Whakaoti i te 6/10+(2/9+15/90-25/90):frac{3}{9}

$$\frac { 6 } { 10 } + ( \frac { 2 } { 9 } + \frac { 15 } { 90 } - \frac { 25 } { 90 } ) : \frac { 3 } { 9 }$$

Aromātai

$$\frac{14}{15}\approx 0.933333333$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{6}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{3}{5}+\frac{\frac{2}{9}+\frac{15}{90}-\frac{25}{90}}{\frac{3}{9}}$$

Whakahekea te hautanga \frac{15}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{3}{5}+\frac{\frac{2}{9}+\frac{1}{6}-\frac{25}{90}}{\frac{3}{9}}$$

Ko te maha noa iti rawa atu o 9 me 6 ko 18. Me tahuri \frac{2}{9} me \frac{1}{6} ki te hautau me te tautūnga 18.

$$\frac{3}{5}+\frac{\frac{4}{18}+\frac{3}{18}-\frac{25}{90}}{\frac{3}{9}}$$

Tā te mea he rite te tauraro o \frac{4}{18} me \frac{3}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3}{5}+\frac{\frac{4+3}{18}-\frac{25}{90}}{\frac{3}{9}}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{3}{5}+\frac{\frac{7}{18}-\frac{25}{90}}{\frac{3}{9}}$$

Whakahekea te hautanga \frac{25}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{3}{5}+\frac{\frac{7}{18}-\frac{5}{18}}{\frac{3}{9}}$$

Tā te mea he rite te tauraro o \frac{7}{18} me \frac{5}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3}{5}+\frac{\frac{7-5}{18}}{\frac{3}{9}}$$

Tangohia te 5 i te 7, ka 2.

$$\frac{3}{5}+\frac{\frac{2}{18}}{\frac{3}{9}}$$

Whakahekea te hautanga \frac{2}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{3}{5}+\frac{\frac{1}{9}}{\frac{3}{9}}$$

Whakahekea te hautanga \frac{3}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{5}+\frac{\frac{1}{9}}{\frac{1}{3}}$$

Whakawehe \frac{1}{9} ki te \frac{1}{3} mā te whakarea \frac{1}{9} ki te tau huripoki o \frac{1}{3}.

$$\frac{3}{5}+\frac{1}{9}\times 3$$

Whakareatia te \frac{1}{9} ki te 3, ka \frac{3}{9}.

$$\frac{3}{5}+\frac{3}{9}$$

Whakahekea te hautanga \frac{3}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{5}+\frac{1}{3}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{3}{5} me \frac{1}{3} ki te hautau me te tautūnga 15.

$$\frac{9}{15}+\frac{5}{15}$$

Tā te mea he rite te tauraro o \frac{9}{15} me \frac{5}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9+5}{15}$$

Tāpirihia te 9 ki te 5, ka 14.

$$\frac{14}{15}$$

Tauwehe

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$