Whakaoti i te x/2y^2+y/3x^2/frac{1{6xy}+2/x^2y}

$$\frac { \frac { x } { 2 y ^ { 2 } } + \frac { y } { 3 x ^ { 2 } } } { \frac { 1 } { 6 x y } + \frac { 2 } { x ^ { 2 } y } }$$

Aromātai

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

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 2y^{2} me 3x^{2} ko 6x^{2}y^{2}. Whakareatia \frac{x}{2y^{2}} ki te \frac{3x^{2}}{3x^{2}}. Whakareatia \frac{y}{3x^{2}} ki te \frac{2y^{2}}{2y^{2}}.

$$\frac{\frac{x\times 3x^{2}}{6x^{2}y^{2}}+\frac{y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Tā te mea he rite te tauraro o \frac{x\times 3x^{2}}{6x^{2}y^{2}} me \frac{y\times 2y^{2}}{6x^{2}y^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{x\times 3x^{2}+y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Mahia ngā whakarea i roto o x\times 3x^{2}+y\times 2y^{2}.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 6xy me x^{2}y ko 6yx^{2}. Whakareatia \frac{1}{6xy} ki te \frac{x}{x}. Whakareatia \frac{2}{x^{2}y} ki te \frac{6}{6}.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x}{6yx^{2}}+\frac{2\times 6}{6yx^{2}}}$$

Tā te mea he rite te tauraro o \frac{x}{6yx^{2}} me \frac{2\times 6}{6yx^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+2\times 6}{6yx^{2}}}$$

Mahia ngā whakarea i roto o x+2\times 6.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+12}{6yx^{2}}}$$

Whakawehe \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} ki te \frac{x+12}{6yx^{2}} mā te whakarea \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} ki te tau huripoki o \frac{x+12}{6yx^{2}}.

$$\frac{\left(3x^{3}+2y^{3}\right)\times 6yx^{2}}{6x^{2}y^{2}\left(x+12\right)}$$

Me whakakore tahi te 6yx^{2} i te taurunga me te tauraro.

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x+12.

$$\frac{3x^{3}+2y^{3}}{yx+12y}$$

Whakaroha

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

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 2y^{2} me 3x^{2} ko 6x^{2}y^{2}. Whakareatia \frac{x}{2y^{2}} ki te \frac{3x^{2}}{3x^{2}}. Whakareatia \frac{y}{3x^{2}} ki te \frac{2y^{2}}{2y^{2}}.

$$\frac{\frac{x\times 3x^{2}}{6x^{2}y^{2}}+\frac{y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Tā te mea he rite te tauraro o \frac{x\times 3x^{2}}{6x^{2}y^{2}} me \frac{y\times 2y^{2}}{6x^{2}y^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{x\times 3x^{2}+y\times 2y^{2}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Mahia ngā whakarea i roto o x\times 3x^{2}+y\times 2y^{2}.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{1}{6xy}+\frac{2}{x^{2}y}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 6xy me x^{2}y ko 6yx^{2}. Whakareatia \frac{1}{6xy} ki te \frac{x}{x}. Whakareatia \frac{2}{x^{2}y} ki te \frac{6}{6}.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x}{6yx^{2}}+\frac{2\times 6}{6yx^{2}}}$$

Tā te mea he rite te tauraro o \frac{x}{6yx^{2}} me \frac{2\times 6}{6yx^{2}}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+2\times 6}{6yx^{2}}}$$

Mahia ngā whakarea i roto o x+2\times 6.

$$\frac{\frac{3x^{3}+2y^{3}}{6x^{2}y^{2}}}{\frac{x+12}{6yx^{2}}}$$

Whakawehe \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} ki te \frac{x+12}{6yx^{2}} mā te whakarea \frac{3x^{3}+2y^{3}}{6x^{2}y^{2}} ki te tau huripoki o \frac{x+12}{6yx^{2}}.

$$\frac{\left(3x^{3}+2y^{3}\right)\times 6yx^{2}}{6x^{2}y^{2}\left(x+12\right)}$$

Me whakakore tahi te 6yx^{2} i te taurunga me te tauraro.

$$\frac{3x^{3}+2y^{3}}{y\left(x+12\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x+12.

$$\frac{3x^{3}+2y^{3}}{yx+12y}$$