What is the answer to 3/2 a-4/3 a=-10/3+2 2/3 a ?

The answer to 3/2 a-4/3 a=-10/3+2 2/3 a is a=1 1/3

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3/2 a-4/3 a=-10/3+2 2/3 a

\frac{3}{2} a - \frac{4}{3} a = - \frac{10}{3} + 2 \frac{2}{3} a

a = 1 \frac{1}{3}

Decimal Notation

a = 1.33333 \dots

Solution steps

\frac{3}{2} a - \frac{4}{3} a = - \frac{10}{3} + 2 \frac{2}{3} a

Convert mixed numbers to improper fractions:

2 \frac{2}{3} = \frac{8}{3}

\frac{3}{2} a - \frac{4}{3} a = - \frac{10}{3} + \frac{8}{3} a

Move

\frac{8}{3} a

to the left side

- \frac{5}{2} a = - \frac{10}{3}

Multiply both sides by

2

- 5 a = - \frac{20}{3}

Divide both sides by

- 5

a = \frac{4}{3}

Convert improper fractions to mixed numbers:

\frac{4}{3} = 1 \frac{1}{3}

a = 1 \frac{1}{3}

x, 4 x + 6 y - 8 = 0

14 + 8 (u + 12) = 2 (6 u + 19)

5 x - 5 + 2 x + 10 = 180

6 \cdot \frac{x}{7} + \frac{3}{7} \cdot x = \frac{3}{7}

x, \frac{2 x}{3} + \frac{y}{5} = 6

What is the answer to 3/2 a-4/3 a=-10/3+2 2/3 a ?
The answer to 3/2 a-4/3 a=-10/3+2 2/3 a is a=1 1/3
Solve for a: 3/2 a-4/3 a=-10/3+2 2/3 a
The solution is a=1 1/3