Simplify 3/4x-1/3x-15/8x

$\frac{3}{4} x - \frac{1}{3} x - \frac{15}{8} x$

Step 1

Simplify each term.

Combine $\frac{3}{4}$ and $x$ .

$\frac{3 x}{4} - \frac{1}{3} x - \frac{15}{8} x$

Combine $x$ and $\frac{1}{3}$ .

$\frac{3 x}{4} - \frac{x}{3} - \frac{15}{8} x$

Combine $x$ and $\frac{15}{8}$ .

$\frac{3 x}{4} - \frac{x}{3} - \frac{x \cdot 15}{8}$

Move $15$ to the left of $x$ .

$\frac{3 x}{4} - \frac{x}{3} - \frac{15 x}{8}$

Step 2

Find the common denominator.

Multiply $\frac{3 x}{4}$ by $\frac{6}{6}$ .

$\frac{3 x}{4} \cdot \frac{6}{6} - \frac{x}{3} - \frac{15 x}{8}$

Multiply $\frac{3 x}{4}$ by $\frac{6}{6}$ .

$\frac{3 x \cdot 6}{4 \cdot 6} - \frac{x}{3} - \frac{15 x}{8}$

Multiply $\frac{x}{3}$ by $\frac{8}{8}$ .

$\frac{3 x \cdot 6}{4 \cdot 6} - (\frac{x}{3} \cdot \frac{8}{8}) - \frac{15 x}{8}$

Multiply $\frac{x}{3}$ by $\frac{8}{8}$ .

$\frac{3 x \cdot 6}{4 \cdot 6} - \frac{x \cdot 8}{3 \cdot 8} - \frac{15 x}{8}$

Multiply $\frac{15 x}{8}$ by $\frac{3}{3}$ .

$\frac{3 x \cdot 6}{4 \cdot 6} - \frac{x \cdot 8}{3 \cdot 8} - (\frac{15 x}{8} \cdot \frac{3}{3})$

Multiply $\frac{15 x}{8}$ by $\frac{3}{3}$ .

$\frac{3 x \cdot 6}{4 \cdot 6} - \frac{x \cdot 8}{3 \cdot 8} - \frac{15 x \cdot 3}{8 \cdot 3}$

Multiply $4$ by $6$ .

$\frac{3 x \cdot 6}{24} - \frac{x \cdot 8}{3 \cdot 8} - \frac{15 x \cdot 3}{8 \cdot 3}$

Multiply $3$ by $8$ .

$\frac{3 x \cdot 6}{24} - \frac{x \cdot 8}{24} - \frac{15 x \cdot 3}{8 \cdot 3}$

Reorder the factors of $8 \cdot 3$ .

$\frac{3 x \cdot 6}{24} - \frac{x \cdot 8}{24} - \frac{15 x \cdot 3}{3 \cdot 8}$

Multiply $3$ by $8$ .

$\frac{3 x \cdot 6}{24} - \frac{x \cdot 8}{24} - \frac{15 x \cdot 3}{24}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 x \cdot 6 - x \cdot 8 - 15 x \cdot 3}{24}$

Step 4

Simplify each term.

Multiply $6$ by $3$ .

$\frac{18 x - x \cdot 8 - 15 x \cdot 3}{24}$

Multiply $8$ by $- 1$ .

$\frac{18 x - 8 x - 15 x \cdot 3}{24}$

Multiply $3$ by $- 15$ .

$\frac{18 x - 8 x - 45 x}{24}$

Step 5

Simplify by adding terms.

Subtract $8 x$ from $18 x$ .

$\frac{10 x - 45 x}{24}$

Subtract $45 x$ from $10 x$ .

$\frac{- 35 x}{24}$

Move the negative in front of the fraction.

$- \frac{35 x}{24}$

Simplify 3/4x-1/3x-15/8x

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