Whakaoti i te 6/10+(2/9+15/99-25/90):frac{3}{9}=

$$\frac { 6 } { 10 } + ( \frac { 2 } { 9 } + \frac { 15 } { 99 } - \frac { 25 } { 90 } ) : \frac { 3 } { 9 } =$$

Aromātai

$$\frac{293}{330}\approx 0.887878788$$

Ngā Upane Otinga

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

$$\frac{3}{5}+\frac{\frac{2}{9}+\frac{15}{99}-\frac{25}{90}}{\frac{3}{9}}$$

Whakahekea te hautanga \frac{15}{99} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{5}+\frac{\frac{2}{9}+\frac{5}{33}-\frac{25}{90}}{\frac{3}{9}}$$

Ko te maha noa iti rawa atu o 9 me 33 ko 99. Me tahuri \frac{2}{9} me \frac{5}{33} ki te hautau me te tautūnga 99.

$$\frac{3}{5}+\frac{\frac{22}{99}+\frac{15}{99}-\frac{25}{90}}{\frac{3}{9}}$$

Tā te mea he rite te tauraro o \frac{22}{99} me \frac{15}{99}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3}{5}+\frac{\frac{22+15}{99}-\frac{25}{90}}{\frac{3}{9}}$$

Tāpirihia te 22 ki te 15, ka 37.

$$\frac{3}{5}+\frac{\frac{37}{99}-\frac{25}{90}}{\frac{3}{9}}$$

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

$$\frac{3}{5}+\frac{\frac{37}{99}-\frac{5}{18}}{\frac{3}{9}}$$

Ko te maha noa iti rawa atu o 99 me 18 ko 198. Me tahuri \frac{37}{99} me \frac{5}{18} ki te hautau me te tautūnga 198.

$$\frac{3}{5}+\frac{\frac{74}{198}-\frac{55}{198}}{\frac{3}{9}}$$

Tā te mea he rite te tauraro o \frac{74}{198} me \frac{55}{198}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3}{5}+\frac{\frac{74-55}{198}}{\frac{3}{9}}$$

Tangohia te 55 i te 74, ka 19.

$$\frac{3}{5}+\frac{\frac{19}{198}}{\frac{3}{9}}$$

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

$$\frac{3}{5}+\frac{\frac{19}{198}}{\frac{1}{3}}$$

Whakawehe \frac{19}{198} ki te \frac{1}{3} mā te whakarea \frac{19}{198} ki te tau huripoki o \frac{1}{3}.

$$\frac{3}{5}+\frac{19}{198}\times 3$$

Tuhia te \frac{19}{198}\times 3 hei hautanga kotahi.

$$\frac{3}{5}+\frac{19\times 3}{198}$$

Whakareatia te 19 ki te 3, ka 57.

$$\frac{3}{5}+\frac{57}{198}$$

Whakahekea te hautanga \frac{57}{198} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{5}+\frac{19}{66}$$

Ko te maha noa iti rawa atu o 5 me 66 ko 330. Me tahuri \frac{3}{5} me \frac{19}{66} ki te hautau me te tautūnga 330.

$$\frac{198}{330}+\frac{95}{330}$$

Tā te mea he rite te tauraro o \frac{198}{330} me \frac{95}{330}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{198+95}{330}$$

Tāpirihia te 198 ki te 95, ka 293.

$$\frac{293}{330}$$

Tauwehe

$$\frac{293}{2 \cdot 3 \cdot 5 \cdot 11} = 0.8878787878787879$$