Whakaoti i te a/frac{1{2}}=1280/frac{1{2}+1/5+1/10}

$$\frac { a } { \frac { 1 } { 2 } } = \frac { 1280 } { \frac { 1 } { 2 } + \frac { 1 } { 5 } + \frac { 1 } { 10 } }$$

Whakaoti mō a

$$a=800$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Ko te maha noa iti rawa atu o 2 me 5 ko 10. Me tahuri \frac{1}{2} me \frac{1}{5} ki te hautau me te tautūnga 10.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{5}{10}+\frac{2}{10}+\frac{1}{10}}$$

Tā te mea he rite te tauraro o \frac{5}{10} me \frac{2}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{5+2}{10}+\frac{1}{10}}$$

Tāpirihia te 5 ki te 2, ka 7.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{7}{10}+\frac{1}{10}}$$

Tā te mea he rite te tauraro o \frac{7}{10} me \frac{1}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{7+1}{10}}$$

Tāpirihia te 7 ki te 1, ka 8.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{8}{10}}$$

Whakahekea te hautanga \frac{8}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{a}{\frac{1}{2}}=\frac{1280}{\frac{4}{5}}$$

Whakawehe 1280 ki te \frac{4}{5} mā te whakarea 1280 ki te tau huripoki o \frac{4}{5}.

$$\frac{a}{\frac{1}{2}}=1280\times \frac{5}{4}$$

Tuhia te 1280\times \frac{5}{4} hei hautanga kotahi.

$$\frac{a}{\frac{1}{2}}=\frac{1280\times 5}{4}$$

Whakareatia te 1280 ki te 5, ka 6400.

$$\frac{a}{\frac{1}{2}}=\frac{6400}{4}$$

Whakawehea te 6400 ki te 4, kia riro ko 1600.

$$\frac{a}{\frac{1}{2}}=1600$$

Me whakarea ngā taha e rua ki te \frac{1}{2}.

$$a=1600\times \frac{1}{2}$$

Whakareatia te 1600 ki te \frac{1}{2}, ka \frac{1600}{2}.

$$a=\frac{1600}{2}$$

Whakawehea te 1600 ki te 2, kia riro ko 800.

$$a=800$$