If \(x + \frac{1}{{1 + \;\frac{1}{{2 + \;\frac{1}{3}}}}} = 2,\) then what is x equal to?
13/10
\(\begin{array}{l} x + \frac{1}{{1 + \;\frac{1}{{2 + \;\frac{1}{3}}}}} = 2\\ \Rightarrow x + \frac{1}{{1 + \frac{3}{7}}} = 2 \end{array}\)
\(\begin{array}{l} \Rightarrow x + \frac{7}{{10}} = 2\\ \Rightarrow x = 2 - \frac{7}{{10}}\\ \Rightarrow x = \frac{{13}}{{10}} \end{array}\)
Similar Questions
What is the value of \(\sqrt[3]{{4\frac{{12}}{{125}}}}\) ?
Which one among the following is the largest?
What is \(\frac{{{6^2} + \;{7^2} + \;{8^2} + \;{9^2} + \;{{10}^2}}}{{\sqrt {7\; + \;4\sqrt 3 \;} - \;\sqrt {4\; + \;2\sqrt 3 } }}\) equal to?
In an examination, a student was asked to divide a certain number by 8. By mistake he multiplied it by 8 and got the answer 2016 more than the correct answer. What was the number?
What is \(\sqrt {1 + \frac{1}{{{1^{2}}}} + \frac{1}{{{2^{2}}}}} + \sqrt {1 + \frac{1}{{{2^{2}}}} + \frac{1}{{{3^{2}}}}} + \ldots \ldots .. + \sqrt {1 + \frac{1}{{{{2007}^{2}}}} + \frac{1}{{{{2008}^{2}}}}}\) equal to?
If \(x\, = \,7\, + \,4\sqrt 3 \) , then what is the value of \(\sqrt x \, + \,\frac{1}{{\sqrt x }}\) ?
Important Questions from Fractions
If three-fifths of a number is 54, what is two-ninth of it?
Sunila had \(9\frac{1}{4}\) kg of flour to make bread with. If the recipe says that she needs \(1\frac{1}{8}\) kg to make one loaf of bread, how many loafs can she make? Estimate to the nearest whole number.
The value of \(\frac{{11}}{5} - \left( {\frac{2}{3}of\frac{3}{5} - \frac{1}{5}} \right) + \left( {\frac{6}{5} \div \frac{4}{5}} \right)\) is:
In his career, a tennis player won 5 matches lost 12 matches and had 3 matches as draw. The fraction of the match he lost in his career is:
Simplify:
\(62\div 5 - \left(\frac{8}{9}\times \frac{18}{7}\right)\times \frac{7}{5}+\frac{5}{4}\times \frac{16}{25}\)
