Whakaoti i te 2/3-7/10div(-7/15)

$$\frac { 2 } { 3 } - \frac { 7 } { 10 } \div ( - \frac { 7 } { 15 } )$$

Aromātai

$$\frac{13}{6}\approx 2.166666667$$

Ngā Upane Otinga

Whakawehe \frac{7}{10} ki te -\frac{7}{15} mā te whakarea \frac{7}{10} ki te tau huripoki o -\frac{7}{15}.

$$\frac{2}{3}-\frac{7}{10}\left(-\frac{15}{7}\right)$$

Me whakarea te \frac{7}{10} ki te -\frac{15}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2}{3}-\frac{7\left(-15\right)}{10\times 7}$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$\frac{2}{3}-\frac{-15}{10}$$

Whakahekea te hautanga \frac{-15}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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

Ko te tauaro o -\frac{3}{2} ko \frac{3}{2}.

$$\frac{2}{3}+\frac{3}{2}$$

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

$$\frac{4}{6}+\frac{9}{6}$$

Tā te mea he rite te tauraro o \frac{4}{6} me \frac{9}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4+9}{6}$$

Tāpirihia te 4 ki te 9, ka 13.

$$\frac{13}{6}$$

Tauwehe

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$