Whakaoti i te [(2/5)(4/3)-(1/3+2)]/1+[3(frac{1{2})]}=

$$\frac { [ ( \frac { 2 } { 5 } ) ( \frac { 4 } { 3 } ) - ( \frac { 1 } { 3 } + 2 ) ] } { 1 + [ 3 ( \frac { 1 } { 2 } ) ] } =$$

Aromātai

$$-\frac{18}{25}=-0.72$$

Ngā Upane Otinga

Me whakarea te \frac{2}{5} ki te \frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{2\times 4}{5\times 3}-\left(\frac{1}{3}+2\right)}{1+3\times \frac{1}{2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 4}{5\times 3}.

$$\frac{\frac{8}{15}-\left(\frac{1}{3}+2\right)}{1+3\times \frac{1}{2}}$$

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{\frac{8}{15}-\left(\frac{1}{3}+\frac{6}{3}\right)}{1+3\times \frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{1}{3} me \frac{6}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{8}{15}-\frac{1+6}{3}}{1+3\times \frac{1}{2}}$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{\frac{8}{15}-\frac{7}{3}}{1+3\times \frac{1}{2}}$$

Ko te maha noa iti rawa atu o 15 me 3 ko 15. Me tahuri \frac{8}{15} me \frac{7}{3} ki te hautau me te tautūnga 15.

$$\frac{\frac{8}{15}-\frac{35}{15}}{1+3\times \frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{8}{15} me \frac{35}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{8-35}{15}}{1+3\times \frac{1}{2}}$$

Tangohia te 35 i te 8, ka -27.

$$\frac{\frac{-27}{15}}{1+3\times \frac{1}{2}}$$

Whakahekea te hautanga \frac{-27}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{-\frac{9}{5}}{1+3\times \frac{1}{2}}$$

Whakareatia te 3 ki te \frac{1}{2}, ka \frac{3}{2}.

$$\frac{-\frac{9}{5}}{1+\frac{3}{2}}$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$\frac{-\frac{9}{5}}{\frac{2}{2}+\frac{3}{2}}$$

Tā te mea he rite te tauraro o \frac{2}{2} me \frac{3}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-\frac{9}{5}}{\frac{2+3}{2}}$$

Tāpirihia te 2 ki te 3, ka 5.

$$\frac{-\frac{9}{5}}{\frac{5}{2}}$$

Whakawehe -\frac{9}{5} ki te \frac{5}{2} mā te whakarea -\frac{9}{5} ki te tau huripoki o \frac{5}{2}.

$$-\frac{9}{5}\times \frac{2}{5}$$

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

$$\frac{-9\times 2}{5\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{-9\times 2}{5\times 5}.

$$\frac{-18}{25}$$

Ka taea te hautanga \frac{-18}{25} te tuhi anō ko -\frac{18}{25} mā te tango i te tohu tōraro.

$$-\frac{18}{25}$$

Tauwehe

$$-\frac{18}{25} = -0.72$$