Whakaoti i te (-77-73)*(-7/25div-63+-261div14/5)

$$(-77-73) \times (- \frac{ 7 }{ 25 } \div -63+-261 \div 1 \frac{ 4 }{ 5 } )$$

Aromātai

$$\frac{65248}{3}\approx 21749.333333333$$

Ngā Upane Otinga

Tangohia te 73 i te -77, ka -150.

$$-150\left(\frac{-\frac{7}{25}}{-63}+\frac{-261}{\frac{5+4}{5}}\right)$$

Tuhia te \frac{-\frac{7}{25}}{-63} hei hautanga kotahi.

$$-150\left(\frac{-7}{25\left(-63\right)}+\frac{-261}{\frac{5+4}{5}}\right)$$

Whakareatia te 25 ki te -63, ka -1575.

$$-150\left(\frac{-7}{-1575}+\frac{-261}{\frac{5+4}{5}}\right)$$

Whakahekea te hautanga \frac{-7}{-1575} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -7.

$$-150\left(\frac{1}{225}+\frac{-261}{\frac{5+4}{5}}\right)$$

Whakawehe -261 ki te \frac{1\times 5+4}{5} mā te whakarea -261 ki te tau huripoki o \frac{1\times 5+4}{5}.

$$-150\left(\frac{1}{225}+\frac{-261\times 5}{5+4}\right)$$

Whakareatia te -261 ki te 5, ka -1305.

$$-150\left(\frac{1}{225}+\frac{-1305}{5+4}\right)$$

Tāpirihia te 5 ki te 4, ka 9.

$$-150\left(\frac{1}{225}+\frac{-1305}{9}\right)$$

Whakawehea te -1305 ki te 9, kia riro ko -145.

$$-150\left(\frac{1}{225}-145\right)$$

Me tahuri te 145 ki te hautau \frac{32625}{225}.

$$-150\left(\frac{1}{225}-\frac{32625}{225}\right)$$

Tā te mea he rite te tauraro o \frac{1}{225} me \frac{32625}{225}, me tango rāua mā te tango i ō raua taurunga.

$$-150\times \frac{1-32625}{225}$$

Tangohia te 32625 i te 1, ka -32624.

$$-150\left(-\frac{32624}{225}\right)$$

Tuhia te -150\left(-\frac{32624}{225}\right) hei hautanga kotahi.

$$\frac{-150\left(-32624\right)}{225}$$

Whakareatia te -150 ki te -32624, ka 4893600.

$$\frac{4893600}{225}$$

Whakahekea te hautanga \frac{4893600}{225} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 75.

$$\frac{65248}{3}$$

Tauwehe

$$\frac{2 ^ {5} \cdot 2039}{3} = 21749\frac{1}{3} = 21749.333333333332$$