Whakaoti i te 1/3/frac{2{3}}+2/15+3/5

$$\frac { \frac { 1 } { 3 } } { \frac { 2 } { 3 } } + \frac { 2 } { 15 } + \frac { 3 } { 5 }$$

Aromātai

$$\frac{37}{30}\approx 1.233333333$$

Ngā Upane Otinga

Whakawehe \frac{1}{3} ki te \frac{2}{3} mā te whakarea \frac{1}{3} ki te tau huripoki o \frac{2}{3}.

$$\frac{1}{3}\times \frac{3}{2}+\frac{2}{15}+\frac{3}{5}$$

Me whakarea te \frac{1}{3} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 3}{3\times 2}+\frac{2}{15}+\frac{3}{5}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{1}{2}+\frac{2}{15}+\frac{3}{5}$$

Ko te maha noa iti rawa atu o 2 me 15 ko 30. Me tahuri \frac{1}{2} me \frac{2}{15} ki te hautau me te tautūnga 30.

$$\frac{15}{30}+\frac{4}{30}+\frac{3}{5}$$

Tā te mea he rite te tauraro o \frac{15}{30} me \frac{4}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{15+4}{30}+\frac{3}{5}$$

Tāpirihia te 15 ki te 4, ka 19.

$$\frac{19}{30}+\frac{3}{5}$$

Ko te maha noa iti rawa atu o 30 me 5 ko 30. Me tahuri \frac{19}{30} me \frac{3}{5} ki te hautau me te tautūnga 30.

$$\frac{19}{30}+\frac{18}{30}$$

Tā te mea he rite te tauraro o \frac{19}{30} me \frac{18}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{19+18}{30}$$

Tāpirihia te 19 ki te 18, ka 37.

$$\frac{37}{30}$$

Tauwehe

$$\frac{37}{2 \cdot 3 \cdot 5} = 1\frac{7}{30} = 1.2333333333333334$$