Whakaoti i te 4/3*22/7*42*4-2=22/7*6*6*h

$$\frac { 4 } { 3 } \times \frac { 22 } { 7 } \times 42 \times 4 - 2 = \frac { 22 } { 7 } \times 6 \times 6 \times h$$

Whakaoti mō h

$$h = \frac{273}{44} = 6\frac{9}{44} \approx 6.204545455$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea te \frac{4}{3} ki te \frac{22}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 22}{3\times 7}\times 42\times 4-2=\frac{22}{7}\times 6\times 6h$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 22}{3\times 7}.

$$\frac{88}{21}\times 42\times 4-2=\frac{22}{7}\times 6\times 6h$$

Tuhia te \frac{88}{21}\times 42 hei hautanga kotahi.

$$\frac{88\times 42}{21}\times 4-2=\frac{22}{7}\times 6\times 6h$$

Whakareatia te 88 ki te 42, ka 3696.

$$\frac{3696}{21}\times 4-2=\frac{22}{7}\times 6\times 6h$$

Whakawehea te 3696 ki te 21, kia riro ko 176.

$$176\times 4-2=\frac{22}{7}\times 6\times 6h$$

Whakareatia te 176 ki te 4, ka 704.

$$704-2=\frac{22}{7}\times 6\times 6h$$

Tangohia te 2 i te 704, ka 702.

$$702=\frac{22}{7}\times 6\times 6h$$

Tuhia te \frac{22}{7}\times 6 hei hautanga kotahi.

$$702=\frac{22\times 6}{7}\times 6h$$

Whakareatia te 22 ki te 6, ka 132.

$$702=\frac{132}{7}\times 6h$$

Tuhia te \frac{132}{7}\times 6 hei hautanga kotahi.

$$702=\frac{132\times 6}{7}h$$

Whakareatia te 132 ki te 6, ka 792.

$$702=\frac{792}{7}h$$

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

$$\frac{792}{7}h=702$$

Me whakarea ngā taha e rua ki te \frac{7}{792}, te tau utu o \frac{792}{7}.

$$h=702\times \frac{7}{792}$$

Tuhia te 702\times \frac{7}{792} hei hautanga kotahi.

$$h=\frac{702\times 7}{792}$$

Whakareatia te 702 ki te 7, ka 4914.

$$h=\frac{4914}{792}$$

Whakahekea te hautanga \frac{4914}{792} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 18.

$$h=\frac{273}{44}$$