Whakaoti i te 1/5+999*499/495*99/4

$$\frac { \frac { 1 } { 5 } + 999 \cdot \frac { 499 } { 495 } \cdot 99 } { 4 }$$

Aromātai

$$\frac{249251}{10}=24925.1$$

Ngā Upane Otinga

Tuhia te 999\times \frac{499}{495} hei hautanga kotahi.

$$\frac{\frac{1}{5}+\frac{999\times 499}{495}\times 99}{4}$$

Whakareatia te 999 ki te 499, ka 498501.

$$\frac{\frac{1}{5}+\frac{498501}{495}\times 99}{4}$$

Whakahekea te hautanga \frac{498501}{495} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{\frac{1}{5}+\frac{55389}{55}\times 99}{4}$$

Tuhia te \frac{55389}{55}\times 99 hei hautanga kotahi.

$$\frac{\frac{1}{5}+\frac{55389\times 99}{55}}{4}$$

Whakareatia te 55389 ki te 99, ka 5483511.

$$\frac{\frac{1}{5}+\frac{5483511}{55}}{4}$$

Whakahekea te hautanga \frac{5483511}{55} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$\frac{\frac{1}{5}+\frac{498501}{5}}{4}$$

Tā te mea he rite te tauraro o \frac{1}{5} me \frac{498501}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{1+498501}{5}}{4}$$

Tāpirihia te 1 ki te 498501, ka 498502.

$$\frac{\frac{498502}{5}}{4}$$

Tuhia te \frac{\frac{498502}{5}}{4} hei hautanga kotahi.

$$\frac{498502}{5\times 4}$$

Whakareatia te 5 ki te 4, ka 20.

$$\frac{498502}{20}$$

Whakahekea te hautanga \frac{498502}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{249251}{10}$$

Tauwehe

$$\frac{23 \cdot 10837}{2 \cdot 5} = 24925\frac{1}{10} = 24925.1$$