Whakaoti i te 1/4+4/5/frac{1{8}+1/2}

$$\frac { \frac { 1 } { 4 } + \frac { 4 } { 5 } } { \frac { 1 } { 8 } + \frac { 1 } { 2 } }$$

Aromātai

$$\frac{42}{25}=1.68$$

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.

$$\frac{\frac{5}{20}+\frac{16}{20}}{\frac{1}{8}+\frac{1}{2}}$$

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.

$$\frac{\frac{5+16}{20}}{\frac{1}{8}+\frac{1}{2}}$$

Tāpirihia te 5 ki te 16, ka 21.

$$\frac{\frac{21}{20}}{\frac{1}{8}+\frac{1}{2}}$$

Ko te maha noa iti rawa atu o 8 me 2 ko 8. Me tahuri \frac{1}{8} me \frac{1}{2} ki te hautau me te tautūnga 8.

$$\frac{\frac{21}{20}}{\frac{1}{8}+\frac{4}{8}}$$

Tā te mea he rite te tauraro o \frac{1}{8} me \frac{4}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{21}{20}}{\frac{1+4}{8}}$$

Tāpirihia te 1 ki te 4, ka 5.

$$\frac{\frac{21}{20}}{\frac{5}{8}}$$

Whakawehe \frac{21}{20} ki te \frac{5}{8} mā te whakarea \frac{21}{20} ki te tau huripoki o \frac{5}{8}.

$$\frac{21}{20}\times \frac{8}{5}$$

Me whakarea te \frac{21}{20} ki te \frac{8}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{21\times 8}{20\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{21\times 8}{20\times 5}.

$$\frac{168}{100}$$

Whakahekea te hautanga \frac{168}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{42}{25}$$

Tauwehe

$$\frac{2 \cdot 3 \cdot 7}{5 ^ {2}} = 1\frac{17}{25} = 1.68$$