Whakaoti i te (2/7*12/3+1/7*2/3)div(frac{2}{3}*2frac{1}{4}+frac{2}{3}*frac{3}{4})

$$( \frac { 2 } { 7 } \times 1 \frac { 2 } { 3 } + \frac { 1 } { 7 } \times \frac { 2 } { 3 } ) \div ( \frac { 2 } { 3 } \times 2 \frac { 1 } { 4 } + \frac { 2 } { 3 } \times \frac { 3 } { 4 } )$$

Aromātai

$$\frac{2}{7}\approx 0.285714286$$

Ngā Upane Otinga

Whakareatia te 1 ki te 3, ka 3.

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

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{\frac{2}{7}\times \frac{5}{3}+\frac{1}{7}\times \frac{2}{3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Me whakarea te \frac{2}{7} ki te \frac{5}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{2\times 5}{7\times 3}+\frac{1}{7}\times \frac{2}{3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 5}{7\times 3}.

$$\frac{\frac{10}{21}+\frac{1}{7}\times \frac{2}{3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Me whakarea te \frac{1}{7} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{10}{21}+\frac{1\times 2}{7\times 3}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{7\times 3}.

$$\frac{\frac{10}{21}+\frac{2}{21}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Tā te mea he rite te tauraro o \frac{10}{21} me \frac{2}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{10+2}{21}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Tāpirihia te 10 ki te 2, ka 12.

$$\frac{\frac{12}{21}}{\frac{2}{3}\times \frac{2\times 4+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Whakahekea te hautanga \frac{12}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

Whakareatia te 2 ki te 4, ka 8.

$$\frac{\frac{4}{7}}{\frac{2}{3}\times \frac{8+1}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{\frac{4}{7}}{\frac{2}{3}\times \frac{9}{4}+\frac{2}{3}\times \frac{3}{4}}$$

Me whakarea te \frac{2}{3} ki te \frac{9}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{4}{7}}{\frac{2\times 9}{3\times 4}+\frac{2}{3}\times \frac{3}{4}}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 9}{3\times 4}.

$$\frac{\frac{4}{7}}{\frac{18}{12}+\frac{2}{3}\times \frac{3}{4}}$$

Whakahekea te hautanga \frac{18}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{\frac{4}{7}}{\frac{3}{2}+\frac{2}{3}\times \frac{3}{4}}$$

Me whakarea te \frac{2}{3} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{4}{7}}{\frac{3}{2}+\frac{2\times 3}{3\times 4}}$$

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

$$\frac{\frac{4}{7}}{\frac{3}{2}+\frac{2}{4}}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{4}{7}}{\frac{3}{2}+\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{3}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4}{7}}{\frac{3+1}{2}}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{\frac{4}{7}}{\frac{4}{2}}$$

Whakawehea te 4 ki te 2, kia riro ko 2.

$$\frac{\frac{4}{7}}{2}$$

Tuhia te \frac{\frac{4}{7}}{2} hei hautanga kotahi.

$$\frac{4}{7\times 2}$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{4}{14}$$

Whakahekea te hautanga \frac{4}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2}{7}$$

Tauwehe

$$\frac{2}{7} = 0.2857142857142857$$