Réitigh 2/3[4a-3b)+1/3b-1/4(6a+7b)]

$$\frac { 2 } { 3 } [ 4 a - 3 b ) + \frac { 1 } { 3 } b - \frac { 1 } { 4 } ( 6 a + 7 b ) ]$$

Luacháil

$$\frac{7a}{6}-\frac{41b}{12}$$

Céimeanna Réitigh

Úsáid an t-airí dáileach chun \frac{2}{3} a mhéadú faoi 4a-3b.

$$\frac{2}{3}\times 4a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Scríobh \frac{2}{3}\times 4 mar chodán aonair.

$$\frac{2\times 4}{3}a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Méadaigh 2 agus 4 chun 8 a fháil.

$$\frac{8}{3}a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Scríobh \frac{2}{3}\left(-3\right) mar chodán aonair.

$$\frac{8}{3}a+\frac{2\left(-3\right)}{3}b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Méadaigh 2 agus -3 chun -6 a fháil.

$$\frac{8}{3}a+\frac{-6}{3}b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Roinn -6 faoi 3 chun -2 a fháil.

$$\frac{8}{3}a-2b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Comhcheangail -2b agus \frac{1}{3}b chun -\frac{5}{3}b a fháil.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Úsáid an t-airí dáileach chun -\frac{1}{4} a mhéadú faoi 6a+7b.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{1}{4}\times 6a-\frac{1}{4}\times 7b$$

Scríobh -\frac{1}{4}\times 6 mar chodán aonair.

$$\frac{8}{3}a-\frac{5}{3}b+\frac{-6}{4}a-\frac{1}{4}\times 7b$$

Laghdaigh an codán \frac{-6}{4} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a-\frac{1}{4}\times 7b$$

Scríobh -\frac{1}{4}\times 7 mar chodán aonair.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a+\frac{-7}{4}b$$

Is féidir an codán \frac{-7}{4} a athscríobh mar -\frac{7}{4} ach an comhartha diúltach a bhaint.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a-\frac{7}{4}b$$

Comhcheangail \frac{8}{3}a agus -\frac{3}{2}a chun \frac{7}{6}a a fháil.

$$\frac{7}{6}a-\frac{5}{3}b-\frac{7}{4}b$$

Comhcheangail -\frac{5}{3}b agus -\frac{7}{4}b chun -\frac{41}{12}b a fháil.

$$\frac{7}{6}a-\frac{41}{12}b$$

Fairsingigh

$$\frac{7a}{6}-\frac{41b}{12}$$

Céimeanna Réitigh

Úsáid an t-airí dáileach chun \frac{2}{3} a mhéadú faoi 4a-3b.

$$\frac{2}{3}\times 4a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Scríobh \frac{2}{3}\times 4 mar chodán aonair.

$$\frac{2\times 4}{3}a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Méadaigh 2 agus 4 chun 8 a fháil.

$$\frac{8}{3}a+\frac{2}{3}\left(-3\right)b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Scríobh \frac{2}{3}\left(-3\right) mar chodán aonair.

$$\frac{8}{3}a+\frac{2\left(-3\right)}{3}b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Méadaigh 2 agus -3 chun -6 a fháil.

$$\frac{8}{3}a+\frac{-6}{3}b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Roinn -6 faoi 3 chun -2 a fháil.

$$\frac{8}{3}a-2b+\frac{1}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Comhcheangail -2b agus \frac{1}{3}b chun -\frac{5}{3}b a fháil.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{1}{4}\left(6a+7b\right)$$

Úsáid an t-airí dáileach chun -\frac{1}{4} a mhéadú faoi 6a+7b.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{1}{4}\times 6a-\frac{1}{4}\times 7b$$

Scríobh -\frac{1}{4}\times 6 mar chodán aonair.

$$\frac{8}{3}a-\frac{5}{3}b+\frac{-6}{4}a-\frac{1}{4}\times 7b$$

Laghdaigh an codán \frac{-6}{4} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a-\frac{1}{4}\times 7b$$

Scríobh -\frac{1}{4}\times 7 mar chodán aonair.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a+\frac{-7}{4}b$$

Is féidir an codán \frac{-7}{4} a athscríobh mar -\frac{7}{4} ach an comhartha diúltach a bhaint.

$$\frac{8}{3}a-\frac{5}{3}b-\frac{3}{2}a-\frac{7}{4}b$$

Comhcheangail \frac{8}{3}a agus -\frac{3}{2}a chun \frac{7}{6}a a fháil.

$$\frac{7}{6}a-\frac{5}{3}b-\frac{7}{4}b$$

Comhcheangail -\frac{5}{3}b agus -\frac{7}{4}b chun -\frac{41}{12}b a fháil.

$$\frac{7}{6}a-\frac{41}{12}b$$