Solve the following proportion for $$ u $$ $$ \frac{u}{5}=\frac{13}{3} $$

Question

UpStudy AI · Accepted Answer

To solve the proportion for $$ u $$:

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

**Step 1: Cross-Multiply**

Multiply both sides of the equation by 5 to isolate $$ u $$:

$$
u = \frac{13}{3} \times 5
$$

**Step 2: Simplify the Expression**

Multiply the numerators:

$$
u = \frac{13 \times 5}{3} = \frac{65}{3}
$$

**Step 3: Express as a Mixed Number (Optional)**

If you prefer to express $$ u $$ as a mixed number:

$$
\frac{65}{3} = 21 \frac{2}{3}
$$

**Final Answer:**

$$
u = \frac{65}{3} \quad \text{or} \quad u = 21\,\tfrac{2}{3}
$$
$$ u = \frac{65}{3} $$ or $$ u = 21 \frac{2}{3} $$

Solve the following proportion for \( u \) \[ \frac{u}{5}=\frac{13}{3} \]