2 1/3 divided by 1 1 2/3 with the remiander
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) ÷ (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.
To divide 2 1/3 by 1 1 2/3 with a remainder, follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
2 1/3 = (2 * 3 + 1) / 3 = 7/3
1 1 2/3 = (1 * 3 * 3 + 1 * 3 + 2) / 3 = 11/3
Step 2: Divide the numerator of the first fraction by the numerator of the second fraction.
7/3 ÷ 11/3 = 7/3 * 3/11 = 21/33
Step 3: Simplify the fraction if possible.
21/33 can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 3.
21/33 = (21 ÷ 3) / (33 ÷ 3) = 7/11
Step 4: Determine the remainder.
Since the numerator (7) is smaller than the denominator (11), there is no remainder.
Final result:
2 1/3 ÷ 1 1 2/3 = 7/11 with no remainder.
To divide mixed numbers like 2 1/3 divided by 1 1 2/3 with the remainder, follow these steps:
1. Convert the mixed numbers into improper fractions.
- Convert 2 1/3 to an improper fraction:
- Multiply the whole number (2) by the denominator (3): 2 x 3 = 6.
- Add the numerator (1) to the result: 6 + 1 = 7.
- Write the sum (7) over the original denominator (3): 7/3.
- Convert 1 1 2/3 to an improper fraction:
- Multiply the whole number (1) by the denominator (3): 1 x 3 = 3.
- Add the numerator (1) to the result: 3 + 1 = 4.
- Write the sum (4) over the original denominator (3): 4/3.
2. Find the reciprocal of the second fraction.
- To divide by a fraction, you can multiply by its reciprocal. So, the reciprocal of 4/3 is 3/4.
3. Multiply the first fraction (7/3) by the reciprocal of the second fraction (3/4).
- Multiply the numerators together: 7 x 3 = 21.
- Multiply the denominators together: 3 x 4 = 12.
- The result is 21/12.
4. Simplify the fraction, if necessary.
- In this case, the fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
- The GCD of 21 and 12 is 3, so divide both numbers by 3: 21 ÷ 3 = 7 and 12 ÷ 3 = 4.
- The simplified fraction is 7/4.
5. Determine the quotient (whole number) and the remainder.
- The quotient is found by dividing the numerator (7) by the denominator (4): 7 ÷ 4 = 1 with a remainder of 3.
Therefore, 2 1/3 divided by 1 1 2/3 equals 1 remainder 3/4 or 1 3/4.