Question

question
convert $3\frac{4}{7}$ into 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.

Step2: Identify the values of \( a \), \( b \), and \( c \) from the mixed number \( 3\frac{4}{7} \). Here, \( a = 3 \), \( b = 4 \), and \( c = 7 \).

Step3: Apply the formula. Calculate \( a\times c + b \): \( 3\times7 + 4 = 21 + 4 = 25 \). Then, the improper fraction is \( \frac{25}{7} \) (since the denominator \( c \) remains 7).

Answer:

\(\frac{25}{7}\)