Whakaoti i te 41/2*(-12/3)div3div3/4

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

Aromātai

$$-\frac{10}{3}\approx -3.333333333$$

Ngā Upane Otinga

Whakawehe \frac{\frac{4\times 2+1}{2}\left(-\frac{1\times 3+2}{3}\right)}{3} ki te \frac{3}{4} mā te whakarea \frac{\frac{4\times 2+1}{2}\left(-\frac{1\times 3+2}{3}\right)}{3} ki te tau huripoki o \frac{3}{4}.

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

Whakareatia te 4 ki te 2, ka 8.

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

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{\frac{9}{2}\left(-\frac{1\times 3+2}{3}\right)\times 4}{3\times 3}$$

Whakareatia te 1 ki te 3, ka 3.

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

Tāpirihia te 3 ki te 2, ka 5.

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

Me whakarea te \frac{9}{2} ki te -\frac{5}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{9\left(-5\right)}{2\times 3}.

$$\frac{\frac{-45}{6}\times 4}{3\times 3}$$

Whakahekea te hautanga \frac{-45}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{-\frac{15}{2}\times 4}{3\times 3}$$

Tuhia te -\frac{15}{2}\times 4 hei hautanga kotahi.

$$\frac{\frac{-15\times 4}{2}}{3\times 3}$$

Whakareatia te -15 ki te 4, ka -60.

$$\frac{\frac{-60}{2}}{3\times 3}$$

Whakawehea te -60 ki te 2, kia riro ko -30.

$$\frac{-30}{3\times 3}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{-30}{9}$$

Whakahekea te hautanga \frac{-30}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

Tauwehe

$$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$$