Convert 21/4 to Mixed Number

Convert the improper fraction 21/4 to a mixed number with step-by-step explanation.

Answer: 21/4 = 5\frac{1}{4}
Step-by-Step Solution
Step 1 Identify the Improper Fraction

We have the improper fraction: 21/4

This is improper because the numerator (21) ≥ the denominator (4).

We can convert this to a mixed number by dividing.

\frac{21}{4} = ?
Step 2 Divide to Find the Whole Number

Divide the numerator by the denominator:

21 ÷ 4 = 5 remainder 1

The quotient (5) is the whole number part

The remainder (1) is the new numerator

21 \div 4 = 5 \text{ R } 1
Step 3 Write the Result

Combining our results:

21/4 = 5 1/4
\frac{21}{4} = 5\frac{1}{4}