Question

write $2\frac{4}{7}$ 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 \( 2\frac{4}{7} \), we have \( a = 2 \), \( b = 4 \), and \( c = 7 \).

Step2: Apply the formula. First, calculate \( a\times c \): \( 2\times7 = 14 \). Then, add \( b \) to this result: \( 14 + 4 = 18 \). The denominator remains \( c = 7 \). So the improper fraction is \( \frac{18}{7} \).

Answer:

\(\frac{18}{7}\)