Whakaoti i te 505+18*90/100-7/1110

$$505+ \frac{ \frac{ 18 \cdot 90 }{ 100 } -7 }{ 11 } 10$$

Aromātai

$$\frac{5647}{11}\approx 513.363636364$$

Ngā Upane Otinga

Whakareatia te 18 ki te 90, ka 1620.

$$505+\frac{\frac{1620}{100}-7}{11}\times 10$$

Whakahekea te hautanga \frac{1620}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$505+\frac{\frac{81}{5}-7}{11}\times 10$$

Me tahuri te 7 ki te hautau \frac{35}{5}.

$$505+\frac{\frac{81}{5}-\frac{35}{5}}{11}\times 10$$

Tā te mea he rite te tauraro o \frac{81}{5} me \frac{35}{5}, me tango rāua mā te tango i ō raua taurunga.

$$505+\frac{\frac{81-35}{5}}{11}\times 10$$

Tangohia te 35 i te 81, ka 46.

$$505+\frac{\frac{46}{5}}{11}\times 10$$

Tuhia te \frac{\frac{46}{5}}{11} hei hautanga kotahi.

$$505+\frac{46}{5\times 11}\times 10$$

Whakareatia te 5 ki te 11, ka 55.

$$505+\frac{46}{55}\times 10$$

Tuhia te \frac{46}{55}\times 10 hei hautanga kotahi.

$$505+\frac{46\times 10}{55}$$

Whakareatia te 46 ki te 10, ka 460.

$$505+\frac{460}{55}$$

Whakahekea te hautanga \frac{460}{55} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$505+\frac{92}{11}$$

Me tahuri te 505 ki te hautau \frac{5555}{11}.

$$\frac{5555}{11}+\frac{92}{11}$$

Tā te mea he rite te tauraro o \frac{5555}{11} me \frac{92}{11}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5555+92}{11}$$

Tāpirihia te 5555 ki te 92, ka 5647.

$$\frac{5647}{11}$$

Tauwehe

$$\frac{5647}{11} = 513\frac{4}{11} = 513.3636363636364$$