Question

How do you subtract 7 3/4 - 3 5/6

Answer 1

Method 1:

To substract mixed fractions we first transform them into improper fractions

`7(3)/(4)-3(5)/(6)=(31)/(4)-(23)/(6)`

now we do the substraction of fractions:

`\begin{gathered} (31)/(4)-(23)/(6)=(93-46)/(12) \\ =(47)/(12) \end{gathered}`

Now we transform the result into a mixed fraction:

`(47)/(12)=3(11)/(12)`

Hence:

`7(3)/(4)-3(5)/(6)=3(11)/(12)`

Method 2:

The second method is to substract the integers and the fractions separately:

`7-3=4`

and

`\begin{gathered} (3)/(4)-(5)/(6)=(9-10)/(12) \\ =-(1)/(12) \end{gathered}`

since the last fraction is negative we have tu substrac this to the integer:

`\begin{gathered} 4-(1)/(12)=(48-1)/(12) \\ =(47)/(12) \end{gathered}`

now we convert it to a mixed fraction:

`(47)/(12)=3(11)/(12)`

Hence:

`7(3)/(4)-3(5)/(6)=3(11)/(12)`

By either method the result is 3 11/12.