Whakaoti i te (1-1/10)div(1/10+1/8)

$$( 1 - \frac { 1 } { 10 } ) \div ( \frac { 1 } { 10 } + \frac { 1 } { 8 } )$$

Aromātai

$$4$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{10}{10}.

$$\frac{\frac{10}{10}-\frac{1}{10}}{\frac{1}{10}+\frac{1}{8}}$$

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

$$\frac{\frac{10-1}{10}}{\frac{1}{10}+\frac{1}{8}}$$

Tangohia te 1 i te 10, ka 9.

$$\frac{\frac{9}{10}}{\frac{1}{10}+\frac{1}{8}}$$

Ko te maha noa iti rawa atu o 10 me 8 ko 40. Me tahuri \frac{1}{10} me \frac{1}{8} ki te hautau me te tautūnga 40.

$$\frac{\frac{9}{10}}{\frac{4}{40}+\frac{5}{40}}$$

Tā te mea he rite te tauraro o \frac{4}{40} me \frac{5}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{9}{10}}{\frac{4+5}{40}}$$

Tāpirihia te 4 ki te 5, ka 9.

$$\frac{\frac{9}{10}}{\frac{9}{40}}$$

Whakawehe \frac{9}{10} ki te \frac{9}{40} mā te whakarea \frac{9}{10} ki te tau huripoki o \frac{9}{40}.

$$\frac{9}{10}\times \frac{40}{9}$$

Me whakarea te \frac{9}{10} ki te \frac{40}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9\times 40}{10\times 9}$$

Me whakakore tahi te 9 i te taurunga me te tauraro.

$$\frac{40}{10}$$

Whakawehea te 40 ki te 10, kia riro ko 4.

$$4$$

Tauwehe

$$2^{2}$$