Whakaoti i te 3/4-1/2:2+15/8(-4/5)-1:(-frac{2}{3})

$$\frac { 3 } { 4 } - \frac { 1 } { 2 } : 2 + \frac { 15 } { 8 } ( - \frac { 4 } { 5 } ) - 1 : ( - \frac { 2 } { 3 } )$$

Aromātai

$$\frac{1}{2}=0.5$$

Ngā Upane Otinga

Tuhia te \frac{\frac{1}{2}}{2} hei hautanga kotahi.

$$\frac{3}{4}-\frac{1}{2\times 2}+\frac{15}{8}\left(-\frac{4}{5}\right)-\frac{1}{-\frac{2}{3}}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{3}{4}-\frac{1}{4}+\frac{15}{8}\left(-\frac{4}{5}\right)-\frac{1}{-\frac{2}{3}}$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3-1}{4}+\frac{15}{8}\left(-\frac{4}{5}\right)-\frac{1}{-\frac{2}{3}}$$

Tangohia te 1 i te 3, ka 2.

$$\frac{2}{4}+\frac{15}{8}\left(-\frac{4}{5}\right)-\frac{1}{-\frac{2}{3}}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{2}+\frac{15}{8}\left(-\frac{4}{5}\right)-\frac{1}{-\frac{2}{3}}$$

Me whakarea te \frac{15}{8} ki te -\frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{2}+\frac{15\left(-4\right)}{8\times 5}-\frac{1}{-\frac{2}{3}}$$

Mahia ngā whakarea i roto i te hautanga \frac{15\left(-4\right)}{8\times 5}.

$$\frac{1}{2}+\frac{-60}{40}-\frac{1}{-\frac{2}{3}}$$

Whakahekea te hautanga \frac{-60}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$\frac{1}{2}-\frac{3}{2}-\frac{1}{-\frac{2}{3}}$$

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{3}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-3}{2}-\frac{1}{-\frac{2}{3}}$$

Tangohia te 3 i te 1, ka -2.

$$\frac{-2}{2}-\frac{1}{-\frac{2}{3}}$$

Whakawehea te -2 ki te 2, kia riro ko -1.

$$-1-\frac{1}{-\frac{2}{3}}$$

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

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

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

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

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

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

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

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

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.

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

Tāpirihia te -2 ki te 3, ka 1.

$$\frac{1}{2}$$

Tauwehe

$$\frac{1}{2} = 0.5$$