Whakaoti i te 2-13/4*(11/5-11/4)

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

Aromātai

$$\frac{167}{80}=2.0875$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

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

Tāpirihia te 4 ki te 3, ka 7.

$$2-\frac{7}{4}\left(\frac{1\times 5+1}{5}-\frac{1\times 4+1}{4}\right)$$

Whakareatia te 1 ki te 5, ka 5.

$$2-\frac{7}{4}\left(\frac{5+1}{5}-\frac{1\times 4+1}{4}\right)$$

Tāpirihia te 5 ki te 1, ka 6.

$$2-\frac{7}{4}\left(\frac{6}{5}-\frac{1\times 4+1}{4}\right)$$

Whakareatia te 1 ki te 4, ka 4.

$$2-\frac{7}{4}\left(\frac{6}{5}-\frac{4+1}{4}\right)$$

Tāpirihia te 4 ki te 1, ka 5.

$$2-\frac{7}{4}\left(\frac{6}{5}-\frac{5}{4}\right)$$

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{6}{5} me \frac{5}{4} ki te hautau me te tautūnga 20.

$$2-\frac{7}{4}\left(\frac{24}{20}-\frac{25}{20}\right)$$

Tā te mea he rite te tauraro o \frac{24}{20} me \frac{25}{20}, me tango rāua mā te tango i ō raua taurunga.

$$2-\frac{7}{4}\times \frac{24-25}{20}$$

Tangohia te 25 i te 24, ka -1.

$$2-\frac{7}{4}\left(-\frac{1}{20}\right)$$

Me whakarea te \frac{7}{4} ki te -\frac{1}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2-\frac{7\left(-1\right)}{4\times 20}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\left(-1\right)}{4\times 20}.

$$2-\frac{-7}{80}$$

Ka taea te hautanga \frac{-7}{80} te tuhi anō ko -\frac{7}{80} mā te tango i te tohu tōraro.

$$2-\left(-\frac{7}{80}\right)$$

Ko te tauaro o -\frac{7}{80} ko \frac{7}{80}.

$$2+\frac{7}{80}$$

Me tahuri te 2 ki te hautau \frac{160}{80}.

$$\frac{160}{80}+\frac{7}{80}$$

Tā te mea he rite te tauraro o \frac{160}{80} me \frac{7}{80}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{160+7}{80}$$

Tāpirihia te 160 ki te 7, ka 167.

$$\frac{167}{80}$$

Tauwehe

$$\frac{167}{2 ^ {4} \cdot 5} = 2\frac{7}{80} = 2.0875$$