Question

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

Explanation:

Step1: Recall the formula for converting a mixed number to an improper fraction. The formula is: \( a\frac{b}{c}=\frac{a\times c + b}{c} \), where \( a \) is the whole number part, \( b \) is the numerator of the fractional part, and \( c \) is the denominator of the fractional part.

For the mixed number \( 4\frac{2}{3} \), we have \( a = 4 \), \( b = 2 \), and \( c = 3 \).

Step2: Apply the formula. First, calculate \( a\times c \): \( 4\times3 = 12 \). Then add \( b \) to this result: \( 12 + 2 = 14 \). The denominator remains \( c = 3 \). So the improper fraction is \( \frac{14}{3} \).

Answer:

\(\frac{14}{3}\)