Convert 2 3/4 to Improper Fraction
Convert the mixed number 2 3/4 to an improper fraction with step-by-step explanation.
Answer:
2 3/4 = \frac{11}{4}
Step-by-Step Solution
Step 1
Identify the Mixed Number
We have the mixed number: 2 3/4
This means 2 whole units plus 3/4 of another unit.
To convert to an improper fraction, we need to express everything with the same denominator.
2\frac{3}{4} = ?
Step 2
Convert the Whole Number
First, convert the whole number 2 to a fraction with denominator 4.
2 = 2 × 4/4 = 8/4
2 = \frac{8}{4}
Step 3
Add the Fractions
Now add the two fractions:
8/4 + 3/4 = 11/4
\frac{8}{4} + \frac{3}{4} = \frac{11}{4}
Step 4
Final Answer
The improper fraction is 11/4
2\frac{3}{4} = \frac{11}{4}