Whakaoti i te (a/b+2a/3b)div(3x/8divx/9+frac{1}{4})

$$( \frac { a } { b } + \frac { 2 a } { 3 b } ) \div ( \frac { 3 x } { 8 } \div \frac { x } { 9 } + \frac { 1 } { 4 } )$$

Aromātai

$$\frac{40a}{87b}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o b me 3b ko 3b. Whakareatia \frac{a}{b} ki te \frac{3}{3}.

$$\frac{\frac{3a}{3b}+\frac{2a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

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

$$\frac{\frac{3a+2a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Whakakotahitia ngā kupu rite i 3a+2a.

$$\frac{\frac{5a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Whakawehe \frac{3x}{8} ki te \frac{x}{9} mā te whakarea \frac{3x}{8} ki te tau huripoki o \frac{x}{9}.

$$\frac{\frac{5a}{3b}}{\frac{3x\times 9}{8x}+\frac{1}{4}}$$

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

$$\frac{\frac{5a}{3b}}{\frac{3\times 9}{8}+\frac{1}{4}}$$

Whakareatia te 3 ki te 9, ka 27.

$$\frac{\frac{5a}{3b}}{\frac{27}{8}+\frac{1}{4}}$$

Ko te maha noa iti rawa atu o 8 me 4 ko 8. Me tahuri \frac{27}{8} me \frac{1}{4} ki te hautau me te tautūnga 8.

$$\frac{\frac{5a}{3b}}{\frac{27}{8}+\frac{2}{8}}$$

Tā te mea he rite te tauraro o \frac{27}{8} me \frac{2}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5a}{3b}}{\frac{27+2}{8}}$$

Tāpirihia te 27 ki te 2, ka 29.

$$\frac{\frac{5a}{3b}}{\frac{29}{8}}$$

Whakawehe \frac{5a}{3b} ki te \frac{29}{8} mā te whakarea \frac{5a}{3b} ki te tau huripoki o \frac{29}{8}.

$$\frac{5a\times 8}{3b\times 29}$$

Whakareatia te 5 ki te 8, ka 40.

$$\frac{40a}{3b\times 29}$$

Whakareatia te 3 ki te 29, ka 87.

$$\frac{40a}{87b}$$

Whakaroha

$$\frac{40a}{87b}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o b me 3b ko 3b. Whakareatia \frac{a}{b} ki te \frac{3}{3}.

$$\frac{\frac{3a}{3b}+\frac{2a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

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

$$\frac{\frac{3a+2a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Whakakotahitia ngā kupu rite i 3a+2a.

$$\frac{\frac{5a}{3b}}{\frac{\frac{3x}{8}}{\frac{x}{9}}+\frac{1}{4}}$$

Whakawehe \frac{3x}{8} ki te \frac{x}{9} mā te whakarea \frac{3x}{8} ki te tau huripoki o \frac{x}{9}.

$$\frac{\frac{5a}{3b}}{\frac{3x\times 9}{8x}+\frac{1}{4}}$$

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

$$\frac{\frac{5a}{3b}}{\frac{3\times 9}{8}+\frac{1}{4}}$$

Whakareatia te 3 ki te 9, ka 27.

$$\frac{\frac{5a}{3b}}{\frac{27}{8}+\frac{1}{4}}$$

Ko te maha noa iti rawa atu o 8 me 4 ko 8. Me tahuri \frac{27}{8} me \frac{1}{4} ki te hautau me te tautūnga 8.

$$\frac{\frac{5a}{3b}}{\frac{27}{8}+\frac{2}{8}}$$

Tā te mea he rite te tauraro o \frac{27}{8} me \frac{2}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5a}{3b}}{\frac{27+2}{8}}$$

Tāpirihia te 27 ki te 2, ka 29.

$$\frac{\frac{5a}{3b}}{\frac{29}{8}}$$

Whakawehe \frac{5a}{3b} ki te \frac{29}{8} mā te whakarea \frac{5a}{3b} ki te tau huripoki o \frac{29}{8}.

$$\frac{5a\times 8}{3b\times 29}$$

Whakareatia te 5 ki te 8, ka 40.

$$\frac{40a}{3b\times 29}$$

Whakareatia te 3 ki te 29, ka 87.

$$\frac{40a}{87b}$$