is:
\[
\frac{15}{2}
\]
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