Whakaoti i te [194/900-244/99]*(3/7-(-5/2))

$$[ \frac { 194 } { 900 } - \frac { 244 } { 99 } ] \cdot ( \frac { 3 } { 7 } - ( - \frac { 5 } { 2 } ) )$$

Aromātai

$$-\frac{50717}{7700}\approx -6.586623377$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{194}{900} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\left(\frac{97}{450}-\frac{244}{99}\right)\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

Ko te maha noa iti rawa atu o 450 me 99 ko 4950. Me tahuri \frac{97}{450} me \frac{244}{99} ki te hautau me te tautūnga 4950.

$$\left(\frac{1067}{4950}-\frac{12200}{4950}\right)\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

Tā te mea he rite te tauraro o \frac{1067}{4950} me \frac{12200}{4950}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1067-12200}{4950}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

Tangohia te 12200 i te 1067, ka -11133.

$$\frac{-11133}{4950}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

Whakahekea te hautanga \frac{-11133}{4950} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$-\frac{1237}{550}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

Ko te tauaro o -\frac{5}{2} ko \frac{5}{2}.

$$-\frac{1237}{550}\left(\frac{3}{7}+\frac{5}{2}\right)$$

Ko te maha noa iti rawa atu o 7 me 2 ko 14. Me tahuri \frac{3}{7} me \frac{5}{2} ki te hautau me te tautūnga 14.

$$-\frac{1237}{550}\left(\frac{6}{14}+\frac{35}{14}\right)$$

Tā te mea he rite te tauraro o \frac{6}{14} me \frac{35}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{1237}{550}\times \frac{6+35}{14}$$

Tāpirihia te 6 ki te 35, ka 41.

$$-\frac{1237}{550}\times \frac{41}{14}$$

Me whakarea te -\frac{1237}{550} ki te \frac{41}{14} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-1237\times 41}{550\times 14}$$

Mahia ngā whakarea i roto i te hautanga \frac{-1237\times 41}{550\times 14}.

$$\frac{-50717}{7700}$$

Ka taea te hautanga \frac{-50717}{7700} te tuhi anō ko -\frac{50717}{7700} mā te tango i te tohu tōraro.

$$-\frac{50717}{7700}$$

Tauwehe

$$-\frac{50717}{7700} = -6\frac{4517}{7700} = -6.586623376623376$$