Whakaoti i te xdiv5/6=6/5div6/7

$$x \div \frac{ 5 }{ 6 } = \frac{ 6 }{ 5 } \div \frac{ 6 }{ 7 }$$

Whakaoti mō x

$$x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehe \frac{6}{5} ki te \frac{6}{7} mā te whakarea \frac{6}{5} ki te tau huripoki o \frac{6}{7}.

$$\frac{x}{\frac{5}{6}}=\frac{6}{5}\times \frac{7}{6}$$

Me whakarea te \frac{6}{5} ki te \frac{7}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{x}{\frac{5}{6}}=\frac{6\times 7}{5\times 6}$$

Me whakakore tahi te 6 i te taurunga me te tauraro.

$$\frac{x}{\frac{5}{6}}=\frac{7}{5}$$

Me whakarea ngā taha e rua ki te \frac{5}{6}.

$$x=\frac{7}{5}\times \frac{5}{6}$$

Me whakarea te \frac{7}{5} ki te \frac{5}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{7\times 5}{5\times 6}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$x=\frac{7}{6}$$