Question

Simplificati fractia :
$\frac{xy00xy}{610061}$

Answer 1

xy00xy = xy • 10000 + xy
610061 = 61 • 10000 + 61

Scriem numerele sub forma desfacuta si in fractie:
[tex] \frac{xy * 10001}{61 * 10001} \\ \\ Se\ reduce\ 10001\ cu\ 10001, si\ vom\ avea: \\ \\ \frac{xy}{61} [/tex]

Answer 2

$\overline{xy00xy}= 10000 \cdot \overline{xy}+ \overline{xy}=10001 \cdot \overline{xy}. \\ \\ 610061=61 \cdot 10001 \\ \\ \dfrac{ \overline{xy00xy}}{610061}= \dfrac{10001 \cdot \overline{xy}}{10001 \cdot 61}= \dfrac{\overline{xy}}{61} .$