Whakaoti i te (-10/9)div(-4/3)+4/15*(-5/2)

$$( - \frac { 10 } { 9 } ) \div ( - \frac { 4 } { 3 } ) + \frac { 4 } { 15 } \times ( - \frac { 5 } { 2 } )$$

Aromātai

$$\frac{1}{6}\approx 0.166666667$$

Ngā Upane Otinga

Whakawehe -\frac{10}{9} ki te -\frac{4}{3} mā te whakarea -\frac{10}{9} ki te tau huripoki o -\frac{4}{3}.

$$-\frac{10}{9}\left(-\frac{3}{4}\right)+\frac{4}{15}\left(-\frac{5}{2}\right)$$

Me whakarea te -\frac{10}{9} ki te -\frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-10\left(-3\right)}{9\times 4}+\frac{4}{15}\left(-\frac{5}{2}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-10\left(-3\right)}{9\times 4}.

$$\frac{30}{36}+\frac{4}{15}\left(-\frac{5}{2}\right)$$

Whakahekea te hautanga \frac{30}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{5}{6}+\frac{4}{15}\left(-\frac{5}{2}\right)$$

Me whakarea te \frac{4}{15} ki te -\frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{6}+\frac{4\left(-5\right)}{15\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-5\right)}{15\times 2}.

$$\frac{5}{6}+\frac{-20}{30}$$

Whakahekea te hautanga \frac{-20}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{5}{6}-\frac{2}{3}$$

Ko te maha noa iti rawa atu o 6 me 3 ko 6. Me tahuri \frac{5}{6} me \frac{2}{3} ki te hautau me te tautūnga 6.

$$\frac{5}{6}-\frac{4}{6}$$

Tā te mea he rite te tauraro o \frac{5}{6} me \frac{4}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5-4}{6}$$

Tangohia te 4 i te 5, ka 1.

$$\frac{1}{6}$$

Tauwehe

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$