Whakaoti i te 8/9+1/5/frac{5{6}+1/2}

$$\frac { \frac { 8 } { 9 } + \frac { 1 } { 5 } } { \frac { 5 } { 6 } + \frac { 1 } { 2 } }$$

Aromātai

$$\frac{49}{60}\approx 0.816666667$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 9 me 5 ko 45. Me tahuri \frac{8}{9} me \frac{1}{5} ki te hautau me te tautūnga 45.

$$\frac{\frac{40}{45}+\frac{9}{45}}{\frac{5}{6}+\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{40}{45} me \frac{9}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{40+9}{45}}{\frac{5}{6}+\frac{1}{2}}$$

Tāpirihia te 40 ki te 9, ka 49.

$$\frac{\frac{49}{45}}{\frac{5}{6}+\frac{1}{2}}$$

Ko te maha noa iti rawa atu o 6 me 2 ko 6. Me tahuri \frac{5}{6} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\frac{\frac{49}{45}}{\frac{5}{6}+\frac{3}{6}}$$

Tā te mea he rite te tauraro o \frac{5}{6} me \frac{3}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{49}{45}}{\frac{5+3}{6}}$$

Tāpirihia te 5 ki te 3, ka 8.

$$\frac{\frac{49}{45}}{\frac{8}{6}}$$

Whakahekea te hautanga \frac{8}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{49}{45}}{\frac{4}{3}}$$

Whakawehe \frac{49}{45} ki te \frac{4}{3} mā te whakarea \frac{49}{45} ki te tau huripoki o \frac{4}{3}.

$$\frac{49}{45}\times \frac{3}{4}$$

Me whakarea te \frac{49}{45} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{49\times 3}{45\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{49\times 3}{45\times 4}.

$$\frac{147}{180}$$

Whakahekea te hautanga \frac{147}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{49}{60}$$

Tauwehe

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3 \cdot 5} = 0.8166666666666667$$