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