Convert 2 2/3 to Improper Fraction
Convert the mixed number 2 2/3 to an improper fraction with step-by-step explanation.
Answer:
2 2/3 = \frac{8}{3}
Step-by-Step Solution
Step 1
Identify the Mixed Number
We have the mixed number: 2 2/3
This means 2 whole units plus 2/3 of another unit.
To convert to an improper fraction, we need to express everything with the same denominator.
2\frac{2}{3} = ?
Step 2
Convert the Whole Number
First, convert the whole number 2 to a fraction with denominator 3.
2 = 2 × 3/3 = 6/3
2 = \frac{6}{3}
Step 3
Add the Fractions
Now add the two fractions:
6/3 + 2/3 = 8/3
\frac{6}{3} + \frac{2}{3} = \frac{8}{3}
Step 4
Final Answer
The improper fraction is 8/3
2\frac{2}{3} = \frac{8}{3}