What is the quotient of 2 1/6÷1 1/3 ? Simplify the answer, if possible.
To solve the division problem 2 1/6 ÷ 1 1/3, we can convert both mixed numbers into improper fractions.
2 1/6 = (2 * 6 + 1) / 6 = 13/6
1 1/3 = (1 * 3 + 1) / 3 = 4/3
Now, we can divide 13/6 by 4/3. When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
(13/6) / (4/3) = (13/6) * (3/4)
= (13 * 3) / (6 * 4)
= 39/24
The quotient is 39/24. To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator.
GCD(39, 24) = 3
Dividing the numerator and denominator by 3, we get:
39/24 = (39/3) / (24/3)
= 13/8
Therefore, the simplified quotient of 2 1/6 ÷ 1 1/3 is 13/8.