Question

What is the missing number x in the following equation 4 2/3 + 2 3/x = 7 5/12

Answer 1

We have the expression:

`4(2)/(3)+2(3)/(x)=7(5)/(12)`

and we have to find the missing number (x):

`\begin{gathered} 4(2)/(3)+2(3)/(x)=7(5)/(12) \\ 4+2+(2)/(3)+(3)/(x)=7+(5)/(12) \\ 6+(2)/(3)+(3)/(x)=7+(5)/(12) \\ (3)/(x)=7+(5)/(12)-6-(2)/(3) \\ (3)/(x)=1+(5)/(12)-(2)/(3) \\ (3)/(x)=1+(5-2\cdot4)/(12) \\ (3)/(x)=1+(5-8)/(12) \\ (3)/(x)=1-(3)/(12) \\ (3)/(x)=(12-3)/(12) \\ (3)/(x)=(9)/(12) \\ 3\cdot12=9\cdot x \\ 9x=36 \\ x=(36)/(9) \\ x=4 \end{gathered}`

Answer: the missing number is 4.