To divide 2 1/3 by 1 1 2/3 with a remainder, we can follow these steps:
1. Convert the mixed numbers into improper fractions.
2 1/3 = (3 * 2 + 1) / 3 = 7/3
1 1 2/3 = (3 * 1 + 1 + 2) / 3 = 8/3
2. Divide the first fraction by the second fraction.
(7/3) รท (8/3) = (7/3) * (3/8) = 21/24 = 7/8
3. Determine the remainder.
The remainder is the difference between the numerator of the dividend and the product of the quotient and the denominator.
Remainder = (numerator of dividend) - (quotient * denominator)
Remainder = (7/3) - (7/8 * 3) = 7/3 - 7/8 * 3/1 = 7/3 - 21/8 = 56/24 - 63/24 = -7/24
Therefore, 2 1/3 divided by 1 1 2/3 with the remainder is equal to 7/8 with a remainder of -7/24.
2 1/3 divided by 1 1 2/3 with the remiander
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