3.125 converted to mixed fraction with steps

To convert the decimal 3.125 into a mixed fraction, follow these steps:

### Step 1: Separate the whole number part
The whole number part of 3.125 is **3**.

### Step 2: Convert the decimal part to a fraction
The decimal part is 0.125.

- To convert 0.125 to a fraction, recognize that 0.125 is the same as \(\frac{125}{1000}\).
  
- Simplify \(\frac{125}{1000}\):
  \[
  \frac{125 \div 125}{1000 \div 125} = \frac{1}{8}
  \]

So, 0.125 as a fraction is \(\frac{1}{8}\).

### Step 3: Combine the whole number with the fraction
Now, combine the whole number part (3) with the fraction part \(\frac{1}{8}\):

\[
3.125 = 3 \frac{1}{8}
\]

Thus, the mixed fraction form of 3.125 is **\(3 \frac{1}{8}\)**.

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Would you like more details or have any questions? Here are some related questions:

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3. How do you convert 7.5 into a fraction and then to a mixed fraction?
4. How can you convert a mixed fraction back to a decimal?
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**Tip:** When converting decimals to fractions, the key is to express the decimal as a fraction with a denominator that is a power of 10, then simplify.

Learn how to convert the decimal 3.125 into a mixed fraction with detailed steps and explanations. This problem covers the conversion of decimals to fractions, specifically focusing on mixed fractions. Suitable for students in Grades 5-7.

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