To divide \( \frac{7}{8} \) by \( 4 \frac{1}{5} \), we first need to convert \( 4 \frac{1}{5} \) into an improper fraction.
Convert \( 4 \frac{1}{5} \):
\[ 4 \frac{1}{5} = 4 \times 5 + 1 = 20 + 1 = 21 \]
So, \( 4 \frac{1}{5} = \frac{21}{5} \).
Now we can rewrite the division of fractions as multiplication by the reciprocal:
\[ \frac{7}{8} \div \frac{21}{5} = \frac{7}{8} \times \frac{5}{21} \]
Now we multiply the fractions:
\[ \frac{7 \times 5}{8 \times 21} = \frac{35}{168} \]
Next, we simplify \( \frac{35}{168} \). The greatest common divisor (GCD) of 35 and 168 is 7:
Dividing both the numerator and the denominator by 7, we get:
\[ \frac{35 \div 7}{168 \div 7} = \frac{5}{24} \]
So the simplified answer is:
\[ \frac{5}{24} \]
The correct response is:
Start Fraction 5 over 24 End Fraction.
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