Whakaoti i te (3/5+1/6)div(1/3+1/5)

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

Aromātai

$$\frac{23}{16}=1.4375$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 6 ko 30. Me tahuri \frac{3}{5} me \frac{1}{6} ki te hautau me te tautūnga 30.

$$\frac{\frac{18}{30}+\frac{5}{30}}{\frac{1}{3}+\frac{1}{5}}$$

Tā te mea he rite te tauraro o \frac{18}{30} me \frac{5}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{18+5}{30}}{\frac{1}{3}+\frac{1}{5}}$$

Tāpirihia te 18 ki te 5, ka 23.

$$\frac{\frac{23}{30}}{\frac{1}{3}+\frac{1}{5}}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{1}{3} me \frac{1}{5} ki te hautau me te tautūnga 15.

$$\frac{\frac{23}{30}}{\frac{5}{15}+\frac{3}{15}}$$

Tā te mea he rite te tauraro o \frac{5}{15} me \frac{3}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{23}{30}}{\frac{5+3}{15}}$$

Tāpirihia te 5 ki te 3, ka 8.

$$\frac{\frac{23}{30}}{\frac{8}{15}}$$

Whakawehe \frac{23}{30} ki te \frac{8}{15} mā te whakarea \frac{23}{30} ki te tau huripoki o \frac{8}{15}.

$$\frac{23}{30}\times \frac{15}{8}$$

Me whakarea te \frac{23}{30} ki te \frac{15}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{23\times 15}{30\times 8}$$

Mahia ngā whakarea i roto i te hautanga \frac{23\times 15}{30\times 8}.

$$\frac{345}{240}$$

Whakahekea te hautanga \frac{345}{240} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{23}{16}$$

Tauwehe

$$\frac{23}{2 ^ {4}} = 1\frac{7}{16} = 1.4375$$