Whakaoti i te 3+(5-1/2)div(5/26div5/13)

$$3 + ( 5 - \frac { 1 } { 2 } ) \div ( \frac { 5 } { 26 } \div \frac { 5 } { 13 } )$$

Aromātai

$$12$$

Ngā Upane Otinga

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

$$3+\frac{\frac{10}{2}-\frac{1}{2}}{\frac{\frac{5}{26}}{\frac{5}{13}}}$$

Tā te mea he rite te tauraro o \frac{10}{2} me \frac{1}{2}, me tango rāua mā te tango i ō raua taurunga.

$$3+\frac{\frac{10-1}{2}}{\frac{\frac{5}{26}}{\frac{5}{13}}}$$

Tangohia te 1 i te 10, ka 9.

$$3+\frac{\frac{9}{2}}{\frac{\frac{5}{26}}{\frac{5}{13}}}$$

Whakawehe \frac{5}{26} ki te \frac{5}{13} mā te whakarea \frac{5}{26} ki te tau huripoki o \frac{5}{13}.

$$3+\frac{\frac{9}{2}}{\frac{5}{26}\times \frac{13}{5}}$$

Me whakarea te \frac{5}{26} ki te \frac{13}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$3+\frac{\frac{9}{2}}{\frac{5\times 13}{26\times 5}}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$3+\frac{\frac{9}{2}}{\frac{13}{26}}$$

Whakahekea te hautanga \frac{13}{26} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 13.

$$3+\frac{\frac{9}{2}}{\frac{1}{2}}$$

Whakawehe \frac{9}{2} ki te \frac{1}{2} mā te whakarea \frac{9}{2} ki te tau huripoki o \frac{1}{2}.

$$3+\frac{9}{2}\times 2$$

Me whakakore te 2 me te 2.

$$3+9$$

Tāpirihia te 3 ki te 9, ka 12.

$$12$$

Tauwehe

$$2^{2}\times 3$$