Whakaoti i te p/100N/frac{p{100}N+(5/4)(100-p/100)N}=

$$\frac { \frac { p } { 100 } N } { \frac { p } { 100 } N + ( \frac { 5 } { 4 } ) ( \frac { 100 - p } { 100 } ) N } =$$

Aromātai

$$\frac{4p}{500-p}$$

Ngā Hipanga Rongoā Poto

Tuhia te \frac{p}{100}N hei hautanga kotahi.

$$\frac{\frac{pN}{100}}{\frac{p}{100}N+\frac{5}{4}\times \frac{100-p}{100}N}$$

Tuhia te \frac{p}{100}N hei hautanga kotahi.

$$\frac{\frac{pN}{100}}{\frac{pN}{100}+\frac{5}{4}\times \frac{100-p}{100}N}$$

Me whakarea te \frac{5}{4} ki te \frac{100-p}{100} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{pN}{100}}{\frac{pN}{100}+\frac{5\left(100-p\right)}{4\times 100}N}$$

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

$$\frac{\frac{pN}{100}}{\frac{pN}{100}+\frac{-p+100}{4\times 20}N}$$

Tuhia te \frac{-p+100}{4\times 20}N hei hautanga kotahi.

$$\frac{\frac{pN}{100}}{\frac{pN}{100}+\frac{\left(-p+100\right)N}{4\times 20}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 100 me 4\times 20 ko 400. Whakareatia \frac{pN}{100} ki te \frac{4}{4}. Whakareatia \frac{\left(-p+100\right)N}{4\times 20} ki te \frac{5}{5}.

$$\frac{\frac{pN}{100}}{\frac{4pN}{400}+\frac{5\left(-p+100\right)N}{400}}$$

Tā te mea he rite te tauraro o \frac{4pN}{400} me \frac{5\left(-p+100\right)N}{400}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{pN}{100}}{\frac{4pN+5\left(-p+100\right)N}{400}}$$

Mahia ngā whakarea i roto o 4pN+5\left(-p+100\right)N.

$$\frac{\frac{pN}{100}}{\frac{4pN-5pN+500N}{400}}$$

Whakakotahitia ngā kupu rite i 4pN-5pN+500N.

$$\frac{\frac{pN}{100}}{\frac{-pN+500N}{400}}$$

Whakawehe \frac{pN}{100} ki te \frac{-pN+500N}{400} mā te whakarea \frac{pN}{100} ki te tau huripoki o \frac{-pN+500N}{400}.

$$\frac{pN\times 400}{100\left(-pN+500N\right)}$$

Me whakakore tahi te 100 i te taurunga me te tauraro.

$$\frac{4Np}{-Np+500N}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{4Np}{N\left(-p+500\right)}$$

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

$$\frac{4p}{-p+500}$$

Whakaroha

$$-\frac{4p}{p-500}$$

Ngā Hipanga Rongoā Poto

Tuhia te \frac{p}{100}N hei hautanga kotahi.

$$\frac{\frac{pN}{100}}{\frac{p}{100}N+\frac{5}{4}\times \frac{100-p}{100}N}$$

Tuhia te \frac{p}{100}N hei hautanga kotahi.

$$\frac{\frac{pN}{100}}{\frac{pN}{100}+\frac{5}{4}\times \frac{100-p}{100}N}$$

Me whakarea te \frac{5}{4} ki te \frac{100-p}{100} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{pN}{100}}{\frac{pN}{100}+\frac{5\left(100-p\right)}{4\times 100}N}$$

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

$$\frac{\frac{pN}{100}}{\frac{pN}{100}+\frac{-p+100}{4\times 20}N}$$

Tuhia te \frac{-p+100}{4\times 20}N hei hautanga kotahi.

$$\frac{\frac{pN}{100}}{\frac{pN}{100}+\frac{\left(-p+100\right)N}{4\times 20}}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 100 me 4\times 20 ko 400. Whakareatia \frac{pN}{100} ki te \frac{4}{4}. Whakareatia \frac{\left(-p+100\right)N}{4\times 20} ki te \frac{5}{5}.

$$\frac{\frac{pN}{100}}{\frac{4pN}{400}+\frac{5\left(-p+100\right)N}{400}}$$

Tā te mea he rite te tauraro o \frac{4pN}{400} me \frac{5\left(-p+100\right)N}{400}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{pN}{100}}{\frac{4pN+5\left(-p+100\right)N}{400}}$$

Mahia ngā whakarea i roto o 4pN+5\left(-p+100\right)N.

$$\frac{\frac{pN}{100}}{\frac{4pN-5pN+500N}{400}}$$

Whakakotahitia ngā kupu rite i 4pN-5pN+500N.

$$\frac{\frac{pN}{100}}{\frac{-pN+500N}{400}}$$

Whakawehe \frac{pN}{100} ki te \frac{-pN+500N}{400} mā te whakarea \frac{pN}{100} ki te tau huripoki o \frac{-pN+500N}{400}.

$$\frac{pN\times 400}{100\left(-pN+500N\right)}$$

Me whakakore tahi te 100 i te taurunga me te tauraro.

$$\frac{4Np}{-Np+500N}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{4Np}{N\left(-p+500\right)}$$

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

$$\frac{4p}{-p+500}$$