The fraction is \(\dfrac{77}{12}\).
Fraction
A fraction is a way to describe a part of a whole. such as the fraction \(\dfrac{1}{4}\) shows one unit of a system having 4 units.
Mixed Fraction
A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. For example,
\(3\frac{1}{4} , 5\frac{2}{7}\), etc.
To find
what fraction of 3 1/2 is 1 1/6
Assumption
Let's assume that the fraction is x.
Solving the mixed fraction
\(3\dfrac{1}{2} = \dfrac{(3 \times 2)+1}{2} = \dfrac{7}{2}\)
Solution
Solving for x,
\(\dfrac{x}{\dfrac{7}{2} } = \dfrac{11}{6} \\\\x= \dfrac{11}{6}\times \dfrac{7}{2} \\\\x= \dfrac{77}{12}\)
Hence, the fraction is \(\dfrac{77}{12}\).
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