Whakaoti i te 1/2-1/3/frac{1{4}+1/5}=

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

Aromātai

$$\frac{10}{27}\approx 0.37037037$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{1}{3} ki te hautau me te tautūnga 6.

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

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{2}{6}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 2 i te 3, ka 1.

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

Ko te maha noa iti rawa atu o 4 me 5 ko 20. Me tahuri \frac{1}{4} me \frac{1}{5} ki te hautau me te tautūnga 20.

$$\frac{\frac{1}{6}}{\frac{5}{20}+\frac{4}{20}}$$

Tā te mea he rite te tauraro o \frac{5}{20} me \frac{4}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{1}{6}}{\frac{5+4}{20}}$$

Tāpirihia te 5 ki te 4, ka 9.

$$\frac{\frac{1}{6}}{\frac{9}{20}}$$

Whakawehe \frac{1}{6} ki te \frac{9}{20} mā te whakarea \frac{1}{6} ki te tau huripoki o \frac{9}{20}.

$$\frac{1}{6}\times \frac{20}{9}$$

Me whakarea te \frac{1}{6} ki te \frac{20}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 20}{6\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 20}{6\times 9}.

$$\frac{20}{54}$$

Whakahekea te hautanga \frac{20}{54} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{10}{27}$$

Tauwehe

$$\frac{2 \cdot 5}{3 ^ {3}} = 0.37037037037037035$$