Answer:
[tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: [tex]\dfrac{11}{12}+(-\dfrac{7}{12})[/tex]
The given expression is sum of two rational number. One positive and one negative rational number.
Using sign law of multiplication:
+ (-) = -
[tex]\Rightarrow \dfrac{11}{12}+(-\dfrac{7}{12})[/tex]
[tex]\Rightarrow \dfrac{11}{12}-\dfrac{7}{12}[/tex]
Both fraction has same denominator. Write as common denominator 12
[tex]\Rightarrow \dfrac{11-7}{12}[/tex]
[tex]\Rightarrow \dfrac{4}{12}[/tex]
Now simplify the fraction if possible. Simplify if numerator and denominator has common factor.
[tex]\Rightarrow \dfrac{4\div4}{12\div4}[/tex]
[tex]\Rightarrow \dfrac{1}{3}[/tex]
Hence, The solution in simplest fraction [tex]\dfrac{1}{3}[/tex]
