Convert 2 1/3 to Improper Fraction

Convert the mixed number 2 1/3 to an improper fraction with step-by-step explanation.

Answer: 2 1/3 = \frac{7}{3}
Step-by-Step Solution
Step 1 Identify the Mixed Number

We have the mixed number: 2 1/3

This means 2 whole units plus 1/3 of another unit.

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

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

First, convert the whole number 2 to a fraction with denominator 3.

2 = 2 ร— 3/3 = 6/3
2 = \frac{6}{3}
Step 3 Add the Fractions

Now add the two fractions:

6/3 + 1/3 = 7/3
\frac{6}{3} + \frac{1}{3} = \frac{7}{3}
Step 4 Final Answer

The improper fraction is 7/3

2\frac{1}{3} = \frac{7}{3}