What is the answer to -8 5/9 =4 2/3 w ?

The answer to -8 5/9 =4 2/3 w is w=-1 5/6

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-8 5/9 =4 2/3 w

- 8 \frac{5}{9} = 4 \frac{2}{3} w

w = - 1 \frac{5}{6}

Decimal Notation

w = - 1.83333 \dots

Solution steps

- 8 \frac{5}{9} = 4 \frac{2}{3} w

Convert mixed numbers to improper fractions:

8 \frac{5}{9} = \frac{77}{9}

- \frac{77}{9} = 4 \frac{2}{3} w

Convert mixed numbers to improper fractions:

4 \frac{2}{3} = \frac{14}{3}

- \frac{77}{9} = \frac{14}{3} w

Switch sides

\frac{14}{3} w = - \frac{77}{9}

Multiply both sides by

3

14 w = - \frac{77}{3}

Divide both sides by

14

w = - \frac{11}{6}

Convert improper fractions to mixed numbers:

\frac{11}{6} = 1 \frac{5}{6}

w = - 1 \frac{5}{6}

x, x + 4 y = 6

x, 3 x - 4 y = 4

x, 5 x - 2 y = 20

x, - 5 x - 4 y = - 8

\frac{2 x - 8}{7} = 5 x + 2

What is the answer to -8 5/9 =4 2/3 w ?
The answer to -8 5/9 =4 2/3 w is w=-1 5/6
Solve for w: -8 5/9 =4 2/3 w
The solution is w=-1 5/6