To convert the mixed number \( 6 \frac{1}{7} \) into an improper fraction, follow these steps:
-
Multiply the whole number (6) by the denominator (7):
\( 6 \times 7 = 42 \) -
Add the numerator (1) to this product:
\( 42 + 1 = 43 \) -
Place this sum over the original denominator (7):
Thus, \( 6 \frac{1}{7} = \frac{43}{7} \).
So, \( 6 \frac{1}{7} = \frac{43}{7} \).