Whakaoti i te 41/2-32/3+1/4/2-1/5

$$\frac { 4 \frac { 1 } { 2 } - 3 \frac { 2 } { 3 } + 1 / 4 } { 2 - 1 / 5 }$$

Aromātai

$$\frac{65}{108}\approx 0.601851852$$

Ngā Upane Otinga

Whakareatia te 4 ki te 2, ka 8.

$$\frac{\frac{8+1}{2}-\frac{3\times 3+2}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{\frac{9}{2}-\frac{3\times 3+2}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

Whakareatia te 3 ki te 3, ka 9.

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

Tāpirihia te 9 ki te 2, ka 11.

$$\frac{\frac{9}{2}-\frac{11}{3}+\frac{1}{4}}{2-\frac{1}{5}}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{9}{2} me \frac{11}{3} ki te hautau me te tautūnga 6.

$$\frac{\frac{27}{6}-\frac{22}{6}+\frac{1}{4}}{2-\frac{1}{5}}$$

Tā te mea he rite te tauraro o \frac{27}{6} me \frac{22}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{27-22}{6}+\frac{1}{4}}{2-\frac{1}{5}}$$

Tangohia te 22 i te 27, ka 5.

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

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{5}{6} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$\frac{\frac{10}{12}+\frac{3}{12}}{2-\frac{1}{5}}$$

Tā te mea he rite te tauraro o \frac{10}{12} me \frac{3}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{10+3}{12}}{2-\frac{1}{5}}$$

Tāpirihia te 10 ki te 3, ka 13.

$$\frac{\frac{13}{12}}{2-\frac{1}{5}}$$

Me tahuri te 2 ki te hautau \frac{10}{5}.

$$\frac{\frac{13}{12}}{\frac{10}{5}-\frac{1}{5}}$$

Tā te mea he rite te tauraro o \frac{10}{5} me \frac{1}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{13}{12}}{\frac{10-1}{5}}$$

Tangohia te 1 i te 10, ka 9.

$$\frac{\frac{13}{12}}{\frac{9}{5}}$$

Whakawehe \frac{13}{12} ki te \frac{9}{5} mā te whakarea \frac{13}{12} ki te tau huripoki o \frac{9}{5}.

$$\frac{13}{12}\times \frac{5}{9}$$

Me whakarea te \frac{13}{12} ki te \frac{5}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13\times 5}{12\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{13\times 5}{12\times 9}.

$$\frac{65}{108}$$

Tauwehe

$$\frac{5 \cdot 13}{2 ^ {2} \cdot 3 ^ {3}} = 0.6018518518518519$$