Whakaoti i te =x(3/5+1/4)-1/4=11/160

$$= x ( \frac { 3 } { 5 } + \frac { 1 } { 4 } ) - \frac { 1 } { 4 } = \frac { 11 } { 160 }$$

Whakaoti mō x

$$x=\frac{3}{8}=0.375$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{3}{5} me \frac{1}{4} ki te hautau me te tautūnga 20.

$$x\left(\frac{12}{20}+\frac{5}{20}\right)-\frac{1}{4}=\frac{11}{160}$$

Tā te mea he rite te tauraro o \frac{12}{20} me \frac{5}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x\times \frac{12+5}{20}-\frac{1}{4}=\frac{11}{160}$$

Tāpirihia te 12 ki te 5, ka 17.

$$x\times \frac{17}{20}-\frac{1}{4}=\frac{11}{160}$$

Me tāpiri te \frac{1}{4} ki ngā taha e rua.

$$x\times \frac{17}{20}=\frac{11}{160}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 160 me 4 ko 160. Me tahuri \frac{11}{160} me \frac{1}{4} ki te hautau me te tautūnga 160.

$$x\times \frac{17}{20}=\frac{11}{160}+\frac{40}{160}$$

Tā te mea he rite te tauraro o \frac{11}{160} me \frac{40}{160}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x\times \frac{17}{20}=\frac{11+40}{160}$$

Tāpirihia te 11 ki te 40, ka 51.

$$x\times \frac{17}{20}=\frac{51}{160}$$

Me whakarea ngā taha e rua ki te \frac{20}{17}, te tau utu o \frac{17}{20}.

$$x=\frac{51}{160}\times \frac{20}{17}$$

Me whakarea te \frac{51}{160} ki te \frac{20}{17} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{51\times 20}{160\times 17}$$

Mahia ngā whakarea i roto i te hautanga \frac{51\times 20}{160\times 17}.

$$x=\frac{1020}{2720}$$

Whakahekea te hautanga \frac{1020}{2720} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 340.

$$x=\frac{3}{8}$$