Question

write $6\frac{6}{7}$ as an improper fraction.

Explanation:

Step1: Recall the formula for converting mixed numbers to improper fractions.

To convert a mixed number \( a\frac{b}{c} \) (where \( a \) is the whole number, \( b \) is the numerator of the fraction, and \( c \) is the denominator) to an improper fraction, we use the formula: \( a\frac{b}{c}=\frac{a\times c + b}{c} \).

Step2: Apply the formula to \( 6\frac{6}{7} \).

Here, \( a = 6 \), \( b = 6 \), and \( c = 7 \).
First, calculate \( a\times c \): \( 6\times7 = 42 \).
Then, add \( b \) to this result: \( 42 + 6 = 48 \).
So, the improper fraction is \( \frac{48}{7} \).

Answer:

\(\frac{48}{7}\)