Whakaoti i te 12:((1/8-1/4):(1/18-1/9))=

$$12 : ( ( \frac { 1 } { 8 } - \frac { 1 } { 4 } ) : ( \frac { 1 } { 18 } - \frac { 1 } { 9 } ) ) =$$

Aromātai

$$\frac{16}{3}\approx 5.333333333$$

Ngā Upane Otinga

Whakawehe 12 ki te \frac{\frac{1}{8}-\frac{1}{4}}{\frac{1}{18}-\frac{1}{9}} mā te whakarea 12 ki te tau huripoki o \frac{\frac{1}{8}-\frac{1}{4}}{\frac{1}{18}-\frac{1}{9}}.

$$\frac{12\left(\frac{1}{18}-\frac{1}{9}\right)}{\frac{1}{8}-\frac{1}{4}}$$

Ko te maha noa iti rawa atu o 18 me 9 ko 18. Me tahuri \frac{1}{18} me \frac{1}{9} ki te hautau me te tautūnga 18.

$$\frac{12\left(\frac{1}{18}-\frac{2}{18}\right)}{\frac{1}{8}-\frac{1}{4}}$$

Tā te mea he rite te tauraro o \frac{1}{18} me \frac{2}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{12\times \frac{1-2}{18}}{\frac{1}{8}-\frac{1}{4}}$$

Tangohia te 2 i te 1, ka -1.

$$\frac{12\left(-\frac{1}{18}\right)}{\frac{1}{8}-\frac{1}{4}}$$

Tuhia te 12\left(-\frac{1}{18}\right) hei hautanga kotahi.

$$\frac{\frac{12\left(-1\right)}{18}}{\frac{1}{8}-\frac{1}{4}}$$

Whakareatia te 12 ki te -1, ka -12.

$$\frac{\frac{-12}{18}}{\frac{1}{8}-\frac{1}{4}}$$

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

$$\frac{-\frac{2}{3}}{\frac{1}{8}-\frac{1}{4}}$$

Ko te maha noa iti rawa atu o 8 me 4 ko 8. Me tahuri \frac{1}{8} me \frac{1}{4} ki te hautau me te tautūnga 8.

$$\frac{-\frac{2}{3}}{\frac{1}{8}-\frac{2}{8}}$$

Tā te mea he rite te tauraro o \frac{1}{8} me \frac{2}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-\frac{2}{3}}{\frac{1-2}{8}}$$

Tangohia te 2 i te 1, ka -1.

$$\frac{-\frac{2}{3}}{-\frac{1}{8}}$$

Whakawehe -\frac{2}{3} ki te -\frac{1}{8} mā te whakarea -\frac{2}{3} ki te tau huripoki o -\frac{1}{8}.

$$-\frac{2}{3}\left(-8\right)$$

Tuhia te -\frac{2}{3}\left(-8\right) hei hautanga kotahi.

$$\frac{-2\left(-8\right)}{3}$$

Whakareatia te -2 ki te -8, ka 16.

$$\frac{16}{3}$$

Tauwehe

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$