Question

jean and ricky used fraction strips to add. What is the sum of 2 5/6 + 1 2/6 ? Select all that apply.

Answer 1

4 1/6 (option A)

25/6 (option B)

3 7/6 (option D)

Step-by-step explanation:
`2(5)/(6)+1(2)/(6)_{}`

converting to improper fraction:

`\begin{gathered} =(17)/(6)+(8)/(6) \\ \text{LCM = 6} \\ =(17+8)/(6) \\ =\text{ }(25)/(6)\text{ (option B)} \end{gathered}`

Solving in mixed fraction:

`\begin{gathered} 2(5)/(6)+1(2)/(6)\text{ = 2 + }(5)/(6)+1\text{ + }(2)/(6) \\ =\text{ }2\text{ + 1 +}(5)/(6)\text{ + }(2)/(6) \\ =\text{ 3 + }(5+2)/(6) \\ =\text{ 3 + }(7)/(6) \\ =\text{ 3 }(7)/(6)\text{ (option D)} \end{gathered}`
`\begin{gathered} \text{ 3}(7)/(6)=\text{ 3 + }(7)/(6)\text{ } \\ \frac{7}{6\text{ }}=\text{ 1 }(1)/(6) \\ \text{= 3 + 1 }(1)/(6)\text{ = 3 + 1+ }(1)/(6)\text{ } \\ \text{ 4 }(1)/(6)\text{ (option A)} \\ \end{gathered}`