Whakaoti i te 2/5+3/10-1/20/2/3+1/9+5/6

$$\frac { 2 / 5 + 3 / 10 - 1 / 20 } { 2 / 3 + 1 / 9 + 5 / 6 }$$

Aromātai

$$\frac{117}{290}\approx 0.403448276$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 5 me 10 ko 10. Me tahuri \frac{2}{5} me \frac{3}{10} ki te hautau me te tautūnga 10.

$$\frac{\frac{4}{10}+\frac{3}{10}-\frac{1}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

Tā te mea he rite te tauraro o \frac{4}{10} me \frac{3}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4+3}{10}-\frac{1}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{\frac{7}{10}-\frac{1}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

Ko te maha noa iti rawa atu o 10 me 20 ko 20. Me tahuri \frac{7}{10} me \frac{1}{20} ki te hautau me te tautūnga 20.

$$\frac{\frac{14}{20}-\frac{1}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

Tā te mea he rite te tauraro o \frac{14}{20} me \frac{1}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{14-1}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

Tangohia te 1 i te 14, ka 13.

$$\frac{\frac{13}{20}}{\frac{2}{3}+\frac{1}{9}+\frac{5}{6}}$$

Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri \frac{2}{3} me \frac{1}{9} ki te hautau me te tautūnga 9.

$$\frac{\frac{13}{20}}{\frac{6}{9}+\frac{1}{9}+\frac{5}{6}}$$

Tā te mea he rite te tauraro o \frac{6}{9} me \frac{1}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{13}{20}}{\frac{6+1}{9}+\frac{5}{6}}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{\frac{13}{20}}{\frac{7}{9}+\frac{5}{6}}$$

Ko te maha noa iti rawa atu o 9 me 6 ko 18. Me tahuri \frac{7}{9} me \frac{5}{6} ki te hautau me te tautūnga 18.

$$\frac{\frac{13}{20}}{\frac{14}{18}+\frac{15}{18}}$$

Tā te mea he rite te tauraro o \frac{14}{18} me \frac{15}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{13}{20}}{\frac{14+15}{18}}$$

Tāpirihia te 14 ki te 15, ka 29.

$$\frac{\frac{13}{20}}{\frac{29}{18}}$$

Whakawehe \frac{13}{20} ki te \frac{29}{18} mā te whakarea \frac{13}{20} ki te tau huripoki o \frac{29}{18}.

$$\frac{13}{20}\times \frac{18}{29}$$

Me whakarea te \frac{13}{20} ki te \frac{18}{29} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13\times 18}{20\times 29}$$

Mahia ngā whakarea i roto i te hautanga \frac{13\times 18}{20\times 29}.

$$\frac{234}{580}$$

Whakahekea te hautanga \frac{234}{580} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{117}{290}$$

Tauwehe

$$\frac{3 ^ {2} \cdot 13}{2 \cdot 5 \cdot 29} = 0.40344827586206894$$