Whakaoti i te 21/2/3frac{1{3}}=s/4frac{1{4}}

$$\frac { 2 \frac { 1 } { 2 } } { 3 \frac { 1 } { 3 } } = \frac { s } { 4 \frac { 1 } { 4 } }$$

Whakaoti mō s

$$s = \frac{51}{16} = 3\frac{3}{16} = 3.1875$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehe \frac{2\times 2+1}{2} ki te \frac{3\times 3+1}{3} mā te whakarea \frac{2\times 2+1}{2} ki te tau huripoki o \frac{3\times 3+1}{3}.

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

Whakareatia te 2 ki te 2, ka 4.

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

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{5\times 3}{2\left(3\times 3+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{15}{2\left(3\times 3+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{15}{2\left(9+1\right)}=\frac{s}{\frac{4\times 4+1}{4}}$$

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{15}{2\times 10}=\frac{s}{\frac{4\times 4+1}{4}}$$

Whakareatia te 2 ki te 10, ka 20.

$$\frac{15}{20}=\frac{s}{\frac{4\times 4+1}{4}}$$

Whakahekea te hautanga \frac{15}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{3}{4}=\frac{s}{\frac{4\times 4+1}{4}}$$

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

$$\frac{3}{4}=\frac{s\times 4}{4\times 4+1}$$

Whakareatia te 4 ki te 4, ka 16.

$$\frac{3}{4}=\frac{s\times 4}{16+1}$$

Tāpirihia te 16 ki te 1, ka 17.

$$\frac{3}{4}=\frac{s\times 4}{17}$$

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

$$\frac{s\times 4}{17}=\frac{3}{4}$$

Me whakarea ngā taha e rua ki te 17.

$$s\times 4=\frac{3}{4}\times 17$$

Tuhia te \frac{3}{4}\times 17 hei hautanga kotahi.

$$s\times 4=\frac{3\times 17}{4}$$

Whakareatia te 3 ki te 17, ka 51.

$$s\times 4=\frac{51}{4}$$

Whakawehea ngā taha e rua ki te 4.

$$s=\frac{\frac{51}{4}}{4}$$

Tuhia te \frac{\frac{51}{4}}{4} hei hautanga kotahi.

$$s=\frac{51}{4\times 4}$$

Whakareatia te 4 ki te 4, ka 16.

$$s=\frac{51}{16}$$