Convert 11/4 to Mixed Number
Convert the improper fraction 11/4 to a mixed number with step-by-step explanation.
Answer:
11/4 = 2\frac{3}{4}
Step-by-Step Solution
Step 1
Identify the Improper Fraction
We have the improper fraction: 11/4
This is improper because the numerator (11) ≥ the denominator (4).
We can convert this to a mixed number by dividing.
\frac{11}{4} = ?
Step 2
Divide to Find the Whole Number
Divide the numerator by the denominator:
11 ÷ 4 = 2 remainder 3
The quotient (2) is the whole number part
The remainder (3) is the new numerator
11 \div 4 = 2 \text{ R } 3
Step 3
Write the Result
Combining our results:
11/4 = 2 3/4
\frac{11}{4} = 2\frac{3}{4}