Whakaoti i te x+20%x=1.56

$$x + 20 \% x = 1.56$$

Whakaoti mō x

$$x=1.3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{20}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$x+\frac{1}{5}x=1.56$$

Pahekotia te x me \frac{1}{5}x, ka \frac{6}{5}x.

$$\frac{6}{5}x=1.56$$

Me whakarea ngā taha e rua ki te \frac{5}{6}, te tau utu o \frac{6}{5}.

$$x=1.56\times \frac{5}{6}$$

Me tahuri ki tau ā-ira 1.56 ki te hautau \frac{156}{100}. Whakahekea te hautanga \frac{156}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=\frac{39}{25}\times \frac{5}{6}$$

Me whakarea te \frac{39}{25} ki te \frac{5}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{39\times 5}{25\times 6}$$

Mahia ngā whakarea i roto i te hautanga \frac{39\times 5}{25\times 6}.

$$x=\frac{195}{150}$$

Whakahekea te hautanga \frac{195}{150} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

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