Whakaoti i te -3216/25div(-8*4)+25^2+(1/2+2/3-3/4-frac{11}{12})*24

$$- 32 \frac { 16 } { 25 } \div ( - 8 \times 4 ) + 25 ^ { 2 } + ( \frac { 1 } { 2 } + \frac { 2 } { 3 } - \frac { 3 } { 4 } - \frac { 11 } { 12 } ) \times 24$$

Aromātai

$$\frac{30701}{50}=614.02$$

Ngā Upane Otinga

Whakareatia te 32 ki te 25, ka 800.

$$\frac{-\frac{800+16}{25}}{-8\times 4}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Tāpirihia te 800 ki te 16, ka 816.

$$\frac{-\frac{816}{25}}{-8\times 4}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Whakareatia te -8 ki te 4, ka -32.

$$\frac{-\frac{816}{25}}{-32}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Tuhia te \frac{-\frac{816}{25}}{-32} hei hautanga kotahi.

$$\frac{-816}{25\left(-32\right)}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Whakareatia te 25 ki te -32, ka -800.

$$\frac{-816}{-800}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Whakahekea te hautanga \frac{-816}{-800} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -16.

$$\frac{51}{50}+25^{2}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Tātaihia te 25 mā te pū o 2, kia riro ko 625.

$$\frac{51}{50}+625+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Me tahuri te 625 ki te hautau \frac{31250}{50}.

$$\frac{51}{50}+\frac{31250}{50}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Tā te mea he rite te tauraro o \frac{51}{50} me \frac{31250}{50}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{51+31250}{50}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Tāpirihia te 51 ki te 31250, ka 31301.

$$\frac{31301}{50}+\left(\frac{1}{2}+\frac{2}{3}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{2}{3} ki te hautau me te tautūnga 6.

$$\frac{31301}{50}+\left(\frac{3}{6}+\frac{4}{6}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{4}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{31301}{50}+\left(\frac{3+4}{6}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Tāpirihia te 3 ki te 4, ka 7.

$$\frac{31301}{50}+\left(\frac{7}{6}-\frac{3}{4}-\frac{11}{12}\right)\times 24$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{7}{6} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$\frac{31301}{50}+\left(\frac{14}{12}-\frac{9}{12}-\frac{11}{12}\right)\times 24$$

Tā te mea he rite te tauraro o \frac{14}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{31301}{50}+\left(\frac{14-9}{12}-\frac{11}{12}\right)\times 24$$

Tangohia te 9 i te 14, ka 5.

$$\frac{31301}{50}+\left(\frac{5}{12}-\frac{11}{12}\right)\times 24$$

Tā te mea he rite te tauraro o \frac{5}{12} me \frac{11}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{31301}{50}+\frac{5-11}{12}\times 24$$

Tangohia te 11 i te 5, ka -6.

$$\frac{31301}{50}+\frac{-6}{12}\times 24$$

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

$$\frac{31301}{50}-\frac{1}{2}\times 24$$

Tuhia te -\frac{1}{2}\times 24 hei hautanga kotahi.

$$\frac{31301}{50}+\frac{-24}{2}$$

Whakawehea te -24 ki te 2, kia riro ko -12.

$$\frac{31301}{50}-12$$

Me tahuri te 12 ki te hautau \frac{600}{50}.

$$\frac{31301}{50}-\frac{600}{50}$$

Tā te mea he rite te tauraro o \frac{31301}{50} me \frac{600}{50}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{31301-600}{50}$$

Tangohia te 600 i te 31301, ka 30701.

$$\frac{30701}{50}$$

Tauwehe

$$\frac{11 \cdot 2791}{2 \cdot 5 ^ {2}} = 614\frac{1}{50} = 614.02$$