Question

write $2\frac{3}{4}$ as an improper fraction.

Explanation:

Step1: Recall the formula for converting a mixed number to an improper fraction. The formula is: for a mixed number \( a\frac{b}{c} \), the improper fraction is \( \frac{a\times c + b}{c} \).

Here, \( a = 2 \), \( b = 3 \), and \( c = 4 \).

Step2: Apply the formula. Calculate \( a\times c + b \): \( 2\times4 + 3 = 8 + 3 = 11 \). The denominator remains \( c = 4 \). So the improper fraction is \( \frac{11}{4} \).

Answer:

\(\frac{11}{4}\)