Whakaoti i te =41/2(381/4-411/8)

$$= 4 \frac { 1 } { 2 } ( 38 \frac { 1 } { 4 } - 41 \frac { 1 } { 8 } )$$

Aromātai

$$-\frac{207}{16}=-12.9375$$

Ngā Upane Otinga

Whakareatia te 4 ki te 2, ka 8.

$$\frac{8+1}{2}\left(\frac{38\times 4+1}{4}-\frac{41\times 8+1}{8}\right)$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{9}{2}\left(\frac{38\times 4+1}{4}-\frac{41\times 8+1}{8}\right)$$

Whakareatia te 38 ki te 4, ka 152.

$$\frac{9}{2}\left(\frac{152+1}{4}-\frac{41\times 8+1}{8}\right)$$

Tāpirihia te 152 ki te 1, ka 153.

$$\frac{9}{2}\left(\frac{153}{4}-\frac{41\times 8+1}{8}\right)$$

Whakareatia te 41 ki te 8, ka 328.

$$\frac{9}{2}\left(\frac{153}{4}-\frac{328+1}{8}\right)$$

Tāpirihia te 328 ki te 1, ka 329.

$$\frac{9}{2}\left(\frac{153}{4}-\frac{329}{8}\right)$$

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{153}{4} me \frac{329}{8} ki te hautau me te tautūnga 8.

$$\frac{9}{2}\left(\frac{306}{8}-\frac{329}{8}\right)$$

Tā te mea he rite te tauraro o \frac{306}{8} me \frac{329}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{9}{2}\times \frac{306-329}{8}$$

Tangohia te 329 i te 306, ka -23.

$$\frac{9}{2}\left(-\frac{23}{8}\right)$$

Me whakarea te \frac{9}{2} ki te -\frac{23}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9\left(-23\right)}{2\times 8}$$

Mahia ngā whakarea i roto i te hautanga \frac{9\left(-23\right)}{2\times 8}.

$$\frac{-207}{16}$$

Ka taea te hautanga \frac{-207}{16} te tuhi anō ko -\frac{207}{16} mā te tango i te tohu tōraro.

$$-\frac{207}{16}$$

Tauwehe

$$-\frac{207}{16} = -12\frac{15}{16} = -12.9375$$