Whakaoti i te (3/4+1/2):(5/3+1/6)

$$( \frac { 3 } { 4 } + \frac { 1 } { 2 } ) : ( \frac { 5 } { 3 } + \frac { 1 } { 6 } )$$

Aromātai

$$\frac{15}{22}\approx 0.681818182$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 2 ko 4. Me tahuri \frac{3}{4} me \frac{1}{2} ki te hautau me te tautūnga 4.

$$\frac{\frac{3}{4}+\frac{2}{4}}{\frac{5}{3}+\frac{1}{6}}$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{2}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{3+2}{4}}{\frac{5}{3}+\frac{1}{6}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{\frac{5}{4}}{\frac{5}{3}+\frac{1}{6}}$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{5}{3} me \frac{1}{6} ki te hautau me te tautūnga 6.

$$\frac{\frac{5}{4}}{\frac{10}{6}+\frac{1}{6}}$$

Tā te mea he rite te tauraro o \frac{10}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5}{4}}{\frac{10+1}{6}}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{\frac{5}{4}}{\frac{11}{6}}$$

Whakawehe \frac{5}{4} ki te \frac{11}{6} mā te whakarea \frac{5}{4} ki te tau huripoki o \frac{11}{6}.

$$\frac{5}{4}\times \frac{6}{11}$$

Me whakarea te \frac{5}{4} ki te \frac{6}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 6}{4\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 6}{4\times 11}.

$$\frac{30}{44}$$

Whakahekea te hautanga \frac{30}{44} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{15}{22}$$

Tauwehe

$$\frac{3 \cdot 5}{2 \cdot 11} = 0.6818181818181818$$