Solve for x 3=(5 1/3)(x1/3)

$3 = (5 \frac{1}{3}) (x \frac{1}{3})$

Step 1

Simplify the right side.

Simplify $5 \frac{1}{3} x (\frac{1}{3})$ .

Convert $5 \frac{1}{3}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$3 = (5 + \frac{1}{3}) x \frac{1}{3}$

Add $5$ and $\frac{1}{3}$ .

To write $5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$3 = (5 \cdot \frac{3}{3} + \frac{1}{3}) x \frac{1}{3}$

Combine $5$ and $\frac{3}{3}$ .

$3 = (\frac{5 \cdot 3}{3} + \frac{1}{3}) x \frac{1}{3}$

Combine the numerators over the common denominator.

$3 = \frac{5 \cdot 3 + 1}{3} x \frac{1}{3}$

Simplify the numerator.

Multiply $5$ by $3$ .

$3 = \frac{15 + 1}{3} x \frac{1}{3}$

Add $15$ and $1$ .

$3 = \frac{16}{3} x \frac{1}{3}$

Combine $\frac{16}{3}$ and $x$ .

$3 = \frac{16 x}{3} \cdot \frac{1}{3}$

Multiply $\frac{16 x}{3} \cdot \frac{1}{3}$ .

Multiply $\frac{16 x}{3}$ by $\frac{1}{3}$ .

$3 = \frac{16 x}{3 \cdot 3}$

Multiply $3$ by $3$ .

$3 = \frac{16 x}{9}$

Step 2

Rewrite the equation as $\frac{16 x}{9} = 3$ .

$\frac{16 x}{9} = 3$

Step 3

Multiply both sides of the equation by $\frac{9}{16}$ .

$\frac{9}{16} \cdot \frac{16 x}{9} = \frac{9}{16} \cdot 3$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{9}{16} \cdot \frac{16 x}{9}$ .

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9}{16} \cdot \frac{16 x}{9} = \frac{9}{16} \cdot 3$

Rewrite the expression.

$\frac{1}{16} (16 x) = \frac{9}{16} \cdot 3$

Cancel the common factor of $16$ .

Factor $16$ out of $16 x$ .

$\frac{1}{16} (16 (x)) = \frac{9}{16} \cdot 3$

Cancel the common factor.

$\frac{1}{16} (16 x) = \frac{9}{16} \cdot 3$

Rewrite the expression.

$x = \frac{9}{16} \cdot 3$

Simplify the right side.

Multiply $\frac{9}{16} \cdot 3$ .

Combine $\frac{9}{16}$ and $3$ .

$x = \frac{9 \cdot 3}{16}$

Multiply $9$ by $3$ .

$x = \frac{27}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{27}{16}$

Decimal Form:

$x = 1.6875$

Mixed Number Form:

$x = 1 \frac{11}{16}$

Solve for x 3=(5 1/3)(x1/3)

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