Whakaoti i te 1/2-[2/7-3/4-(5/14+1)+(frac{1}{4}+frac{1}{7}-frac{3}{4})+2]

$$\frac { 1 } { 2 } - [ \frac { 2 } { 7 } - \frac { 3 } { 4 } - ( \frac { 5 } { 14 } + 1 ) + ( \frac { 1 } { 4 } + \frac { 1 } { 7 } - \frac { 3 } { 4 } ) + 2 ]$$

Aromātai

$$\frac{19}{28}\approx 0.678571429$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 7 me 4 ko 28. Me tahuri \frac{2}{7} me \frac{3}{4} ki te hautau me te tautūnga 28.

$$\frac{1}{2}-\left(\frac{8}{28}-\frac{21}{28}-\left(\frac{5}{14}+1\right)+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tā te mea he rite te tauraro o \frac{8}{28} me \frac{21}{28}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2}-\left(\frac{8-21}{28}-\left(\frac{5}{14}+1\right)+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tangohia te 21 i te 8, ka -13.

$$\frac{1}{2}-\left(-\frac{13}{28}-\left(\frac{5}{14}+1\right)+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Me tahuri te 1 ki te hautau \frac{14}{14}.

$$\frac{1}{2}-\left(-\frac{13}{28}-\left(\frac{5}{14}+\frac{14}{14}\right)+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tā te mea he rite te tauraro o \frac{5}{14} me \frac{14}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{2}-\left(-\frac{13}{28}-\frac{5+14}{14}+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tāpirihia te 5 ki te 14, ka 19.

$$\frac{1}{2}-\left(-\frac{13}{28}-\frac{19}{14}+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Ko te maha noa iti rawa atu o 28 me 14 ko 28. Me tahuri -\frac{13}{28} me \frac{19}{14} ki te hautau me te tautūnga 28.

$$\frac{1}{2}-\left(-\frac{13}{28}-\frac{38}{28}+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tā te mea he rite te tauraro o -\frac{13}{28} me \frac{38}{28}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2}-\left(\frac{-13-38}{28}+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tangohia te 38 i te -13, ka -51.

$$\frac{1}{2}-\left(-\frac{51}{28}+\frac{1}{4}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Ko te maha noa iti rawa atu o 28 me 4 ko 28. Me tahuri -\frac{51}{28} me \frac{1}{4} ki te hautau me te tautūnga 28.

$$\frac{1}{2}-\left(-\frac{51}{28}+\frac{7}{28}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tā te mea he rite te tauraro o -\frac{51}{28} me \frac{7}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{2}-\left(\frac{-51+7}{28}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tāpirihia te -51 ki te 7, ka -44.

$$\frac{1}{2}-\left(\frac{-44}{28}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Whakahekea te hautanga \frac{-44}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1}{2}-\left(-\frac{11}{7}+\frac{1}{7}-\frac{3}{4}+2\right)$$

Tā te mea he rite te tauraro o -\frac{11}{7} me \frac{1}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{2}-\left(\frac{-11+1}{7}-\frac{3}{4}+2\right)$$

Tāpirihia te -11 ki te 1, ka -10.

$$\frac{1}{2}-\left(-\frac{10}{7}-\frac{3}{4}+2\right)$$

Ko te maha noa iti rawa atu o 7 me 4 ko 28. Me tahuri -\frac{10}{7} me \frac{3}{4} ki te hautau me te tautūnga 28.

$$\frac{1}{2}-\left(-\frac{40}{28}-\frac{21}{28}+2\right)$$

Tā te mea he rite te tauraro o -\frac{40}{28} me \frac{21}{28}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2}-\left(\frac{-40-21}{28}+2\right)$$

Tangohia te 21 i te -40, ka -61.

$$\frac{1}{2}-\left(-\frac{61}{28}+2\right)$$

Me tahuri te 2 ki te hautau \frac{56}{28}.

$$\frac{1}{2}-\left(-\frac{61}{28}+\frac{56}{28}\right)$$

Tā te mea he rite te tauraro o -\frac{61}{28} me \frac{56}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{2}-\frac{-61+56}{28}$$

Tāpirihia te -61 ki te 56, ka -5.

$$\frac{1}{2}-\left(-\frac{5}{28}\right)$$

Ko te tauaro o -\frac{5}{28} ko \frac{5}{28}.

$$\frac{1}{2}+\frac{5}{28}$$

Ko te maha noa iti rawa atu o 2 me 28 ko 28. Me tahuri \frac{1}{2} me \frac{5}{28} ki te hautau me te tautūnga 28.

$$\frac{14}{28}+\frac{5}{28}$$

Tā te mea he rite te tauraro o \frac{14}{28} me \frac{5}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{14+5}{28}$$

Tāpirihia te 14 ki te 5, ka 19.

$$\frac{19}{28}$$

Tauwehe

$$\frac{19}{2 ^ {2} \cdot 7} = 0.6785714285714286$$