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

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

Aromātai

$$-\frac{7}{150}\approx -0.046666667$$

Ngā Upane Otinga

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

$$\left(\frac{15}{20}-\frac{16}{20}\right)\left(\frac{1}{3}+\frac{3}{5}\right)$$

Tā te mea he rite te tauraro o \frac{15}{20} me \frac{16}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{15-16}{20}\left(\frac{1}{3}+\frac{3}{5}\right)$$

Tangohia te 16 i te 15, ka -1.

$$-\frac{1}{20}\left(\frac{1}{3}+\frac{3}{5}\right)$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{1}{3} me \frac{3}{5} ki te hautau me te tautūnga 15.

$$-\frac{1}{20}\left(\frac{5}{15}+\frac{9}{15}\right)$$

Tā te mea he rite te tauraro o \frac{5}{15} me \frac{9}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{1}{20}\times \frac{5+9}{15}$$

Tāpirihia te 5 ki te 9, ka 14.

$$-\frac{1}{20}\times \frac{14}{15}$$

Me whakarea te -\frac{1}{20} ki te \frac{14}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-14}{20\times 15}$$

Mahia ngā whakarea i roto i te hautanga \frac{-14}{20\times 15}.

$$\frac{-14}{300}$$

Whakahekea te hautanga \frac{-14}{300} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{7}{150}$$

Tauwehe

$$-\frac{7}{150} = -0.04666666666666667$$