Whakaoti i te 71/2:41/2=x:3/25

$$7 \frac { 1 } { 2 } : 4 \frac { 1 } { 2 } = x : \frac { 3 } { 25 }$$

Whakaoti mō x

$$x=\frac{1}{5}=0.2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehe \frac{7\times 2+1}{2} ki te \frac{4\times 2+1}{2} mā te whakarea \frac{7\times 2+1}{2} ki te tau huripoki o \frac{4\times 2+1}{2}.

$$\frac{\left(7\times 2+1\right)\times 2}{2\left(4\times 2+1\right)}=\frac{x}{\frac{3}{25}}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{1+2\times 7}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{1+14}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

Tāpirihia te 1 ki te 14, ka 15.

$$\frac{15}{1+2\times 4}=\frac{x}{\frac{3}{25}}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{15}{1+8}=\frac{x}{\frac{3}{25}}$$

Tāpirihia te 1 ki te 8, ka 9.

$$\frac{15}{9}=\frac{x}{\frac{3}{25}}$$

Whakahekea te hautanga \frac{15}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{3}=\frac{x}{\frac{3}{25}}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{x}{\frac{3}{25}}=\frac{5}{3}$$

Me whakarea ngā taha e rua ki te \frac{3}{25}.

$$x=\frac{5}{3}\times \frac{3}{25}$$

Me whakarea te \frac{5}{3} ki te \frac{3}{25} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{5\times 3}{3\times 25}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$x=\frac{5}{25}$$

Whakahekea te hautanga \frac{5}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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