Question

Add- 6/8 ,8/11,-12/11 mathamatics​

Answer 1

Answer:

-49/44

Step-by-step explanation:

-6/8+8/11-12/11 = -6/8-4/11 = -98/88 = -49/44

Answer 2

Answer:

$\frac{-49}{44}$

Step-by-step explanation:

• ADDITION OF  FRACTIONS:
• When to  fractions having same denominator are to be added, we can simply add the numerator and the divide the numerator and denominator to the lowest terms.
• When two fractions having different denominator are to be added we must firs find the LCM of the two or more denominators. so, that e must multiply both numerator and denominator with such a number that can make the denominators same.
• Now, after getting the same denominator we must add the numerators and divide the numerator and denominator the lowest terms to get the required answer.

In the question we were asked to add $\frac{-6}{8} , \frac{8}{11} , \frac{-12}{11}$

$\frac{8}{11} , \frac{-12}{11}$ have same denominator, whereas $\frac{-6}{8}$ has 8 as denominator.

so, we must first add $\frac{8}{11} , \frac{-12}{11}$ and then add $\frac{-6}{8}$ to the resultant by find the LCM of the denominators.

$\frac{-6}{8} +\frac{8}{11} +\frac{-12}{11}$

$\frac{-6}{8} +\frac{8}{11} +\frac{-12}{11}\\\\\frac{-6}{8} +\frac{8-12}{11} \\\\\frac{-6}{8} +\frac{-4}{11}$

8 and 11 has only 1 as common factor. so, LCM of 8 and 11 is 88.

To get the denominator as 88, we must multiply $\frac{-6}{8}$ with 111 and $\frac{-4}{11}$ with 8.

After multiplying we get,,

$\frac{-66}{88} +\frac{-32}{88} \\\\\frac{-66-32}{88}\\\\\frac{-98}{88}$

Now, we  must convert the resultant sum into lowest terms..

$\frac{-98}{88} = \frac{-49}{44}$

By adding $\frac{-6}{8} , \frac{8}{11} , \frac{-12}{11}$ the sum we get is: $\frac{-49}{44}$

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