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

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

Aromātai

$$\frac{33}{20}=1.65$$

Ngā Upane Otinga

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

$$\frac{5}{20}+\frac{16}{20}+\frac{\frac{2}{5}}{\frac{2}{3}}$$

Tā te mea he rite te tauraro o \frac{5}{20} me \frac{16}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+16}{20}+\frac{\frac{2}{5}}{\frac{2}{3}}$$

Tāpirihia te 5 ki te 16, ka 21.

$$\frac{21}{20}+\frac{\frac{2}{5}}{\frac{2}{3}}$$

Whakawehe \frac{2}{5} ki te \frac{2}{3} mā te whakarea \frac{2}{5} ki te tau huripoki o \frac{2}{3}.

$$\frac{21}{20}+\frac{2}{5}\times \frac{3}{2}$$

Me whakarea te \frac{2}{5} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{21}{20}+\frac{2\times 3}{5\times 2}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{21}{20}+\frac{3}{5}$$

Ko te maha noa iti rawa atu o 20 me 5 ko 20. Me tahuri \frac{21}{20} me \frac{3}{5} ki te hautau me te tautūnga 20.

$$\frac{21}{20}+\frac{12}{20}$$

Tā te mea he rite te tauraro o \frac{21}{20} me \frac{12}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{21+12}{20}$$

Tāpirihia te 21 ki te 12, ka 33.

$$\frac{33}{20}$$

Tauwehe

$$\frac{3 \cdot 11}{2 ^ {2} \cdot 5} = 1\frac{13}{20} = 1.65$$