Solve for x 2 3/5x=9/15

$2 \frac{3}{5} x = \frac{9}{15}$

Simplify the left side.

Simplify $2 \frac{3}{5} x$ .

Convert $2 \frac{3}{5}$ to an improper fraction.

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

$(2 + \frac{3}{5}) x = \frac{9}{15}$

Add $2$ and $\frac{3}{5}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(2 \cdot \frac{5}{5} + \frac{3}{5}) x = \frac{9}{15}$

Combine $2$ and $\frac{5}{5}$ .

$(\frac{2 \cdot 5}{5} + \frac{3}{5}) x = \frac{9}{15}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 5 + 3}{5} x = \frac{9}{15}$

Simplify the numerator.

Multiply $2$ by $5$ .

$\frac{10 + 3}{5} x = \frac{9}{15}$

Add $10$ and $3$ .

$\frac{13}{5} x = \frac{9}{15}$

Combine $\frac{13}{5}$ and $x$ .

$\frac{13 x}{5} = \frac{9}{15}$

Simplify the right side.

Cancel the common factor of $9$ and $15$ .

Factor $3$ out of $9$ .

$\frac{13 x}{5} = \frac{3 (3)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

$\frac{13 x}{5} = \frac{3 \cdot 3}{3 \cdot 5}$

Cancel the common factor.

$\frac{13 x}{5} = \frac{3 \cdot 3}{3 \cdot 5}$

Rewrite the expression.

$\frac{13 x}{5} = \frac{3}{5}$

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$13 x = 3$

Divide each term in $13 x = 3$ by $13$ and simplify.

Divide each term in $13 x = 3$ by $13$ .

$\frac{13 x}{13} = \frac{3}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 x}{13} = \frac{3}{13}$

Divide $x$ by $1$ .

$x = \frac{3}{13}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{13}$

Decimal Form:

$x = 0.\overline{230769}$

Solve for x 2 3/5x=9/15

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