Whakaoti i te (9/8*20/2-8/10)+3/12=frac{107}{10}

$$( \frac { 9 } { 8 } * \frac { 20 } { 2 } - \frac { 8 } { 10 } ) + \frac { 3 } { 12 } = \frac { 107 } { 10 }$$

Manatoko

Ngā Upane Otinga

Whakawehea te 20 ki te 2, kia riro ko 10.

$$\frac{9}{8}\times 10-\frac{8}{10}+\frac{3}{12}=\frac{107}{10}$$

Tuhia te \frac{9}{8}\times 10 hei hautanga kotahi.

$$\frac{9\times 10}{8}-\frac{8}{10}+\frac{3}{12}=\frac{107}{10}$$

Whakareatia te 9 ki te 10, ka 90.

$$\frac{90}{8}-\frac{8}{10}+\frac{3}{12}=\frac{107}{10}$$

Whakahekea te hautanga \frac{90}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{45}{4}-\frac{8}{10}+\frac{3}{12}=\frac{107}{10}$$

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

$$\frac{45}{4}-\frac{4}{5}+\frac{3}{12}=\frac{107}{10}$$

Ko te maha noa iti rawa atu o 4 me 5 ko 20. Me tahuri \frac{45}{4} me \frac{4}{5} ki te hautau me te tautūnga 20.

$$\frac{225}{20}-\frac{16}{20}+\frac{3}{12}=\frac{107}{10}$$

Tā te mea he rite te tauraro o \frac{225}{20} me \frac{16}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{225-16}{20}+\frac{3}{12}=\frac{107}{10}$$

Tangohia te 16 i te 225, ka 209.

$$\frac{209}{20}+\frac{3}{12}=\frac{107}{10}$$

Whakahekea te hautanga \frac{3}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{209}{20}+\frac{1}{4}=\frac{107}{10}$$

Ko te maha noa iti rawa atu o 20 me 4 ko 20. Me tahuri \frac{209}{20} me \frac{1}{4} ki te hautau me te tautūnga 20.

$$\frac{209}{20}+\frac{5}{20}=\frac{107}{10}$$

Tā te mea he rite te tauraro o \frac{209}{20} me \frac{5}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{209+5}{20}=\frac{107}{10}$$

Tāpirihia te 209 ki te 5, ka 214.

$$\frac{214}{20}=\frac{107}{10}$$

Whakahekea te hautanga \frac{214}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{107}{10}=\frac{107}{10}$$

Whakatauritea te \frac{107}{10} me te \frac{107}{10}.

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