If \(x + \frac{1}{{1 + \;\frac{1}{{2 + \;\frac{1}{3}}}}} = 2,\) then what is x equal to?
13/10
\(\begin{array}{l} x + \frac{1}{{1 + \;\frac{1}{{2 + \;\frac{1}{3}}}}} = 2\\ \Rightarrow x + \frac{1}{{1 + \frac{3}{7}}} = 2 \end{array}\)
\(\begin{array}{l} \Rightarrow x + \frac{7}{{10}} = 2\\ \Rightarrow x = 2 - \frac{7}{{10}}\\ \Rightarrow x = \frac{{13}}{{10}} \end{array}\)
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Match the following.
Column I
Column II
a.
Equivalent fraction of \(\frac{7}{12}\) is
i.
Proper fraction
b.
Equivalent fraction of \(\frac{9}{15}\) is
ii.
Improper fraction
c.
\(\frac{7}{11}\) is
iii.
\(\frac{21}{36}\)
d.
\(\frac{19}{5}\) is
iv.
\(\frac{3}{5}\)
