Whakaoti i te {l}{12.5*5/18-5/14*5/18+8.3}{*5/18}

$$\left. \begin{array} { l } { 12.5 \times \frac { 5 } { 18 } - \frac { 5 } { 14 } \times \frac { 5 } { 18 } + 8.3 } \\ { \times \frac { 5 } { 18 } } \end{array} \right.$$

Aromātai

$$\frac{159}{28}\approx 5.678571429$$

Ngā Upane Otinga

Me tahuri ki tau ā-ira 12.5 ki te hautau \frac{125}{10}. Whakahekea te hautanga \frac{125}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{25}{2}\times \frac{5}{18}-\frac{5}{14}\times \frac{5}{18}+8.3\times \frac{5}{18}$$

Me whakarea te \frac{25}{2} ki te \frac{5}{18} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{25\times 5}{2\times 18}-\frac{5}{14}\times \frac{5}{18}+8.3\times \frac{5}{18}$$

Mahia ngā whakarea i roto i te hautanga \frac{25\times 5}{2\times 18}.

$$\frac{125}{36}-\frac{5}{14}\times \frac{5}{18}+8.3\times \frac{5}{18}$$

Me whakarea te \frac{5}{14} ki te \frac{5}{18} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{125}{36}-\frac{5\times 5}{14\times 18}+8.3\times \frac{5}{18}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 5}{14\times 18}.

$$\frac{125}{36}-\frac{25}{252}+8.3\times \frac{5}{18}$$

Ko te maha noa iti rawa atu o 36 me 252 ko 252. Me tahuri \frac{125}{36} me \frac{25}{252} ki te hautau me te tautūnga 252.

$$\frac{875}{252}-\frac{25}{252}+8.3\times \frac{5}{18}$$

Tā te mea he rite te tauraro o \frac{875}{252} me \frac{25}{252}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{875-25}{252}+8.3\times \frac{5}{18}$$

Tangohia te 25 i te 875, ka 850.

$$\frac{850}{252}+8.3\times \frac{5}{18}$$

Whakahekea te hautanga \frac{850}{252} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{425}{126}+8.3\times \frac{5}{18}$$

Me tahuri ki tau ā-ira 8.3 ki te hautau \frac{83}{10}.

$$\frac{425}{126}+\frac{83}{10}\times \frac{5}{18}$$

Me whakarea te \frac{83}{10} ki te \frac{5}{18} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{425}{126}+\frac{83\times 5}{10\times 18}$$

Mahia ngā whakarea i roto i te hautanga \frac{83\times 5}{10\times 18}.

$$\frac{425}{126}+\frac{415}{180}$$

Whakahekea te hautanga \frac{415}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{425}{126}+\frac{83}{36}$$

Ko te maha noa iti rawa atu o 126 me 36 ko 252. Me tahuri \frac{425}{126} me \frac{83}{36} ki te hautau me te tautūnga 252.

$$\frac{850}{252}+\frac{581}{252}$$

Tā te mea he rite te tauraro o \frac{850}{252} me \frac{581}{252}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{850+581}{252}$$

Tāpirihia te 850 ki te 581, ka 1431.

$$\frac{1431}{252}$$

Whakahekea te hautanga \frac{1431}{252} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{159}{28}$$

Tauwehe

$$\frac{3 \cdot 53}{7 \cdot 2 ^ {2}} = 5\frac{19}{28} = 5.678571428571429$$