Convert 3 1/4 to Improper Fraction

Convert the mixed number 3 1/4 to an improper fraction with step-by-step explanation.

Answer: 3 1/4 = \frac{13}{4}
Step-by-Step Solution
Step 1 Identify the Mixed Number

We have the mixed number: 3 1/4

This means 3 whole units plus 1/4 of another unit.

To convert to an improper fraction, we need to express everything with the same denominator.

3\frac{1}{4} = ?
Step 2 Convert the Whole Number

First, convert the whole number 3 to a fraction with denominator 4.

3 = 3 ร— 4/4 = 12/4
3 = \frac{12}{4}
Step 3 Add the Fractions

Now add the two fractions:

12/4 + 1/4 = 13/4
\frac{12}{4} + \frac{1}{4} = \frac{13}{4}
Step 4 Final Answer

The improper fraction is 13/4

3\frac{1}{4} = \frac{13}{4}