Whakaoti i te 50%x+4/5x=3.6

$$50 \% x + \frac { 4 } { 5 } x = 3.6$$

Whakaoti mō x

$$x = \frac{36}{13} = 2\frac{10}{13} \approx 2.769230769$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{50}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 50.

$$\frac{1}{2}x+\frac{4}{5}x=3.6$$

Pahekotia te \frac{1}{2}x me \frac{4}{5}x, ka \frac{13}{10}x.

$$\frac{13}{10}x=3.6$$

Me whakarea ngā taha e rua ki te \frac{10}{13}, te tau utu o \frac{13}{10}.

$$x=3.6\times \frac{10}{13}$$

Me tahuri ki tau ā-ira 3.6 ki te hautau \frac{36}{10}. Whakahekea te hautanga \frac{36}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{18}{5}\times \frac{10}{13}$$

Me whakarea te \frac{18}{5} ki te \frac{10}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{18\times 10}{5\times 13}$$

Mahia ngā whakarea i roto i te hautanga \frac{18\times 10}{5\times 13}.

$$x=\frac{180}{65}$$

Whakahekea te hautanga \frac{180}{65} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{36}{13}$$