Whakaoti i te 3/4/1/6+5^2/3/1/12/6+(8-1/4)+3

$$\frac { \frac { 3 / 4 } { 1 / 6 } + \frac { 5 ^ { 2 } / 3 } { 1 / 12 } } { 6 + ( 8 - 1 / 4 ) } + 3$$

Aromātai

$$\frac{53}{5}=10.6$$

Ngā Upane Otinga

Whakawehe \frac{3}{4} ki te \frac{1}{6} mā te whakarea \frac{3}{4} ki te tau huripoki o \frac{1}{6}.

$$\frac{\frac{3}{4}\times 6+\frac{\frac{5^{2}}{3}}{\frac{1}{12}}}{6+8-\frac{1}{4}}+3$$

Tuhia te \frac{3}{4}\times 6 hei hautanga kotahi.

$$\frac{\frac{3\times 6}{4}+\frac{\frac{5^{2}}{3}}{\frac{1}{12}}}{6+8-\frac{1}{4}}+3$$

Whakareatia te 3 ki te 6, ka 18.

$$\frac{\frac{18}{4}+\frac{\frac{5^{2}}{3}}{\frac{1}{12}}}{6+8-\frac{1}{4}}+3$$

Whakahekea te hautanga \frac{18}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{9}{2}+\frac{\frac{5^{2}}{3}}{\frac{1}{12}}}{6+8-\frac{1}{4}}+3$$

Whakawehe \frac{5^{2}}{3} ki te \frac{1}{12} mā te whakarea \frac{5^{2}}{3} ki te tau huripoki o \frac{1}{12}.

$$\frac{\frac{9}{2}+\frac{5^{2}\times 12}{3}}{6+8-\frac{1}{4}}+3$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\frac{\frac{9}{2}+\frac{25\times 12}{3}}{6+8-\frac{1}{4}}+3$$

Whakareatia te 25 ki te 12, ka 300.

$$\frac{\frac{9}{2}+\frac{300}{3}}{6+8-\frac{1}{4}}+3$$

Whakawehea te 300 ki te 3, kia riro ko 100.

$$\frac{\frac{9}{2}+100}{6+8-\frac{1}{4}}+3$$

Me tahuri te 100 ki te hautau \frac{200}{2}.

$$\frac{\frac{9}{2}+\frac{200}{2}}{6+8-\frac{1}{4}}+3$$

Tā te mea he rite te tauraro o \frac{9}{2} me \frac{200}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{9+200}{2}}{6+8-\frac{1}{4}}+3$$

Tāpirihia te 9 ki te 200, ka 209.

$$\frac{\frac{209}{2}}{6+8-\frac{1}{4}}+3$$

Tāpirihia te 6 ki te 8, ka 14.

$$\frac{\frac{209}{2}}{14-\frac{1}{4}}+3$$

Me tahuri te 14 ki te hautau \frac{56}{4}.

$$\frac{\frac{209}{2}}{\frac{56}{4}-\frac{1}{4}}+3$$

Tā te mea he rite te tauraro o \frac{56}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{209}{2}}{\frac{56-1}{4}}+3$$

Tangohia te 1 i te 56, ka 55.

$$\frac{\frac{209}{2}}{\frac{55}{4}}+3$$

Whakawehe \frac{209}{2} ki te \frac{55}{4} mā te whakarea \frac{209}{2} ki te tau huripoki o \frac{55}{4}.

$$\frac{209}{2}\times \frac{4}{55}+3$$

Me whakarea te \frac{209}{2} ki te \frac{4}{55} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{209\times 4}{2\times 55}+3$$

Mahia ngā whakarea i roto i te hautanga \frac{209\times 4}{2\times 55}.

$$\frac{836}{110}+3$$

Whakahekea te hautanga \frac{836}{110} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 22.

$$\frac{38}{5}+3$$

Me tahuri te 3 ki te hautau \frac{15}{5}.

$$\frac{38}{5}+\frac{15}{5}$$

Tā te mea he rite te tauraro o \frac{38}{5} me \frac{15}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{38+15}{5}$$

Tāpirihia te 38 ki te 15, ka 53.

$$\frac{53}{5}$$

Tauwehe

$$\frac{53}{5} = 10\frac{3}{5} = 10.6$$