Whakaoti i te (22/9*34/5)*23/4

$$( 2 \frac { 2 } { 9 } \times 3 \frac { 4 } { 5 } ) \times 2 \frac { 3 } { 4 }$$

Aromātai

$$\frac{209}{9}\approx 23.222222222$$

Ngā Upane Otinga

Whakareatia te 2 ki te 9, ka 18.

$$\frac{18+2}{9}\times \frac{3\times 5+4}{5}\times \frac{2\times 4+3}{4}$$

Tāpirihia te 18 ki te 2, ka 20.

$$\frac{20}{9}\times \frac{3\times 5+4}{5}\times \frac{2\times 4+3}{4}$$

Whakareatia te 3 ki te 5, ka 15.

$$\frac{20}{9}\times \frac{15+4}{5}\times \frac{2\times 4+3}{4}$$

Tāpirihia te 15 ki te 4, ka 19.

$$\frac{20}{9}\times \frac{19}{5}\times \frac{2\times 4+3}{4}$$

Me whakarea te \frac{20}{9} ki te \frac{19}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{20\times 19}{9\times 5}\times \frac{2\times 4+3}{4}$$

Mahia ngā whakarea i roto i te hautanga \frac{20\times 19}{9\times 5}.

$$\frac{380}{45}\times \frac{2\times 4+3}{4}$$

Whakahekea te hautanga \frac{380}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{76}{9}\times \frac{2\times 4+3}{4}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{76}{9}\times \frac{8+3}{4}$$

Tāpirihia te 8 ki te 3, ka 11.

$$\frac{76}{9}\times \frac{11}{4}$$

Me whakarea te \frac{76}{9} ki te \frac{11}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{76\times 11}{9\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{76\times 11}{9\times 4}.

$$\frac{836}{36}$$

Whakahekea te hautanga \frac{836}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{209}{9}$$

Tauwehe

$$\frac{11 \cdot 19}{3 ^ {2}} = 23\frac{2}{9} = 23.22222222222222$$