Whakaoti i te -06(16*(-9/13)-5)-(29*(-9/13)-8)-4(4-15*(-9/13)

$$-06(16 \times (- \frac{ 9 }{ 13 } )-5)-(29 \times (- \frac{ 9 }{ 13 } )-8)-4(4-15 \times (- \frac{ 9 }{ 13 } )$$

Aromātai

$$67$$

Ngā Upane Otinga

Tuhia te 16\left(-\frac{9}{13}\right) hei hautanga kotahi.

$$-6\left(\frac{16\left(-9\right)}{13}-5\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Whakareatia te 16 ki te -9, ka -144.

$$-6\left(\frac{-144}{13}-5\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Ka taea te hautanga \frac{-144}{13} te tuhi anō ko -\frac{144}{13} mā te tango i te tohu tōraro.

$$-6\left(-\frac{144}{13}-5\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Me tahuri te 5 ki te hautau \frac{65}{13}.

$$-6\left(-\frac{144}{13}-\frac{65}{13}\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tā te mea he rite te tauraro o -\frac{144}{13} me \frac{65}{13}, me tango rāua mā te tango i ō raua taurunga.

$$-6\times \frac{-144-65}{13}-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tangohia te 65 i te -144, ka -209.

$$-6\left(-\frac{209}{13}\right)-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tuhia te -6\left(-\frac{209}{13}\right) hei hautanga kotahi.

$$\frac{-6\left(-209\right)}{13}-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Whakareatia te -6 ki te -209, ka 1254.

$$\frac{1254}{13}-\left(29\left(-\frac{9}{13}\right)-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tuhia te 29\left(-\frac{9}{13}\right) hei hautanga kotahi.

$$\frac{1254}{13}-\left(\frac{29\left(-9\right)}{13}-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Whakareatia te 29 ki te -9, ka -261.

$$\frac{1254}{13}-\left(\frac{-261}{13}-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Ka taea te hautanga \frac{-261}{13} te tuhi anō ko -\frac{261}{13} mā te tango i te tohu tōraro.

$$\frac{1254}{13}-\left(-\frac{261}{13}-8\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Me tahuri te 8 ki te hautau \frac{104}{13}.

$$\frac{1254}{13}-\left(-\frac{261}{13}-\frac{104}{13}\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tā te mea he rite te tauraro o -\frac{261}{13} me \frac{104}{13}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1254}{13}-\frac{-261-104}{13}-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tangohia te 104 i te -261, ka -365.

$$\frac{1254}{13}-\left(-\frac{365}{13}\right)-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Ko te tauaro o -\frac{365}{13} ko \frac{365}{13}.

$$\frac{1254}{13}+\frac{365}{13}-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tā te mea he rite te tauraro o \frac{1254}{13} me \frac{365}{13}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1254+365}{13}-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tāpirihia te 1254 ki te 365, ka 1619.

$$\frac{1619}{13}-4\left(4-15\left(-\frac{9}{13}\right)\right)$$

Tuhia te 15\left(-\frac{9}{13}\right) hei hautanga kotahi.

$$\frac{1619}{13}-4\left(4-\frac{15\left(-9\right)}{13}\right)$$

Whakareatia te 15 ki te -9, ka -135.

$$\frac{1619}{13}-4\left(4-\frac{-135}{13}\right)$$

Ka taea te hautanga \frac{-135}{13} te tuhi anō ko -\frac{135}{13} mā te tango i te tohu tōraro.

$$\frac{1619}{13}-4\left(4-\left(-\frac{135}{13}\right)\right)$$

Ko te tauaro o -\frac{135}{13} ko \frac{135}{13}.

$$\frac{1619}{13}-4\left(4+\frac{135}{13}\right)$$

Me tahuri te 4 ki te hautau \frac{52}{13}.

$$\frac{1619}{13}-4\left(\frac{52}{13}+\frac{135}{13}\right)$$

Tā te mea he rite te tauraro o \frac{52}{13} me \frac{135}{13}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1619}{13}-4\times \frac{52+135}{13}$$

Tāpirihia te 52 ki te 135, ka 187.

$$\frac{1619}{13}-4\times \frac{187}{13}$$

Tuhia te 4\times \frac{187}{13} hei hautanga kotahi.

$$\frac{1619}{13}-\frac{4\times 187}{13}$$

Whakareatia te 4 ki te 187, ka 748.

$$\frac{1619}{13}-\frac{748}{13}$$

Tā te mea he rite te tauraro o \frac{1619}{13} me \frac{748}{13}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1619-748}{13}$$

Tangohia te 748 i te 1619, ka 871.

$$\frac{871}{13}$$

Whakawehea te 871 ki te 13, kia riro ko 67.

$$67$$

Tauwehe

$$67$$