Whakaoti i te 3/4:7/8=x:21/2

$$\frac { 3 } { 4 } : \frac { 7 } { 8 } = x : \frac { 21 } { 2 }$$

Whakaoti mō x

$$x=9$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehe \frac{3}{4} ki te \frac{7}{8} mā te whakarea \frac{3}{4} ki te tau huripoki o \frac{7}{8}.

$$\frac{3}{4}\times \frac{8}{7}=\frac{x}{\frac{21}{2}}$$

Me whakarea te \frac{3}{4} ki te \frac{8}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\times 8}{4\times 7}=\frac{x}{\frac{21}{2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 8}{4\times 7}.

$$\frac{24}{28}=\frac{x}{\frac{21}{2}}$$

Whakahekea te hautanga \frac{24}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{6}{7}=\frac{x}{\frac{21}{2}}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{x}{\frac{21}{2}}=\frac{6}{7}$$

Me whakarea ngā taha e rua ki te \frac{21}{2}.

$$x=\frac{6}{7}\times \frac{21}{2}$$

Me whakarea te \frac{6}{7} ki te \frac{21}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{6\times 21}{7\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{6\times 21}{7\times 2}.

$$x=\frac{126}{14}$$

Whakawehea te 126 ki te 14, kia riro ko 9.

$$x=9$$