What is the the simplest form of 11/12 +[-7/12
The Correct Answer and Explanation is:
The expression is:
1112+(−712)\frac{11}{12} + \left( -\frac{7}{12} \right)1211+(−127)
To simplify this, let’s break it down step by step.
Step 1: Combine the fractions
Both fractions have the same denominator of 12, so we can directly add the numerators.
1112+(−712)=11+(−7)12=11−712=412\frac{11}{12} + \left( -\frac{7}{12} \right) = \frac{11 + (-7)}{12} = \frac{11 – 7}{12} = \frac{4}{12}1211+(−127)=1211+(−7)=1211−7=124
Step 2: Simplify the fraction
The fraction 412\frac{4}{12}124 can be simplified by finding the greatest common divisor (GCD) of 4 and 12. The GCD of 4 and 12 is 4, so we divide both the numerator and denominator by 4:412=4÷412÷4=13\frac{4}{12} = \frac{4 \div 4}{12 \div 4} = \frac{1}{3}124=12÷44÷4=31
Final Answer:
The simplest form of 1112+(−712)\frac{11}{12} + \left( -\frac{7}{12} \right)1211+(−127) is:13\frac{1}{3}31
Explanation:
When adding or subtracting fractions, it’s essential that the fractions have a common denominator. In this case, both fractions had the same denominator (12), so we could directly combine the numerators. After combining the fractions, we ended up with 412\frac{4}{12}124, which could be simplified by dividing both the numerator and denominator by their GCD. This gave us the simplest form of 13\frac{1}{3}31.
