Whakaoti i te 2/8*(1-3/2)-1/2div(-2/5)

$$\frac { 2 } { 8 } \times ( 1 - \frac { 3 } { 2 } ) - \frac { 1 } { 2 } \div ( - \frac { 2 } { 5 } )$$

Aromātai

$$\frac{9}{8}=1.125$$

Ngā Upane Otinga

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

$$\frac{1}{4}\left(1-\frac{3}{2}\right)-\frac{\frac{1}{2}}{-\frac{2}{5}}$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$\frac{1}{4}\left(\frac{2}{2}-\frac{3}{2}\right)-\frac{\frac{1}{2}}{-\frac{2}{5}}$$

Tā te mea he rite te tauraro o \frac{2}{2} me \frac{3}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{4}\times \frac{2-3}{2}-\frac{\frac{1}{2}}{-\frac{2}{5}}$$

Tangohia te 3 i te 2, ka -1.

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

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

$$\frac{1\left(-1\right)}{4\times 2}-\frac{\frac{1}{2}}{-\frac{2}{5}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-1\right)}{4\times 2}.

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

Ka taea te hautanga \frac{-1}{8} te tuhi anō ko -\frac{1}{8} mā te tango i te tohu tōraro.

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

Whakawehe \frac{1}{2} ki te -\frac{2}{5} mā te whakarea \frac{1}{2} ki te tau huripoki o -\frac{2}{5}.

$$-\frac{1}{8}-\frac{1}{2}\left(-\frac{5}{2}\right)$$

Me whakarea te \frac{1}{2} ki te -\frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{1}{8}-\frac{1\left(-5\right)}{2\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-5\right)}{2\times 2}.

$$-\frac{1}{8}-\frac{-5}{4}$$

Ka taea te hautanga \frac{-5}{4} te tuhi anō ko -\frac{5}{4} mā te tango i te tohu tōraro.

$$-\frac{1}{8}-\left(-\frac{5}{4}\right)$$

Ko te tauaro o -\frac{5}{4} ko \frac{5}{4}.

$$-\frac{1}{8}+\frac{5}{4}$$

Ko te maha noa iti rawa atu o 8 me 4 ko 8. Me tahuri -\frac{1}{8} me \frac{5}{4} ki te hautau me te tautūnga 8.

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

Tā te mea he rite te tauraro o -\frac{1}{8} me \frac{10}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te -1 ki te 10, ka 9.

$$\frac{9}{8}$$

Tauwehe

$$\frac{3 ^ {2}}{2 ^ {3}} = 1\frac{1}{8} = 1.125$$