Whakaoti i te 8/3:2/frac{1{2}:3/2}:(4-15/2):frac{1}{3}

$$\frac { \frac { 8 } { 3 } : 2 } { \frac { 1 } { 2 } : \frac { 3 } { 2 } } : ( 4 - \frac { 15 } { 2 } ) : \frac { 1 } { 3 }$$

Aromātai

$$-\frac{24}{7}\approx -3.428571429$$

Ngā Upane Otinga

Whakawehe \frac{\frac{\frac{\frac{8}{3}}{2}}{\frac{\frac{1}{2}}{\frac{3}{2}}}}{4-\frac{15}{2}} ki te \frac{1}{3} mā te whakarea \frac{\frac{\frac{\frac{8}{3}}{2}}{\frac{\frac{1}{2}}{\frac{3}{2}}}}{4-\frac{15}{2}} ki te tau huripoki o \frac{1}{3}.

$$\frac{\frac{\frac{\frac{8}{3}}{2}}{\frac{\frac{1}{2}}{\frac{3}{2}}}\times 3}{4-\frac{15}{2}}$$

Whakawehe \frac{\frac{8}{3}}{2} ki te \frac{\frac{1}{2}}{\frac{3}{2}} mā te whakarea \frac{\frac{8}{3}}{2} ki te tau huripoki o \frac{\frac{1}{2}}{\frac{3}{2}}.

$$\frac{\frac{\frac{8}{3}\times \frac{3}{2}}{2\times \frac{1}{2}}\times 3}{4-\frac{15}{2}}$$

Me whakarea te \frac{8}{3} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{\frac{8\times 3}{3\times 2}}{2\times \frac{1}{2}}\times 3}{4-\frac{15}{2}}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{\frac{\frac{8}{2}}{2\times \frac{1}{2}}\times 3}{4-\frac{15}{2}}$$

Whakawehea te 8 ki te 2, kia riro ko 4.

$$\frac{\frac{4}{2\times \frac{1}{2}}\times 3}{4-\frac{15}{2}}$$

Me whakakore te 2 me te 2.

$$\frac{\frac{4}{1}\times 3}{4-\frac{15}{2}}$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

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

Whakareatia te 4 ki te 3, ka 12.

$$\frac{12}{4-\frac{15}{2}}$$

Me tahuri te 4 ki te hautau \frac{8}{2}.

$$\frac{12}{\frac{8}{2}-\frac{15}{2}}$$

Tā te mea he rite te tauraro o \frac{8}{2} me \frac{15}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{12}{\frac{8-15}{2}}$$

Tangohia te 15 i te 8, ka -7.

$$\frac{12}{-\frac{7}{2}}$$

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

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

Tuhia te 12\left(-\frac{2}{7}\right) hei hautanga kotahi.

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

Whakareatia te 12 ki te -2, ka -24.

$$\frac{-24}{7}$$

Ka taea te hautanga \frac{-24}{7} te tuhi anō ko -\frac{24}{7} mā te tango i te tohu tōraro.

$$-\frac{24}{7}$$

Tauwehe

$$-\frac{24}{7} = -3\frac{3}{7} = -3.4285714285714284$$