Question

now, write \\(\frac{11}{4}\\) as a mixed number. \\(\frac{11}{4} = \boxed{?} \frac{\boxed{?}}{4}\\)

Explanation:

Step1: Divide numerator by denominator

To convert an improper fraction to a mixed number, we divide the numerator (11) by the denominator (4). When we divide 11 by 4, we get a quotient of 2 and a remainder of 3, because \( 4\times2 = 8 \) and \( 11 - 8 = 3 \).

Step2: Form the mixed number

A mixed number is written as \( \text{quotient} \frac{\text{remainder}}{\text{denominator}} \). So, using the quotient (2) and the remainder (3), we can write \( \frac{11}{4} \) as \( 2\frac{3}{4} \).

Answer:

The first box is \( 2 \) and the second box is \( 3 \), so \( \frac{11}{4} = \boldsymbol{2}\frac{\boldsymbol{3}}{4} \)