Whakaoti i te (1/4-2/5)div(1/2-1/5)

$$( \frac { 1 } { 4 } - \frac { 2 } { 5 } ) \div ( \frac { 1 } { 2 } - \frac { 1 } { 5 } )$$

Aromātai

$$-\frac{1}{2}=-0.5$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 5 ko 20. Me tahuri \frac{1}{4} me \frac{2}{5} ki te hautau me te tautūnga 20.

$$\frac{\frac{5}{20}-\frac{8}{20}}{\frac{1}{2}-\frac{1}{5}}$$

Tā te mea he rite te tauraro o \frac{5}{20} me \frac{8}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{5-8}{20}}{\frac{1}{2}-\frac{1}{5}}$$

Tangohia te 8 i te 5, ka -3.

$$\frac{-\frac{3}{20}}{\frac{1}{2}-\frac{1}{5}}$$

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.

$$\frac{-\frac{3}{20}}{\frac{5}{10}-\frac{2}{10}}$$

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

$$\frac{-\frac{3}{20}}{\frac{5-2}{10}}$$

Tangohia te 2 i te 5, ka 3.

$$\frac{-\frac{3}{20}}{\frac{3}{10}}$$

Whakawehe -\frac{3}{20} ki te \frac{3}{10} mā te whakarea -\frac{3}{20} ki te tau huripoki o \frac{3}{10}.

$$-\frac{3}{20}\times \frac{10}{3}$$

Me whakarea te -\frac{3}{20} ki te \frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-3\times 10}{20\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{-3\times 10}{20\times 3}.

$$\frac{-30}{60}$$

Whakahekea te hautanga \frac{-30}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 30.

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

Tauwehe

$$-\frac{1}{2} = -0.5$$