Home

Exemplary Question Types

1.
\(\samefrac{2}{3}+\samefrac{22}{33}+\samefrac{222}{333}=?\)
2.
\(\samefrac{2}{7}+\samefrac{3}{11}+\samefrac{5}{13}=x\)
\(\Rightarrow\samefrac{3}{7}+\samefrac{5}{11}+\samefrac{16}{13}\)

What is the sum of \(\samefrac37+\samefrac5{11}+\samefrac{16}{13}\) in terms of x?

3.
\(\samefrac1x+\samefrac1y+\samefrac1z=3\)
\(\Rightarrow\samefrac{2x+1}x+\samefrac{3y+1}y-\samefrac{4z-1}z=?\)
4.
\(x,y\in\mathbb R\)
\(\samefrac{2x-3y}{y-4}=0\)

can not be the value of "x"?

5.
\(a=7{,}38\overline4\)
\(b=7{,}3\overline{84}\)
\(c=7{,}\overline{384}\)
\(d=7{,}384\)
\(\Rightarrow ?<?<?<?\)
6.
\(x,y\in\mathbb Z\)
\(\samefrac1{x-3}+\samefrac1{x+y-4}=1\)
\(\Rightarrow x+y=?\)
7.
\(a,b,c\in\mathbb Z\)
\(a+\samefrac1{b+\samefrac1c}=\samefrac{15}{4}\)
\(\Rightarrow a+b+c=?\)
8.
\(2+\samefrac{2-\samefrac{2+\samefrac{2-\samefrac{\mathinner{\mkern1mu\raise1pt{.}\mkern2mu\raise4pt{.}\mkern2mu\raise7pt{.}\mkern1mu}}3}3}3}3=?\)