four-sevenths ÷ seven-eighths
A. one-half
B. thirty-two over forty-nine
C. 2
D. 1seventeen over thirty-two
To divide fractions, you need to multiply the first fraction by the reciprocal (flip the numerator and denominator) of the second fraction.
So, four-sevenths ÷ seven-eighths is equal to four-sevenths × eight-sevenths.
Now, we can simplify by multiplying the numerators and denominators: (4 × 8) / (7 × 7 × 8) = 32 / 392.
We can then simplify further by dividing both the numerator and denominator by 8: 4 / 49.
Therefore, the answer is B. thirty-two over forty-nine.