Whakaoti i te 1/2w-3=11/5-3/4w

$$\frac { 1 } { 2 } w - 3 = \frac { 11 } { 5 } - \frac { 3 } { 4 } w$$

Whakaoti mō w

$$w = \frac{104}{25} = 4\frac{4}{25} = 4.16$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te \frac{3}{4}w ki ngā taha e rua.

$$\frac{1}{2}w-3+\frac{3}{4}w=\frac{11}{5}$$

Pahekotia te \frac{1}{2}w me \frac{3}{4}w, ka \frac{5}{4}w.

$$\frac{5}{4}w-3=\frac{11}{5}$$

Me tāpiri te 3 ki ngā taha e rua.

$$\frac{5}{4}w=\frac{11}{5}+3$$

Me tahuri te 3 ki te hautau \frac{15}{5}.

$$\frac{5}{4}w=\frac{11}{5}+\frac{15}{5}$$

Tā te mea he rite te tauraro o \frac{11}{5} me \frac{15}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{4}w=\frac{11+15}{5}$$

Tāpirihia te 11 ki te 15, ka 26.

$$\frac{5}{4}w=\frac{26}{5}$$

Me whakarea ngā taha e rua ki te \frac{4}{5}, te tau utu o \frac{5}{4}.

$$w=\frac{26}{5}\times \frac{4}{5}$$

Me whakarea te \frac{26}{5} ki te \frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$w=\frac{26\times 4}{5\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{26\times 4}{5\times 5}.

$$w=\frac{104}{25}$$