What is the quotient of 2 1/6÷1 1/3 ? Simplify the answer, if possible.(1 point)
Responses
158
1 Start Fraction 5 over 8 End Fraction
813
Start Fraction 8 over 13 End Fraction
289
2 Start Fraction 8 over 9 End Fraction
926
To solve the division problem 2 1/6 ÷ 1 1/3, we need to convert the mixed numbers to improper fractions.
2 1/6 = (2*6 + 1)/6 = 13/6
1 1/3 = (1*3 + 1)/3 = 4/3
Now, we can rewrite the division problem as:
(13/6) ÷ (4/3)
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, the division becomes:
(13/6) * (3/4) = (13*3)/(6*4) = 39/24
To simplify the fraction, we can divide both numerator and denominator by their greatest common divisor, which is 3:
39/24 = (39/3)/(24/3) = 13/8
Therefore, the quotient of 2 1/6 ÷ 1 1/3 is 13/8.
Answer: 2 Start Fraction 5 over 8 End Fraction