Whakaoti i te x+206/36x/3x+frac{412{36}x}

$$\frac{ x+ \frac{ 206 }{ 36 } x }{ 3x+ \frac{ 412 }{ 36 } x }$$

Aromātai

$$\frac{121}{260}\approx 0.465384615$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{206}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{x+\frac{103}{18}x}{3x+\frac{412}{36}x}$$

Pahekotia te x me \frac{103}{18}x, ka \frac{121}{18}x.

$$\frac{\frac{121}{18}x}{3x+\frac{412}{36}x}$$

Whakahekea te hautanga \frac{412}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{\frac{121}{18}x}{3x+\frac{103}{9}x}$$

Pahekotia te 3x me \frac{103}{9}x, ka \frac{130}{9}x.

$$\frac{\frac{121}{18}x}{\frac{130}{9}x}$$

Me whakakore tahi te x i te taurunga me te tauraro.

$$\frac{\frac{121}{18}}{\frac{130}{9}}$$

Whakawehe \frac{121}{18} ki te \frac{130}{9} mā te whakarea \frac{121}{18} ki te tau huripoki o \frac{130}{9}.

$$\frac{121}{18}\times \frac{9}{130}$$

Me whakarea te \frac{121}{18} ki te \frac{9}{130} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{121\times 9}{18\times 130}$$

Mahia ngā whakarea i roto i te hautanga \frac{121\times 9}{18\times 130}.

$$\frac{1089}{2340}$$

Whakahekea te hautanga \frac{1089}{2340} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{121}{260}$$

Tauwehe

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 5 \cdot 13} = 0.4653846153846154$$