Whakaoti i te 4(3/5y+1/100)+5y=8/15

$$4 ( \frac { 3 } { 5 } y + \frac { 1 } { 100 } ) + 5 y = \frac { 8 } { 15 }$$

Whakaoti mō y

$$y=\frac{1}{15}\approx 0.066666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te \frac{3}{5}y+\frac{1}{100}.

$$4\times \frac{3}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

Tuhia te 4\times \frac{3}{5} hei hautanga kotahi.

$$\frac{4\times 3}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

Whakareatia te 4 ki te 3, ka 12.

$$\frac{12}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

Whakareatia te 4 ki te \frac{1}{100}, ka \frac{4}{100}.

$$\frac{12}{5}y+\frac{4}{100}+5y=\frac{8}{15}$$

Whakahekea te hautanga \frac{4}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{12}{5}y+\frac{1}{25}+5y=\frac{8}{15}$$

Pahekotia te \frac{12}{5}y me 5y, ka \frac{37}{5}y.

$$\frac{37}{5}y+\frac{1}{25}=\frac{8}{15}$$

Tangohia te \frac{1}{25} mai i ngā taha e rua.

$$\frac{37}{5}y=\frac{8}{15}-\frac{1}{25}$$

Ko te maha noa iti rawa atu o 15 me 25 ko 75. Me tahuri \frac{8}{15} me \frac{1}{25} ki te hautau me te tautūnga 75.

$$\frac{37}{5}y=\frac{40}{75}-\frac{3}{75}$$

Tā te mea he rite te tauraro o \frac{40}{75} me \frac{3}{75}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{37}{5}y=\frac{40-3}{75}$$

Tangohia te 3 i te 40, ka 37.

$$\frac{37}{5}y=\frac{37}{75}$$

Me whakarea ngā taha e rua ki te \frac{5}{37}, te tau utu o \frac{37}{5}.

$$y=\frac{37}{75}\times \frac{5}{37}$$

Me whakarea te \frac{37}{75} ki te \frac{5}{37} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$y=\frac{37\times 5}{75\times 37}$$

Me whakakore tahi te 37 i te taurunga me te tauraro.

$$y=\frac{5}{75}$$

Whakahekea te hautanga \frac{5}{75} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$y=\frac{1}{15}$$