In Exercises $$ 9-10 $$, solve each 9. $$ \frac{5}{8}=\frac{x}{12} $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
\frac{5}{8} = \frac{x}{12}
$$

**Step 1: Cross-Multiply**

Cross-multiplying helps eliminate the fractions by multiplying the numerator of one ratio by the denominator of the other ratio.

$$
5 \times 12 = 8 \times x
$$

**Step 2: Perform the Multiplication**

$$
60 = 8x
$$

**Step 3: Solve for $$ x $$**

Divide both sides of the equation by 8 to isolate $$ x $$:

$$
x = \frac{60}{8}
$$

**Step 4: Simplify the Fraction**

$$
x = \frac{15}{2} \quad \text{or} \quad x = 7.5
$$

**Final Answer:**

$$
x = \frac{15}{2} \quad \text{or} \quad x = 7.5
$$
$$ x = \frac{15}{2} $$ or $$ x = 7.5 $$

In Exercises \( 9-10 \), solve each 9. \( \frac{5}{8}=\frac{x}{12} \)