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To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 4 1/5 can be found by flipping the fraction: 5/4 1/5.
Next, convert 7/8 into a mixed number: 0 7/8.
Now, multiply 0 7/8 by 5/4 1/5:
0 7/8 * 5/4 1/5
= (7/8) * (5/(4 + 1/5))
= (7/8) * (5/((20/5) + 1/5))
= (7/8) * (5/(21/5))
= (7/8) * (5 * 5/21)
= (7/8) * (25/21)
To simplify this fraction, you can cancel out common factors:
(7/8) * (25/21) = (7 * 5)/(8 * 3) = 35/24
Therefore, 7/8 divided by 4 1/5 equals 35/24.