what is the quotient of 3 7/9 divided by 1 1/5? simplify the answer, if possible.
15/68
or
4 8/15
or
27/85
or
3 4/27
To divide 3 7/9 by 1 1/5, we need to convert the mixed numbers into improper fractions.
3 7/9 is equal to (3 * 9 + 7)/9 = 34/9
1 1/5 is equal to (1 * 5 + 1)/5 = 6/5
Now, we can divide the fractions:
(34/9) ÷ (6/5)
When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction.
(34/9) * (5/6) = (34*5)/(9*6) = 170/54
To simplify this fraction, we can divide both the numerator and denominator by the greatest common factor, which is 2.
170/54 = (170/2)/(54/2) = 85/27
Therefore, the quotient of 3 7/9 divided by 1 1/5 is 85/27, which cannot be further simplified.