Whakaoti i te (4/5-x+9/x-5)div(2/x+3/x-5)

$$( \frac { 4 } { 5 - x } + \frac { 9 } { x - 5 } ) \div ( \frac { 2 } { x } + \frac { 3 } { x - 5 } )$$

Aromātai

$$\frac{x}{x-2}$$

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 5-x me x-5 ko x-5. Whakareatia \frac{4}{5-x} ki te \frac{-1}{-1}.

$$\frac{\frac{4\left(-1\right)}{x-5}+\frac{9}{x-5}}{\frac{2}{x}+\frac{3}{x-5}}$$

Tā te mea he rite te tauraro o \frac{4\left(-1\right)}{x-5} me \frac{9}{x-5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4\left(-1\right)+9}{x-5}}{\frac{2}{x}+\frac{3}{x-5}}$$

Mahia ngā whakarea i roto o 4\left(-1\right)+9.

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

Mahia ngā tātaitai i roto o -4+9.

$$\frac{\frac{5}{x-5}}{\frac{2}{x}+\frac{3}{x-5}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x me x-5 ko x\left(x-5\right). Whakareatia \frac{2}{x} ki te \frac{x-5}{x-5}. Whakareatia \frac{3}{x-5} ki te \frac{x}{x}.

$$\frac{\frac{5}{x-5}}{\frac{2\left(x-5\right)}{x\left(x-5\right)}+\frac{3x}{x\left(x-5\right)}}$$

Tā te mea he rite te tauraro o \frac{2\left(x-5\right)}{x\left(x-5\right)} me \frac{3x}{x\left(x-5\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5}{x-5}}{\frac{2\left(x-5\right)+3x}{x\left(x-5\right)}}$$

Mahia ngā whakarea i roto o 2\left(x-5\right)+3x.

$$\frac{\frac{5}{x-5}}{\frac{2x-10+3x}{x\left(x-5\right)}}$$

Whakakotahitia ngā kupu rite i 2x-10+3x.

$$\frac{\frac{5}{x-5}}{\frac{5x-10}{x\left(x-5\right)}}$$

Whakawehe \frac{5}{x-5} ki te \frac{5x-10}{x\left(x-5\right)} mā te whakarea \frac{5}{x-5} ki te tau huripoki o \frac{5x-10}{x\left(x-5\right)}.

$$\frac{5x\left(x-5\right)}{\left(x-5\right)\left(5x-10\right)}$$

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

$$\frac{5x}{5x-10}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{5x}{5\left(x-2\right)}$$

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

$$\frac{x}{x-2}$$

Whakaroha

$$\frac{x}{x-2}$$

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 5-x me x-5 ko x-5. Whakareatia \frac{4}{5-x} ki te \frac{-1}{-1}.

$$\frac{\frac{4\left(-1\right)}{x-5}+\frac{9}{x-5}}{\frac{2}{x}+\frac{3}{x-5}}$$

Tā te mea he rite te tauraro o \frac{4\left(-1\right)}{x-5} me \frac{9}{x-5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{4\left(-1\right)+9}{x-5}}{\frac{2}{x}+\frac{3}{x-5}}$$

Mahia ngā whakarea i roto o 4\left(-1\right)+9.

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

Mahia ngā tātaitai i roto o -4+9.

$$\frac{\frac{5}{x-5}}{\frac{2}{x}+\frac{3}{x-5}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x me x-5 ko x\left(x-5\right). Whakareatia \frac{2}{x} ki te \frac{x-5}{x-5}. Whakareatia \frac{3}{x-5} ki te \frac{x}{x}.

$$\frac{\frac{5}{x-5}}{\frac{2\left(x-5\right)}{x\left(x-5\right)}+\frac{3x}{x\left(x-5\right)}}$$

Tā te mea he rite te tauraro o \frac{2\left(x-5\right)}{x\left(x-5\right)} me \frac{3x}{x\left(x-5\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{5}{x-5}}{\frac{2\left(x-5\right)+3x}{x\left(x-5\right)}}$$

Mahia ngā whakarea i roto o 2\left(x-5\right)+3x.

$$\frac{\frac{5}{x-5}}{\frac{2x-10+3x}{x\left(x-5\right)}}$$

Whakakotahitia ngā kupu rite i 2x-10+3x.

$$\frac{\frac{5}{x-5}}{\frac{5x-10}{x\left(x-5\right)}}$$

Whakawehe \frac{5}{x-5} ki te \frac{5x-10}{x\left(x-5\right)} mā te whakarea \frac{5}{x-5} ki te tau huripoki o \frac{5x-10}{x\left(x-5\right)}.

$$\frac{5x\left(x-5\right)}{\left(x-5\right)\left(5x-10\right)}$$

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

$$\frac{5x}{5x-10}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{5x}{5\left(x-2\right)}$$

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

$$\frac{x}{x-2}$$