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

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

Aromātai

$$\frac{73}{30}\approx 2.433333333$$

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}.

$$\frac{1}{3}\times \frac{3}{2}+\frac{2}{1.5}+\frac{3}{5}$$

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

$$\frac{1\times 3}{3\times 2}+\frac{2}{1.5}+\frac{3}{5}$$

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

$$\frac{1}{2}+\frac{2}{1.5}+\frac{3}{5}$$

Whakarohaina te \frac{2}{1.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{1}{2}+\frac{20}{15}+\frac{3}{5}$$

Whakahekea te hautanga \frac{20}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{1}{2}+\frac{4}{3}+\frac{3}{5}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{4}{3} ki te hautau me te tautūnga 6.

$$\frac{3}{6}+\frac{8}{6}+\frac{3}{5}$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{8}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+8}{6}+\frac{3}{5}$$

Tāpirihia te 3 ki te 8, ka 11.

$$\frac{11}{6}+\frac{3}{5}$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri \frac{11}{6} me \frac{3}{5} ki te hautau me te tautūnga 30.

$$\frac{55}{30}+\frac{18}{30}$$

Tā te mea he rite te tauraro o \frac{55}{30} me \frac{18}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{55+18}{30}$$

Tāpirihia te 55 ki te 18, ka 73.

$$\frac{73}{30}$$

Tauwehe

$$\frac{73}{2 \cdot 3 \cdot 5} = 2\frac{13}{30} = 2.433333333333333$$