To express \( \frac{12}{25} \) as a decimal, we can follow these steps:
### Step 1: Identify the fraction
We have the fraction \( \frac{12}{25} \).
### Step 2: Convert the denominator to a power of 10
To convert the fraction into a decimal, we need to change the denominator (25) into a power of 10. The closest power of 10 to 25 is 100.
### Step 3: Determine the multiplier
To convert 25 into 100, we need to multiply it by 4.
\[
25 \times 4 = 100
\]
### Step 4: Multiply the numerator by the same number
Now, we must also multiply the numerator (12) by the same number (4):
\[
12 \times 4 = 48
\]
### Step 5: Rewrite the fraction
Now we can rewrite the fraction as:
\[
\frac{48}{100}
\]
### Step 6: Convert to decimal
Since the denominator is now 100, we can easily convert it to a decimal. The decimal representation of \( \frac{48}{100} \) is:
\[
0.48
\]
### Final Answer
Thus, \( \frac{12}{25} \) expressed as a decimal is \( 0.48 \).
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