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

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

Aromātai

$$-\frac{22}{9}\approx -2.444444444$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{8}{4}.

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

Tā te mea he rite te tauraro o \frac{8}{4} me \frac{1}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 8 ki te 1, ka 9.

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

Whakawehe 4 ki te \frac{9}{4} mā te whakarea 4 ki te tau huripoki o \frac{9}{4}.

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

Tuhia te 4\times \frac{4}{9} hei hautanga kotahi.

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

Whakareatia te 4 ki te 4, ka 16.

$$3-|\frac{5}{3}+\frac{16}{9}+2|$$

Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri \frac{5}{3} me \frac{16}{9} ki te hautau me te tautūnga 9.

$$3-|\frac{15}{9}+\frac{16}{9}+2|$$

Tā te mea he rite te tauraro o \frac{15}{9} me \frac{16}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$3-|\frac{15+16}{9}+2|$$

Tāpirihia te 15 ki te 16, ka 31.

$$3-|\frac{31}{9}+2|$$

Me tahuri te 2 ki te hautau \frac{18}{9}.

$$3-|\frac{31}{9}+\frac{18}{9}|$$

Tā te mea he rite te tauraro o \frac{31}{9} me \frac{18}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$3-|\frac{31+18}{9}|$$

Tāpirihia te 31 ki te 18, ka 49.

$$3-|\frac{49}{9}|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o \frac{49}{9} ko \frac{49}{9}.

$$3-\frac{49}{9}$$

Me tahuri te 3 ki te hautau \frac{27}{9}.

$$\frac{27}{9}-\frac{49}{9}$$

Tā te mea he rite te tauraro o \frac{27}{9} me \frac{49}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{27-49}{9}$$

Tangohia te 49 i te 27, ka -22.

$$-\frac{22}{9}$$

Tauwehe

$$-\frac{22}{9} = -2\frac{4}{9} = -2.4444444444444446$$