The fraction is [tex]\dfrac{77}{12}[/tex].
A fraction is a way to describe a part of a whole. such as the fraction [tex]\dfrac{1}{4}[/tex] shows one unit of a system having 4 units.
A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. For example,
[tex]3\frac{1}{4} , 5\frac{2}{7}[/tex], etc.
what fraction of 3 1/2 is 1 1/6
Let's assume that the fraction is x.
[tex]3\dfrac{1}{2} = \dfrac{(3 \times 2)+1}{2} = \dfrac{7}{2}[/tex]
Solving for x,
[tex]\dfrac{x}{\dfrac{7}{2} } = \dfrac{11}{6} \\\\x= \dfrac{11}{6}\times \dfrac{7}{2} \\\\x= \dfrac{77}{12}[/tex]
Hence, the fraction is [tex]\dfrac{77}{12}[/tex].
Learn more about Fractions:
https://brainly.com/question/1301963
