Whakaoti i te 100/frac{30{5}+10/8+60/50}

$$\frac { 100 } { \frac { 30 } { 5 } + \frac { 10 } { 8 } + \frac { 60 } { 50 } }$$

Aromātai

$$\frac{2000}{169}\approx 11.834319527$$

Ngā Upane Otinga

Whakawehea te 30 ki te 5, kia riro ko 6.

$$\frac{100}{6+\frac{10}{8}+\frac{60}{50}}$$

Whakahekea te hautanga \frac{10}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{100}{6+\frac{5}{4}+\frac{60}{50}}$$

Me tahuri te 6 ki te hautau \frac{24}{4}.

$$\frac{100}{\frac{24}{4}+\frac{5}{4}+\frac{60}{50}}$$

Tā te mea he rite te tauraro o \frac{24}{4} me \frac{5}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{100}{\frac{24+5}{4}+\frac{60}{50}}$$

Tāpirihia te 24 ki te 5, ka 29.

$$\frac{100}{\frac{29}{4}+\frac{60}{50}}$$

Whakahekea te hautanga \frac{60}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{100}{\frac{29}{4}+\frac{6}{5}}$$

Ko te maha noa iti rawa atu o 4 me 5 ko 20. Me tahuri \frac{29}{4} me \frac{6}{5} ki te hautau me te tautūnga 20.

$$\frac{100}{\frac{145}{20}+\frac{24}{20}}$$

Tā te mea he rite te tauraro o \frac{145}{20} me \frac{24}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{100}{\frac{145+24}{20}}$$

Tāpirihia te 145 ki te 24, ka 169.

$$\frac{100}{\frac{169}{20}}$$

Whakawehe 100 ki te \frac{169}{20} mā te whakarea 100 ki te tau huripoki o \frac{169}{20}.

$$100\times \frac{20}{169}$$

Tuhia te 100\times \frac{20}{169} hei hautanga kotahi.

$$\frac{100\times 20}{169}$$

Whakareatia te 100 ki te 20, ka 2000.

$$\frac{2000}{169}$$

Tauwehe

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{13 ^ {2}} = 11\frac{141}{169} = 11.834319526627219$$