Whakaoti i te 1/2*(1-3/4)-2*(3/4-1)

$$\frac { 1 } { 2 } \cdot ( 1 - \frac { 3 } { 4 } ) - 2 \cdot ( \frac { 3 } { 4 } - 1 )$$

Aromātai

$$\frac{5}{8}=0.625$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$\frac{1}{2}\left(\frac{4}{4}-\frac{3}{4}\right)-2\left(\frac{3}{4}-1\right)$$

Tā te mea he rite te tauraro o \frac{4}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2}\times \frac{4-3}{4}-2\left(\frac{3}{4}-1\right)$$

Tangohia te 3 i te 4, ka 1.

$$\frac{1}{2}\times \frac{1}{4}-2\left(\frac{3}{4}-1\right)$$

Me whakarea te \frac{1}{2} ki te \frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 1}{2\times 4}-2\left(\frac{3}{4}-1\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 1}{2\times 4}.

$$\frac{1}{8}-2\left(\frac{3}{4}-1\right)$$

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$\frac{1}{8}-2\left(\frac{3}{4}-\frac{4}{4}\right)$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{4}{4}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 4 i te 3, ka -1.

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

Tuhia te 2\left(-\frac{1}{4}\right) hei hautanga kotahi.

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

Whakareatia te 2 ki te -1, ka -2.

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

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

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

Ko te tauaro o -\frac{1}{2} ko \frac{1}{2}.

$$\frac{1}{8}+\frac{1}{2}$$

Ko te maha noa iti rawa atu o 8 me 2 ko 8. Me tahuri \frac{1}{8} me \frac{1}{2} ki te hautau me te tautūnga 8.

$$\frac{1}{8}+\frac{4}{8}$$

Tā te mea he rite te tauraro o \frac{1}{8} me \frac{4}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1+4}{8}$$

Tāpirihia te 1 ki te 4, ka 5.

$$\frac{5}{8}$$

Tauwehe

$$\frac{5}{2 ^ {3}} = 0.625$$