Whakaoti i te E=-3/2div(8/12-5/4)

$$E = \frac { - 3 } { 2 } \div ( \frac { 8 } { 12 } - \frac { 5 } { 4 } )$$

Whakaoti mō E

$$E = \frac{18}{7} = 2\frac{4}{7} \approx 2.571428571$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Ka taea te hautanga \frac{-3}{2} te tuhi anō ko -\frac{3}{2} mā te tango i te tohu tōraro.

$$E=\frac{-\frac{3}{2}}{\frac{8}{12}-\frac{5}{4}}$$

Whakahekea te hautanga \frac{8}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$E=\frac{-\frac{3}{2}}{\frac{2}{3}-\frac{5}{4}}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{2}{3} me \frac{5}{4} ki te hautau me te tautūnga 12.

$$E=\frac{-\frac{3}{2}}{\frac{8}{12}-\frac{15}{12}}$$

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{15}{12}, me tango rāua mā te tango i ō raua taurunga.

$$E=\frac{-\frac{3}{2}}{\frac{8-15}{12}}$$

Tangohia te 15 i te 8, ka -7.

$$E=\frac{-\frac{3}{2}}{-\frac{7}{12}}$$

Whakawehe -\frac{3}{2} ki te -\frac{7}{12} mā te whakarea -\frac{3}{2} ki te tau huripoki o -\frac{7}{12}.

$$E=-\frac{3}{2}\left(-\frac{12}{7}\right)$$

Me whakarea te -\frac{3}{2} ki te -\frac{12}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$E=\frac{-3\left(-12\right)}{2\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{-3\left(-12\right)}{2\times 7}.

$$E=\frac{36}{14}$$

Whakahekea te hautanga \frac{36}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$E=\frac{18}{7}$$

Tautapa E

$$E≔\frac{18}{7}$$