Whakaoti i te (-7)*(2^2/3-3/4+1/2)*(-6)-0.25^2div(-1/4)div(-1)

$$( - 7 ) \times ( \frac { 2 ^ { 2 } } { 3 } - \frac { 3 } { 4 } + \frac { 1 } { 2 } ) \times ( - 6 ) - 0.25 ^ { 2 } \div ( - \frac { 1 } { 4 } ) \div ( - 1 )$$

Aromātai

$$45.25$$

Ngā Upane Otinga

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$-7\left(\frac{4}{3}-\frac{3}{4}+\frac{1}{2}\right)\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{4}{3} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$-7\left(\frac{16}{12}-\frac{9}{12}+\frac{1}{2}\right)\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Tā te mea he rite te tauraro o \frac{16}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$-7\left(\frac{16-9}{12}+\frac{1}{2}\right)\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Tangohia te 9 i te 16, ka 7.

$$-7\left(\frac{7}{12}+\frac{1}{2}\right)\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Ko te maha noa iti rawa atu o 12 me 2 ko 12. Me tahuri \frac{7}{12} me \frac{1}{2} ki te hautau me te tautūnga 12.

$$-7\left(\frac{7}{12}+\frac{6}{12}\right)\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Tā te mea he rite te tauraro o \frac{7}{12} me \frac{6}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-7\times \frac{7+6}{12}\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Tāpirihia te 7 ki te 6, ka 13.

$$-7\times \frac{13}{12}\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Tuhia te -7\times \frac{13}{12} hei hautanga kotahi.

$$\frac{-7\times 13}{12}\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Whakareatia te -7 ki te 13, ka -91.

$$\frac{-91}{12}\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Ka taea te hautanga \frac{-91}{12} te tuhi anō ko -\frac{91}{12} mā te tango i te tohu tōraro.

$$-\frac{91}{12}\left(-6\right)-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Tuhia te -\frac{91}{12}\left(-6\right) hei hautanga kotahi.

$$\frac{-91\left(-6\right)}{12}-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Whakareatia te -91 ki te -6, ka 546.

$$\frac{546}{12}-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Whakahekea te hautanga \frac{546}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{91}{2}-\frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1}$$

Tuhia te \frac{\frac{0.25^{2}}{-\frac{1}{4}}}{-1} hei hautanga kotahi.

$$\frac{91}{2}-\frac{0.25^{2}}{-\frac{1}{4}\left(-1\right)}$$

Tātaihia te 0.25 mā te pū o 2, kia riro ko 0.0625.

$$\frac{91}{2}-\frac{0.0625}{-\frac{1}{4}\left(-1\right)}$$

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

$$\frac{91}{2}-\frac{0.0625}{\frac{1}{4}}$$

Whakawehe 0.0625 ki te \frac{1}{4} mā te whakarea 0.0625 ki te tau huripoki o \frac{1}{4}.

$$\frac{91}{2}-0.0625\times 4$$

Whakareatia te 0.0625 ki te 4, ka 0.25.

$$\frac{91}{2}-0.25$$

Me tahuri ki tau ā-ira 0.25 ki te hautau \frac{25}{100}. Whakahekea te hautanga \frac{25}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{91}{2}-\frac{1}{4}$$

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{91}{2} me \frac{1}{4} ki te hautau me te tautūnga 4.

$$\frac{182}{4}-\frac{1}{4}$$

Tā te mea he rite te tauraro o \frac{182}{4} me \frac{1}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{182-1}{4}$$

Tangohia te 1 i te 182, ka 181.

$$\frac{181}{4}$$

Tauwehe

$$\frac{181}{2 ^ {2}} = 45\frac{1}{4} = 45.25$$