Answer:
[tex]-\frac{1}{12}[/tex]
Step-by-step explanation:
So we have the expression:
[tex]\frac{2}{6}-\frac{5}{12}[/tex]
To subtract, we want to have a common denominator. So, let's find a common denominator by using the LCM.
The LCM of 6 and 12 is 12.
Since the second term is already 12, let's multiply the first term by 2 to get its denominator to be 12:
[tex]=(\frac{2}{2})\frac{2}{6}-\frac{5}{12}[/tex]
Multiply:
[tex]=\frac{4}{12}-\frac{5}{12}[/tex]
Now, we can combine the fractions:
[tex]=\frac{4-5}{12}[/tex]
Subtract:
[tex]=\frac{-1}{12}[/tex]
And we are done!
