Whakaoti i te 7div2-[21+4div(2+5)*(25div8)div(5div2)^2]

$$7 \div 2 - [ 21 + 4 \div ( 2 + 5 ) \times ( 25 \div 8 ) \div ( 5 \div 2 ) ^ { 2 } ]$$

Aromātai

$$-\frac{249}{14}\approx -17.785714286$$

Ngā Upane Otinga

Tāpirihia te 2 ki te 5, ka 7.

$$\frac{7}{2}-\left(21+\frac{\frac{4}{7}\times \frac{25}{8}}{\left(\frac{5}{2}\right)^{2}}\right)$$

Me whakarea te \frac{4}{7} ki te \frac{25}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7}{2}-\left(21+\frac{\frac{4\times 25}{7\times 8}}{\left(\frac{5}{2}\right)^{2}}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 25}{7\times 8}.

$$\frac{7}{2}-\left(21+\frac{\frac{100}{56}}{\left(\frac{5}{2}\right)^{2}}\right)$$

Whakahekea te hautanga \frac{100}{56} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{7}{2}-\left(21+\frac{\frac{25}{14}}{\left(\frac{5}{2}\right)^{2}}\right)$$

Tātaihia te \frac{5}{2} mā te pū o 2, kia riro ko \frac{25}{4}.

$$\frac{7}{2}-\left(21+\frac{\frac{25}{14}}{\frac{25}{4}}\right)$$

Whakawehe \frac{25}{14} ki te \frac{25}{4} mā te whakarea \frac{25}{14} ki te tau huripoki o \frac{25}{4}.

$$\frac{7}{2}-\left(21+\frac{25}{14}\times \frac{4}{25}\right)$$

Me whakarea te \frac{25}{14} ki te \frac{4}{25} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7}{2}-\left(21+\frac{25\times 4}{14\times 25}\right)$$

Me whakakore tahi te 25 i te taurunga me te tauraro.

$$\frac{7}{2}-\left(21+\frac{4}{14}\right)$$

Whakahekea te hautanga \frac{4}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{7}{2}-\left(21+\frac{2}{7}\right)$$

Me tahuri te 21 ki te hautau \frac{147}{7}.

$$\frac{7}{2}-\left(\frac{147}{7}+\frac{2}{7}\right)$$

Tā te mea he rite te tauraro o \frac{147}{7} me \frac{2}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7}{2}-\frac{147+2}{7}$$

Tāpirihia te 147 ki te 2, ka 149.

$$\frac{7}{2}-\frac{149}{7}$$

Ko te maha noa iti rawa atu o 2 me 7 ko 14. Me tahuri \frac{7}{2} me \frac{149}{7} ki te hautau me te tautūnga 14.

$$\frac{49}{14}-\frac{298}{14}$$

Tā te mea he rite te tauraro o \frac{49}{14} me \frac{298}{14}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{49-298}{14}$$

Tangohia te 298 i te 49, ka -249.

$$-\frac{249}{14}$$

Tauwehe

$$-\frac{249}{14} = -17\frac{11}{14} = -17.785714285714285$$