Simplify (1/7x+3/8)+(2/9x-1/8)

$(\frac{1}{7} x + \frac{3}{8}) + (\frac{2}{9} x - \frac{1}{8})$

Combine fractions.

Remove parentheses.

$\frac{1}{7} x + \frac{3}{8} + \frac{2}{9} x - \frac{1}{8}$

Combine the numerators over the common denominator.

$\frac{1}{7} x + \frac{2}{9} x + \frac{3 - 1}{8}$

Subtract $1$ from $3$ .

$\frac{1}{7} x + \frac{2}{9} x + \frac{2}{8}$

Simplify each term.

Combine $\frac{1}{7}$ and $x$ .

$\frac{x}{7} + \frac{2}{9} x + \frac{2}{8}$

Combine $\frac{2}{9}$ and $x$ .

$\frac{x}{7} + \frac{2 x}{9} + \frac{2}{8}$

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2$ .

$\frac{x}{7} + \frac{2 x}{9} + \frac{2 (1)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$\frac{x}{7} + \frac{2 x}{9} + \frac{2 \cdot 1}{2 \cdot 4}$

Cancel the common factor.

$\frac{x}{7} + \frac{2 x}{9} + \frac{2 \cdot 1}{2 \cdot 4}$

Rewrite the expression.

$\frac{x}{7} + \frac{2 x}{9} + \frac{1}{4}$

To write $\frac{x}{7}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{x}{7} \cdot \frac{9}{9} + \frac{2 x}{9} + \frac{1}{4}$

To write $\frac{2 x}{9}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{x}{7} \cdot \frac{9}{9} + \frac{2 x}{9} \cdot \frac{7}{7} + \frac{1}{4}$

Write each expression with a common denominator of $63$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{x}{7}$ by $\frac{9}{9}$ .

$\frac{x \cdot 9}{7 \cdot 9} + \frac{2 x}{9} \cdot \frac{7}{7} + \frac{1}{4}$

Multiply $7$ by $9$ .

$\frac{x \cdot 9}{63} + \frac{2 x}{9} \cdot \frac{7}{7} + \frac{1}{4}$

Multiply $\frac{2 x}{9}$ by $\frac{7}{7}$ .

$\frac{x \cdot 9}{63} + \frac{2 x \cdot 7}{9 \cdot 7} + \frac{1}{4}$

Multiply $9$ by $7$ .

$\frac{x \cdot 9}{63} + \frac{2 x \cdot 7}{63} + \frac{1}{4}$

Combine the numerators over the common denominator.

$\frac{x \cdot 9 + 2 x \cdot 7}{63} + \frac{1}{4}$

Simplify each term.

Simplify the numerator.

Factor $x$ out of $x \cdot 9 + 2 x \cdot 7$ .

Factor $x$ out of $x \cdot 9$ .

$\frac{x (9) + 2 x \cdot 7}{63} + \frac{1}{4}$

Factor $x$ out of $2 x \cdot 7$ .

$\frac{x (9) + x (2 \cdot 7)}{63} + \frac{1}{4}$

Factor $x$ out of $x (9) + x (2 \cdot 7)$ .

$\frac{x (9 + 2 \cdot 7)}{63} + \frac{1}{4}$

Multiply $2$ by $7$ .

$\frac{x (9 + 14)}{63} + \frac{1}{4}$

Add $9$ and $14$ .

$\frac{x \cdot 23}{63} + \frac{1}{4}$

Move $23$ to the left of $x$ .

$\frac{23 x}{63} + \frac{1}{4}$

Simplify (1/7x+3/8)+(2/9x-1/8)

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