Question

find the sum of the following. 5/6 and 11/12​

Answer 1

Answer:

taking lcm of 6,12 is 12 then 5×2/6×2+11/12=21/12=7/4

Answer 2

Given :

• 5/6
• 11/12

To find :

• Sum of the fraction

Step-by-step-solution :

Here, in this question, we have to find the sum of the following Fraction.

$\sf \dfrac{5}{6} + \dfrac{11}{12}$

• So, first, we have to find the L.C.M of the Denominators.

$\Large{ \begin{array}{c|c} \sf 6 & \sf{12,6} \\ \cline{1-2} \sf 2 & \sf {2,1} \\ \cline{1-2} \sf & \sf{ 1,1} \end{array}}$

LC.M = 6 × 2

         = 12

• Next, converting the fractions.

$\sf = \dfrac{5 \times 2 }{6 \times 2 } + \dfrac{11}{12}$

• At last, adding the fractions.

$\sf = \dfrac{10}{12 } + \dfrac{11}{12}$

$\sf = \dfrac{10 + 12}{12 }$

$\sf = \dfrac{22}{12 }$

Therefore, the sum of 5/6 + 11/12 is 22/12.