Whakaoti i te 31/2/4frac{3{4}}=181/2/n

$$\frac { 3 \frac { 1 } { 2 } } { 4 \frac { 3 } { 4 } } = \frac { 18 \frac { 1 } { 2 } } { n }$$

Whakaoti mō n

$$n = \frac{703}{28} = 25\frac{3}{28} \approx 25.107142857$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe n ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te n.

$$\frac{4}{19}n\times \frac{3\times 2+1}{2}=\frac{18\times 2+1}{2}$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{4}{19}n\times \frac{6+1}{2}=\frac{18\times 2+1}{2}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{4}{19}n\times \frac{7}{2}=\frac{18\times 2+1}{2}$$

Me whakarea te \frac{4}{19} ki te \frac{7}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 7}{19\times 2}n=\frac{18\times 2+1}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 7}{19\times 2}.

$$\frac{28}{38}n=\frac{18\times 2+1}{2}$$

Whakahekea te hautanga \frac{28}{38} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{14}{19}n=\frac{18\times 2+1}{2}$$

Whakareatia te 18 ki te 2, ka 36.

$$\frac{14}{19}n=\frac{36+1}{2}$$

Tāpirihia te 36 ki te 1, ka 37.

$$\frac{14}{19}n=\frac{37}{2}$$

Me whakarea ngā taha e rua ki te \frac{19}{14}, te tau utu o \frac{14}{19}.

$$n=\frac{37}{2}\times \frac{19}{14}$$

Me whakarea te \frac{37}{2} ki te \frac{19}{14} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$n=\frac{37\times 19}{2\times 14}$$

Mahia ngā whakarea i roto i te hautanga \frac{37\times 19}{2\times 14}.

$$n=\frac{703}{28}$$