Convert Fraction 15/4 to Mixed Number: Step-by-Step Solution

Write the fraction as a mixed number:

$\frac{15}{4}=$

To solve the problem of converting the improper fraction $\frac{15}{4}$ into a mixed number, we follow these steps:

• Step 1: Perform division $15 \div 4$.
• Step 2: Identify the quotient and the remainder.
• Step 3: Construct the mixed number using whole number from quotient and remainder for fractional part.

Let's work through these steps:

Step 1: Divide the numerator by the denominator. Here, $15 \div 4 = 3$ with a remainder of 3. This means 4 goes into 15 a total of 3 times, and there are 3 remainder.

Step 2: The quotient from the division is the whole number part of the mixed number. Hence, the whole number part is 3.

Step 3: The remainder becomes the numerator of the fractional part. The denominator remains the same as the original fraction. Therefore, the fractional part is $\frac{3}{4}$.

Putting it all together, the mixed number is $3 \frac{3}{4}$.

Thus, the fraction $\frac{15}{4}$ as a mixed number is $\mathbf{3 \frac{3}{4}}$.