Math, asked by Anonymous, 1 year ago

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

Answers

Answered by MaheswariS
71

\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 $\bf\dfrac{13}{7}$}

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Answered by topwriters
26

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

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