Solve the following proportion for $$ \frac{13}{11}=\frac{8}{y} $$

Question

UpStudy AI · Accepted Answer

To solve the proportion:

$$
\frac{13}{11} = \frac{8}{y}
$$

**Step 1: Cross-Multiply**

Multiply the numerator of one fraction by the denominator of the other fraction:

$$
13 \times y = 11 \times 8
$$

$$
13y = 88
$$

**Step 2: Solve for $$ y $$**

Divide both sides of the equation by 13:

$$
y = \frac{88}{13}
$$

**Step 3: Simplify (Optional)**

You can leave the answer as an improper fraction or convert it to a mixed number or decimal:

- **As a mixed number:**

$$
y = 6 \frac{10}{13}
$$

- **As a decimal:**

$$
y \approx 6.769
$$

**Final Answer:**

$$
y = \frac{88}{13} \quad \text{or} \quad y \approx 6.769
$$
$$ y = \frac{88}{13} $$ or $$ y \approx 6.769 $$

Solve the following proportion for \[ \frac{13}{11}=\frac{8}{y} \]