We have add 1 2/3 to 1/4. First we have to convert 1 2/3 from mixed number to an improper fraction.
Doing so, we have:
[tex]1\frac{2}{3}=\frac{1\cdot3+2}{3}=\frac{5}{3}[/tex]
Then, we add the last result to 1/4:
[tex]\begin{gathered} \frac{5}{3}+\frac{1}{4}=\frac{5\cdot4+3\cdot1}{12}\text{ (Using the method for adding fractions)} \\ \frac{5\cdot4+3\cdot1}{12}=\frac{20+3}{12}\text{ (Multiplying)} \\ \frac{20+3}{12}=\frac{23}{12}\text{ (Adding)} \end{gathered}[/tex]
Finally, we convert 23/12 to a mixed number.
Quotient of 23/12 = 1
Remainder of 23/12=11
23/12 as a mixed number is 1 11/12
The answer is the second option.
