Whakaoti i te x*1/2-3/5:8*100/99=88

$$x \cdot \frac { 1 } { 2 } - \frac { 3 } { 5 } : 8 \cdot \frac { 100 } { 99 } = 88$$

Whakaoti mō x

$$x = \frac{5813}{33} = 176\frac{5}{33} \approx 176.151515152$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tuhia te \frac{\frac{3}{5}}{8} hei hautanga kotahi.

$$x\times \frac{1}{2}-\frac{3}{5\times 8}\times \frac{100}{99}=88$$

Whakareatia te 5 ki te 8, ka 40.

$$x\times \frac{1}{2}-\frac{3}{40}\times \frac{100}{99}=88$$

Me whakarea te \frac{3}{40} ki te \frac{100}{99} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x\times \frac{1}{2}-\frac{3\times 100}{40\times 99}=88$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 100}{40\times 99}.

$$x\times \frac{1}{2}-\frac{300}{3960}=88$$

Whakahekea te hautanga \frac{300}{3960} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 60.

$$x\times \frac{1}{2}-\frac{5}{66}=88$$

Me tāpiri te \frac{5}{66} ki ngā taha e rua.

$$x\times \frac{1}{2}=88+\frac{5}{66}$$

Me tahuri te 88 ki te hautau \frac{5808}{66}.

$$x\times \frac{1}{2}=\frac{5808}{66}+\frac{5}{66}$$

Tā te mea he rite te tauraro o \frac{5808}{66} me \frac{5}{66}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x\times \frac{1}{2}=\frac{5808+5}{66}$$

Tāpirihia te 5808 ki te 5, ka 5813.

$$x\times \frac{1}{2}=\frac{5813}{66}$$

Me whakarea ngā taha e rua ki te 2, te tau utu o \frac{1}{2}.

$$x=\frac{5813}{66}\times 2$$

Tuhia te \frac{5813}{66}\times 2 hei hautanga kotahi.

$$x=\frac{5813\times 2}{66}$$

Whakareatia te 5813 ki te 2, ka 11626.

$$x=\frac{11626}{66}$$

Whakahekea te hautanga \frac{11626}{66} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{5813}{33}$$