Convert as a mixed fraction:
2.052

Answer

To convert the decimal number 2.052 into a mixed fraction, we can follow these steps:

### Step 1: Identify the whole number and the decimal part
The whole number part of 2.052 is 2, and the decimal part is 0.052.

### Step 2: Convert the decimal part into a fraction
The decimal 0.052 can be expressed as a fraction. Since there are three digits after the decimal point, we can write:
\[ 0.052 = \frac{52}{1000} \]

### Step 3: Combine the whole number and the fraction
Now, we can express 2.052 as a mixed fraction:
\[ 2.052 = 2 + \frac{52}{1000} \]

### Step 4: Simplify the fraction
Next, we need to simplify the fraction \(\frac{52}{1000}\). We can find the greatest common divisor (GCD) of 52 and 1000, which is 4. Now, we divide both the numerator and the denominator by 4:
\[ \frac{52 \div 4}{1000 \div 4} = \frac{13}{250} \]

### Step 5: Write the final mixed fraction
Now we can write the final mixed fraction:
\[ 2.052 = 2 \frac{13}{250} \]

### Final Answer:
The mixed fraction of 2.052 is:
\[ 2 \frac{13}{250} \]

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