Whakaoti i te 2/5+3/10/frac{6{7}-1/14}=

$$\frac { \frac { 2 } { 5 } + \frac { 3 } { 10 } } { \frac { 6 } { 7 } - \frac { 1 } { 14 } } =$$

Aromātai

$$\frac{49}{55}\approx 0.890909091$$

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.

$$\frac{\frac{4}{10}+\frac{3}{10}}{\frac{6}{7}-\frac{1}{14}}$$

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.

$$\frac{\frac{4+3}{10}}{\frac{6}{7}-\frac{1}{14}}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{\frac{7}{10}}{\frac{6}{7}-\frac{1}{14}}$$

Ko te maha noa iti rawa atu o 7 me 14 ko 14. Me tahuri \frac{6}{7} me \frac{1}{14} ki te hautau me te tautūnga 14.

$$\frac{\frac{7}{10}}{\frac{12}{14}-\frac{1}{14}}$$

Tā te mea he rite te tauraro o \frac{12}{14} me \frac{1}{14}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{7}{10}}{\frac{12-1}{14}}$$

Tangohia te 1 i te 12, ka 11.

$$\frac{\frac{7}{10}}{\frac{11}{14}}$$

Whakawehe \frac{7}{10} ki te \frac{11}{14} mā te whakarea \frac{7}{10} ki te tau huripoki o \frac{11}{14}.

$$\frac{7}{10}\times \frac{14}{11}$$

Me whakarea te \frac{7}{10} ki te \frac{14}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\times 14}{10\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 14}{10\times 11}.

$$\frac{98}{110}$$

Whakahekea te hautanga \frac{98}{110} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{49}{55}$$

Tauwehe

$$\frac{7 ^ {2}}{5 \cdot 11} = 0.8909090909090909$$