Answer:
![-(1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/8sp5mxzbabg3z7q3l6ijsxgb4wuxxhht3u.png)
Explanation:
When adding or subtracting fractions, you need to make sure that the denominators are the same:
→
![(numerator)/(denominator_(z)) -(numerator)/(denominator_(z))](https://img.qammunity.org/2021/formulas/mathematics/high-school/az2fxamh1u631u1x68lvn1sahl1tqpookc.png)
To do this, you need to find the LCM of the denominators, and multiply top and bottom by the factor:
![(1)/(3) -(5)/(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4js9ix24vle14yryh6ct72clpv81bxe3y6.png)
The denominators are 3 and 6. The lowest common multiple is 6, so you only need to change the first fraction by multiplying by 2. Multiply the top and bottom:
![(2*1)/(2*3) =(2)/(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/joyp9hrnr8ii4e10a6k57ai5lhz6vgd0kz.png)
Insert into the expression:
![(2)/(6) -(5)/(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/act3najb1egtwmvrzw8hxr62xoy0h7rswi.png)
Now subtract the numerators. The denominators will not change:
![2-5=-3\\\\(2)/(6)-(5)/(6)=-(3)/(6) =-(1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/fy6b9wwz1x4x4lmszx6r8dzfimmkpv4x53.png)
:Done