Whakaoti i te 1/5+(-2/3)-(-(-1/2)div(-1/4)+(-frac{1}{5}*(-2divfrac{1}{3})-frac{3}{5}))

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

Aromātai

$$\frac{14}{15}\approx 0.933333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{1}{5} me \frac{2}{3} ki te hautau me te tautūnga 15.

$$\frac{3}{15}-\frac{10}{15}-\left(\frac{-\left(-\frac{1}{2}\right)}{-\frac{1}{4}}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

Tā te mea he rite te tauraro o \frac{3}{15} me \frac{10}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3-10}{15}-\left(\frac{-\left(-\frac{1}{2}\right)}{-\frac{1}{4}}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

Tangohia te 10 i te 3, ka -7.

$$-\frac{7}{15}-\left(\frac{-\left(-\frac{1}{2}\right)}{-\frac{1}{4}}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

Ko te tauaro o -\frac{1}{2} ko \frac{1}{2}.

$$-\frac{7}{15}-\left(\frac{\frac{1}{2}}{-\frac{1}{4}}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

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

$$-\frac{7}{15}-\left(\frac{1}{2}\left(-4\right)-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

Whakareatia te \frac{1}{2} ki te -4, ka \frac{-4}{2}.

$$-\frac{7}{15}-\left(\frac{-4}{2}-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

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

$$-\frac{7}{15}-\left(-2-\frac{1}{5}\times \frac{-2}{\frac{1}{3}}-\frac{3}{5}\right)$$

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

$$-\frac{7}{15}-\left(-2-\frac{1}{5}\left(-2\right)\times 3-\frac{3}{5}\right)$$

Whakareatia te -2 ki te 3, ka -6.

$$-\frac{7}{15}-\left(-2-\frac{1}{5}\left(-6\right)-\frac{3}{5}\right)$$

Tuhia te -\frac{1}{5}\left(-6\right) hei hautanga kotahi.

$$-\frac{7}{15}-\left(-2+\frac{-\left(-6\right)}{5}-\frac{3}{5}\right)$$

Whakareatia te -1 ki te -6, ka 6.

$$-\frac{7}{15}-\left(-2+\frac{6}{5}-\frac{3}{5}\right)$$

Me tahuri te -2 ki te hautau -\frac{10}{5}.

$$-\frac{7}{15}-\left(-\frac{10}{5}+\frac{6}{5}-\frac{3}{5}\right)$$

Tā te mea he rite te tauraro o -\frac{10}{5} me \frac{6}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{7}{15}-\left(\frac{-10+6}{5}-\frac{3}{5}\right)$$

Tāpirihia te -10 ki te 6, ka -4.

$$-\frac{7}{15}-\left(-\frac{4}{5}-\frac{3}{5}\right)$$

Tā te mea he rite te tauraro o -\frac{4}{5} me \frac{3}{5}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{7}{15}-\frac{-4-3}{5}$$

Tangohia te 3 i te -4, ka -7.

$$-\frac{7}{15}-\left(-\frac{7}{5}\right)$$

Ko te tauaro o -\frac{7}{5} ko \frac{7}{5}.

$$-\frac{7}{15}+\frac{7}{5}$$

Ko te maha noa iti rawa atu o 15 me 5 ko 15. Me tahuri -\frac{7}{15} me \frac{7}{5} ki te hautau me te tautūnga 15.

$$-\frac{7}{15}+\frac{21}{15}$$

Tā te mea he rite te tauraro o -\frac{7}{15} me \frac{21}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-7+21}{15}$$

Tāpirihia te -7 ki te 21, ka 14.

$$\frac{14}{15}$$

Tauwehe

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$