Whakaoti i te (1/2+2/5)div(3/4-1/5)

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

Aromātai

$$\frac{18}{11}\approx 1.636363636$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 5 ko 10. Me tahuri \frac{1}{2} me \frac{2}{5} ki te hautau me te tautūnga 10.

$$\frac{\frac{5}{10}+\frac{4}{10}}{\frac{3}{4}-\frac{1}{5}}$$

Tā te mea he rite te tauraro o \frac{5}{10} me \frac{4}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5+4}{10}}{\frac{3}{4}-\frac{1}{5}}$$

Tāpirihia te 5 ki te 4, ka 9.

$$\frac{\frac{9}{10}}{\frac{3}{4}-\frac{1}{5}}$$

Ko te maha noa iti rawa atu o 4 me 5 ko 20. Me tahuri \frac{3}{4} me \frac{1}{5} ki te hautau me te tautūnga 20.

$$\frac{\frac{9}{10}}{\frac{15}{20}-\frac{4}{20}}$$

Tā te mea he rite te tauraro o \frac{15}{20} me \frac{4}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{9}{10}}{\frac{15-4}{20}}$$

Tangohia te 4 i te 15, ka 11.

$$\frac{\frac{9}{10}}{\frac{11}{20}}$$

Whakawehe \frac{9}{10} ki te \frac{11}{20} mā te whakarea \frac{9}{10} ki te tau huripoki o \frac{11}{20}.

$$\frac{9}{10}\times \frac{20}{11}$$

Me whakarea te \frac{9}{10} ki te \frac{20}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9\times 20}{10\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{9\times 20}{10\times 11}.

$$\frac{180}{110}$$

Whakahekea te hautanga \frac{180}{110} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{18}{11}$$

Tauwehe

$$\frac{2 \cdot 3 ^ {2}}{11} = 1\frac{7}{11} = 1.6363636363636365$$