7:13 © 124 Done deltamath.com \( \equiv \quad \) Assignment Overview \( 1 \approx \) DeltaMath Convert Improper Fractions / Mixed Numl © This is the only question in this section. Question (D) Video Examples Convert \( 8 \frac{3}{10} \) into an improper fraction. Answer Attempt 1 out of 2 \( \square \) Submit Answer Copyright ©2025 DeltaMath.com All Rights Reserved. Terms \& Policies

Sure, I can help you convert the mixed number \( 8 \frac{3}{10} \) into an improper fraction. Here's how you can do it step-by-step: ### **Step 1: Understand the Components** A **mixed number** consists of two parts: 1. **Whole Number**: In this case, **8** 2. **Fraction**: In this case, **\(\frac{3}{10}\)** ### **Step 2: Use the Conversion Formula** To convert a mixed number to an improper fraction, use the following formula: \[ \text{Improper Fraction} = (\text{Whole Number} \times \text{Denominator}) + \text{Numerator} \quad \text{over} \quad \text{Denominator} \] ### **Step 3: Plug in the Values** Given the mixed number \( 8 \frac{3}{10} \): - **Whole Number (a)** = 8 - **Numerator (b)** = 3 - **Denominator (c)** = 10 Applying the formula: \[ \text{Improper Fraction} = (8 \times 10) + 3 \quad \text{over} \quad 10 \] \[ \text{Improper Fraction} = 80 + 3 \quad \text{over} \quad 10 \] \[ \text{Improper Fraction} = \frac{83}{10} \] ### **Final Answer** \[ 8 \frac{3}{10} = \frac{83}{10} \] ### **Verification** To ensure the conversion is correct, you can convert the improper fraction back to a mixed number: \[ \frac{83}{10} = 8 \frac{3}{10} \] This confirms that the improper fraction \(\frac{83}{10}\) is equivalent to the mixed number \(8 \frac{3}{10}\). --- **Summary:** \( 8 \frac{3}{10} \) converted into an improper fraction is \(\frac{83}{10}\).