Whakaoti i te 2-(5/2+3/4)-(1-4/5)*3/4

$$2 - ( \frac { 5 } { 2 } + \frac { 3 } { 4 } ) - ( 1 - \frac { 4 } { 5 } ) \cdot \frac { 3 } { 4 }$$

Aromātai

$$-\frac{7}{5}=-1.4$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{5}{2} me \frac{3}{4} ki te hautau me te tautūnga 4.

$$2-\left(\frac{10}{4}+\frac{3}{4}\right)-\left(1-\frac{4}{5}\right)\times \frac{3}{4}$$

Tā te mea he rite te tauraro o \frac{10}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2-\frac{10+3}{4}-\left(1-\frac{4}{5}\right)\times \frac{3}{4}$$

Tāpirihia te 10 ki te 3, ka 13.

$$2-\frac{13}{4}-\left(1-\frac{4}{5}\right)\times \frac{3}{4}$$

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{8}{4}-\frac{13}{4}-\left(1-\frac{4}{5}\right)\times \frac{3}{4}$$

Tā te mea he rite te tauraro o \frac{8}{4} me \frac{13}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-13}{4}-\left(1-\frac{4}{5}\right)\times \frac{3}{4}$$

Tangohia te 13 i te 8, ka -5.

$$-\frac{5}{4}-\left(1-\frac{4}{5}\right)\times \frac{3}{4}$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$-\frac{5}{4}-\left(\frac{5}{5}-\frac{4}{5}\right)\times \frac{3}{4}$$

Tā te mea he rite te tauraro o \frac{5}{5} me \frac{4}{5}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{5}{4}-\frac{5-4}{5}\times \frac{3}{4}$$

Tangohia te 4 i te 5, ka 1.

$$-\frac{5}{4}-\frac{1}{5}\times \frac{3}{4}$$

Me whakarea te \frac{1}{5} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{5}{4}-\frac{1\times 3}{5\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{5\times 4}.

$$-\frac{5}{4}-\frac{3}{20}$$

Ko te maha noa iti rawa atu o 4 me 20 ko 20. Me tahuri -\frac{5}{4} me \frac{3}{20} ki te hautau me te tautūnga 20.

$$-\frac{25}{20}-\frac{3}{20}$$

Tā te mea he rite te tauraro o -\frac{25}{20} me \frac{3}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-25-3}{20}$$

Tangohia te 3 i te -25, ka -28.

$$\frac{-28}{20}$$

Whakahekea te hautanga \frac{-28}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-\frac{7}{5}$$

Tauwehe

$$-\frac{7}{5} = -1\frac{2}{5} = -1.4$$