Whakaoti i te 4/21+3/7/frac{4{7}-5/14}=

$$\frac { \frac { 4 } { 21 } + \frac { 3 } { 7 } } { \frac { 4 } { 7 } - \frac { 5 } { 14 } } =$$

Aromātai

$$\frac{26}{9}\approx 2.888888889$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 21 me 7 ko 21. Me tahuri \frac{4}{21} me \frac{3}{7} ki te hautau me te tautūnga 21.

$$\frac{\frac{4}{21}+\frac{9}{21}}{\frac{4}{7}-\frac{5}{14}}$$

Tā te mea he rite te tauraro o \frac{4}{21} me \frac{9}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4+9}{21}}{\frac{4}{7}-\frac{5}{14}}$$

Tāpirihia te 4 ki te 9, ka 13.

$$\frac{\frac{13}{21}}{\frac{4}{7}-\frac{5}{14}}$$

Ko te maha noa iti rawa atu o 7 me 14 ko 14. Me tahuri \frac{4}{7} me \frac{5}{14} ki te hautau me te tautūnga 14.

$$\frac{\frac{13}{21}}{\frac{8}{14}-\frac{5}{14}}$$

Tā te mea he rite te tauraro o \frac{8}{14} me \frac{5}{14}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{13}{21}}{\frac{8-5}{14}}$$

Tangohia te 5 i te 8, ka 3.

$$\frac{\frac{13}{21}}{\frac{3}{14}}$$

Whakawehe \frac{13}{21} ki te \frac{3}{14} mā te whakarea \frac{13}{21} ki te tau huripoki o \frac{3}{14}.

$$\frac{13}{21}\times \frac{14}{3}$$

Me whakarea te \frac{13}{21} ki te \frac{14}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13\times 14}{21\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{13\times 14}{21\times 3}.

$$\frac{182}{63}$$

Whakahekea te hautanga \frac{182}{63} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{26}{9}$$

Tauwehe

$$\frac{2 \cdot 13}{3 ^ {2}} = 2\frac{8}{9} = 2.888888888888889$$