Convert 5 1/4 to Improper Fraction
Convert the mixed number 5 1/4 to an improper fraction with step-by-step explanation.
Answer:
5 1/4 = \frac{21}{4}
Step-by-Step Solution
Step 1
Identify the Mixed Number
We have the mixed number: 5 1/4
This means 5 whole units plus 1/4 of another unit.
To convert to an improper fraction, we need to express everything with the same denominator.
5\frac{1}{4} = ?
Step 2
Convert the Whole Number
First, convert the whole number 5 to a fraction with denominator 4.
5 = 5 × 4/4 = 20/4
5 = \frac{20}{4}
Step 3
Add the Fractions
Now add the two fractions:
20/4 + 1/4 = 21/4
\frac{20}{4} + \frac{1}{4} = \frac{21}{4}
Step 4
Final Answer
The improper fraction is 21/4
5\frac{1}{4} = \frac{21}{4}