What is the quotient of 2 1/6÷1 1/3 ? Simplify the answer, if possible.(1 point)Responses926Start Fraction 9 over 26 End Fraction1581 Start Fraction 5 over 8 End Fraction813Start Fraction 8 over 13 End Fraction289
To find the quotient of 2 1/6 ÷ 1 1/3, we need to first convert the 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 the fractions by multiplying the first fraction by the reciprocal of the second fraction:
(13/6) ÷ (4/3) = (13/6) * (3/4) = (13 * 3) / (6 * 4) = 39/24
So, the quotient is 39/24. To simplify the answer, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
39/24 = (39/3) / (24/3) = 13/8
Therefore, the simplified quotient is 13/8. Answer: 1581 Start Fraction 5 over 8 End Fraction