What is the answer to 3(a-2/3)= 3/4 a+2 1/4 ?

The answer to 3(a-2/3)= 3/4 a+2 1/4 is a=1 8/9

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3(a-2/3)= 3/4 a+2 1/4

3 (a - \frac{2}{3}) = \frac{3}{4} a + 2 \frac{1}{4}

a = 1 \frac{8}{9}

Decimal Notation

a = 1.88888 \dots

Solution steps

3 (a - \frac{2}{3}) = \frac{3}{4} a + 2 \frac{1}{4}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

3 (a - \frac{2}{3}) = \frac{3}{4} a + \frac{9}{4}

Expand

3 (a - \frac{2}{3}) : 3 a - 2

3 a - 2 = \frac{3}{4} a + \frac{9}{4}

Move

2

to the right side

3 a = \frac{17}{4} + \frac{3}{4} a

Move

\frac{3}{4} a

to the left side

\frac{9}{4} a = \frac{17}{4}

Multiply both sides by

4

9 a = 17

Divide both sides by

9

a = \frac{17}{9}

Convert improper fractions to mixed numbers:

\frac{17}{9} = 1 \frac{8}{9}

a = 1 \frac{8}{9}

- 36 + 6 x = - 4 (- 2 x + 7)

12 p = 48

- \frac{5}{3} a = 15

- 5 y + 4 = - 11

- 6 a = - 18

What is the answer to 3(a-2/3)= 3/4 a+2 1/4 ?
The answer to 3(a-2/3)= 3/4 a+2 1/4 is a=1 8/9
Solve for a: 3(a-2/3)= 3/4 a+2 1/4
The solution is a=1 8/9