Whakaoti i te -9/8-6/5/frac{7{4}+1/2}

$$\frac { - \frac { 9 } { 8 } - \frac { 6 } { 5 } } { \frac { 7 } { 4 } + \frac { 1 } { 2 } }$$

Aromātai

$$-\frac{31}{30}\approx -1.033333333$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 8 me 5 ko 40. Me tahuri -\frac{9}{8} me \frac{6}{5} ki te hautau me te tautūnga 40.

$$\frac{-\frac{45}{40}-\frac{48}{40}}{\frac{7}{4}+\frac{1}{2}}$$

Tā te mea he rite te tauraro o -\frac{45}{40} me \frac{48}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{-45-48}{40}}{\frac{7}{4}+\frac{1}{2}}$$

Tangohia te 48 i te -45, ka -93.

$$\frac{-\frac{93}{40}}{\frac{7}{4}+\frac{1}{2}}$$

Ko te maha noa iti rawa atu o 4 me 2 ko 4. Me tahuri \frac{7}{4} me \frac{1}{2} ki te hautau me te tautūnga 4.

$$\frac{-\frac{93}{40}}{\frac{7}{4}+\frac{2}{4}}$$

Tā te mea he rite te tauraro o \frac{7}{4} me \frac{2}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-\frac{93}{40}}{\frac{7+2}{4}}$$

Tāpirihia te 7 ki te 2, ka 9.

$$\frac{-\frac{93}{40}}{\frac{9}{4}}$$

Whakawehe -\frac{93}{40} ki te \frac{9}{4} mā te whakarea -\frac{93}{40} ki te tau huripoki o \frac{9}{4}.

$$-\frac{93}{40}\times \frac{4}{9}$$

Me whakarea te -\frac{93}{40} ki te \frac{4}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-93\times 4}{40\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{-93\times 4}{40\times 9}.

$$\frac{-372}{360}$$

Whakahekea te hautanga \frac{-372}{360} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$-\frac{31}{30}$$

Tauwehe

$$-\frac{31}{30} = -1\frac{1}{30} = -1.0333333333333334$$