Whakaoti i te (2/5+3/4-1/6)div2/3

$$( \frac { 2 } { 5 } + \frac { 3 } { 4 } - \frac { 1 } { 6 } ) \div \frac { 2 } { 3 }$$

Aromātai

$$\frac{59}{40}=1.475$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{2}{5} me \frac{3}{4} ki te hautau me te tautūnga 20.

$$\frac{\frac{8}{20}+\frac{15}{20}-\frac{1}{6}}{\frac{2}{3}}$$

Tā te mea he rite te tauraro o \frac{8}{20} me \frac{15}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{8+15}{20}-\frac{1}{6}}{\frac{2}{3}}$$

Tāpirihia te 8 ki te 15, ka 23.

$$\frac{\frac{23}{20}-\frac{1}{6}}{\frac{2}{3}}$$

Ko te maha noa iti rawa atu o 20 me 6 ko 60. Me tahuri \frac{23}{20} me \frac{1}{6} ki te hautau me te tautūnga 60.

$$\frac{\frac{69}{60}-\frac{10}{60}}{\frac{2}{3}}$$

Tā te mea he rite te tauraro o \frac{69}{60} me \frac{10}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{69-10}{60}}{\frac{2}{3}}$$

Tangohia te 10 i te 69, ka 59.

$$\frac{\frac{59}{60}}{\frac{2}{3}}$$

Whakawehe \frac{59}{60} ki te \frac{2}{3} mā te whakarea \frac{59}{60} ki te tau huripoki o \frac{2}{3}.

$$\frac{59}{60}\times \frac{3}{2}$$

Me whakarea te \frac{59}{60} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{59\times 3}{60\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{59\times 3}{60\times 2}.

$$\frac{177}{120}$$

Whakahekea te hautanga \frac{177}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{59}{40}$$

Tauwehe

$$\frac{59}{2 ^ {3} \cdot 5} = 1\frac{19}{40} = 1.475$$