Whakaoti i te 91/frac{1{24}+1/56}

$$9 \frac { 1 } { \frac { 1 } { 24 } + \frac { 1 } { 56 } }$$

Aromātai

$$\frac{756}{5}=151.2$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 24 me 56 ko 168. Me tahuri \frac{1}{24} me \frac{1}{56} ki te hautau me te tautūnga 168.

$$9\times \frac{1}{\frac{7}{168}+\frac{3}{168}}$$

Tā te mea he rite te tauraro o \frac{7}{168} me \frac{3}{168}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$9\times \frac{1}{\frac{7+3}{168}}$$

Tāpirihia te 7 ki te 3, ka 10.

$$9\times \frac{1}{\frac{10}{168}}$$

Whakahekea te hautanga \frac{10}{168} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$9\times \frac{1}{\frac{5}{84}}$$

Whakawehe 1 ki te \frac{5}{84} mā te whakarea 1 ki te tau huripoki o \frac{5}{84}.

$$9\times 1\times \frac{84}{5}$$

Whakareatia te 1 ki te \frac{84}{5}, ka \frac{84}{5}.

$$9\times \frac{84}{5}$$

Tuhia te 9\times \frac{84}{5} hei hautanga kotahi.

$$\frac{9\times 84}{5}$$

Whakareatia te 9 ki te 84, ka 756.

$$\frac{756}{5}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 7}{5} = 151\frac{1}{5} = 151.2$$