Question
Solve the following proportion for \[ \frac{13}{11}=\frac{8}{y} \]
Ask by Fuentes Ross. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y = \frac{88}{13} \) or \( y \approx 6.769 \)
Solution
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:**
\[
y = \frac{88}{13} \quad \text{or} \quad y \approx 6.769
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution The Deep Dive
To solve the proportion \(\frac{13}{11} = \frac{8}{y}\), you can cross-multiply. This means you multiply the numerator of one fraction by the denominator of the other fraction: \[ 13y = 11 \times 8 \] Calculating the right side: \[ 13y = 88 \] Now, to isolate \(y\), divide both sides by 13: \[ y = \frac{88}{13} \] This simplifies to approximately: \[ y \approx 6.77 \] So, the solution to the proportion is: \[ y = \frac{88}{13} \] or approximately \(6.77\).
