Question

Find the value of 1 +1 /1+1 /6

Answer 1

$\textbf{To find:}$

$\text{The value of 1+\dfrac{1}{1+\dfrac{1}{6}} }$

$\textbf{Solution:}$

$\text{Step by step calucaton of the given expression:}$

$1+\dfrac{1}{1+\dfrac{1}{6}}$

$=1+\dfrac{1}{\dfrac{6+1}{6}}$

$=1+\dfrac{1}{\dfrac{7}{6}}$

$=1+\dfrac{6}{7}$

$=\dfrac{7+6}{7}$

$=\dfrac{13}{7}$

$\therefore\textbf{The value of \bf1+\dfrac{1}{1+\dfrac{1}{6}} is \bf\dfrac{13}{7} }$

Find more:

Find the value of √3136 and use it to find the value of √31.36 + √0.3136

https://brainly.in/question/5760458

Square root of 0.289 / 0.00121

https://brainly.in/question/5411647

Answer 2

1 + [ 1 / (1 + 1/6) ] =  13/7

Step-by-step explanation:

We have to solve this in the correct hierarchy of operations in order to get the correct answer.

We have to first solve what's inside the parenthesis. So 1 + 1/6 = 7/6

Next we solve the fraction inside the square bracket. So 1 / (7/6) = 6/7

Now we can add 1 and 6/7 by finding the LCM. We get the answer 13/7.

Value of 1 + [ 1 / (1 + 1/6) ] = 1 + [ 1 / (7/6) ]

 = 1 + [ 6 / 7]

= 13/7