Whakaoti i te 1/3(-5/7m+6/7)=1-1/3m

$$\frac { 1 } { 3 } ( - \frac { 5 } { 7 } m + \frac { 6 } { 7 } ) = 1 - \frac { 1 } { 3 } m$$

Whakaoti mō m

$$m = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{3} ki te -\frac{5}{7}m+\frac{6}{7}.

$$\frac{1}{3}\left(-\frac{5}{7}\right)m+\frac{1}{3}\times \frac{6}{7}=1-\frac{1}{3}m$$

Me whakarea te \frac{1}{3} ki te -\frac{5}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\left(-5\right)}{3\times 7}m+\frac{1}{3}\times \frac{6}{7}=1-\frac{1}{3}m$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-5\right)}{3\times 7}.

$$\frac{-5}{21}m+\frac{1}{3}\times \frac{6}{7}=1-\frac{1}{3}m$$

Ka taea te hautanga \frac{-5}{21} te tuhi anō ko -\frac{5}{21} mā te tango i te tohu tōraro.

$$-\frac{5}{21}m+\frac{1}{3}\times \frac{6}{7}=1-\frac{1}{3}m$$

Me whakarea te \frac{1}{3} ki te \frac{6}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{5}{21}m+\frac{1\times 6}{3\times 7}=1-\frac{1}{3}m$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 6}{3\times 7}.

$$-\frac{5}{21}m+\frac{6}{21}=1-\frac{1}{3}m$$

Whakahekea te hautanga \frac{6}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{5}{21}m+\frac{2}{7}=1-\frac{1}{3}m$$

Me tāpiri te \frac{1}{3}m ki ngā taha e rua.

$$-\frac{5}{21}m+\frac{2}{7}+\frac{1}{3}m=1$$

Pahekotia te -\frac{5}{21}m me \frac{1}{3}m, ka \frac{2}{21}m.

$$\frac{2}{21}m+\frac{2}{7}=1$$

Tangohia te \frac{2}{7} mai i ngā taha e rua.

$$\frac{2}{21}m=1-\frac{2}{7}$$

Me tahuri te 1 ki te hautau \frac{7}{7}.

$$\frac{2}{21}m=\frac{7}{7}-\frac{2}{7}$$

Tā te mea he rite te tauraro o \frac{7}{7} me \frac{2}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2}{21}m=\frac{7-2}{7}$$

Tangohia te 2 i te 7, ka 5.

$$\frac{2}{21}m=\frac{5}{7}$$

Me whakarea ngā taha e rua ki te \frac{21}{2}, te tau utu o \frac{2}{21}.

$$m=\frac{5}{7}\times \frac{21}{2}$$

Me whakarea te \frac{5}{7} ki te \frac{21}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$m=\frac{5\times 21}{7\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 21}{7\times 2}.

$$m=\frac{105}{14}$$

Whakahekea te hautanga \frac{105}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$m=\frac{15}{2}$$