https://file.aiquickdraw.com/mathbot/file/17304645370354f2e7yil.jpg

Let's solve each expression separately.

### Problem 1
\[
15 \frac{8}{10} - 4 \frac{20}{100}
\]

#### Step 1: Convert the Mixed Numbers to Improper Fractions
1. \( 15 \frac{8}{10} = 15 + \frac{8}{10} = 15 + 0.8 = 15.8 \)
2. \( 4 \frac{20}{100} = 4 + \frac{20}{100} = 4 + 0.2 = 4.2 \)

#### Step 2: Subtract
\[
15.8 - 4.2 = 11.6
\]

So, the answer for the first expression is:
\[
15 \frac{8}{10} - 4 \frac{20}{100} = 11.6
\]

---

### Problem 2
\[
10 \frac{8}{9} - 4 \frac{2}{3}
\]

#### Step 1: Convert the Mixed Numbers to Improper Fractions
1. \( 10 \frac{8}{9} = 10 + \frac{8}{9} \)
2. \( 4 \frac{2}{3} = 4 + \frac{2}{3} \)

Now, let's find the values of these:
- \( 10 + \frac{8}{9} = \frac{90 + 8}{9} = \frac{98}{9} \)
- \( 4 + \frac{2}{3} = \frac{12 + 2}{3} = \frac{14}{3} \)

#### Step 2: Rewrite with a Common Denominator
To subtract \( \frac{98}{9} - \frac{14}{3} \), we need a common denominator. The least common multiple of 9 and 3 is 9.

\[
\frac{14}{3} = \frac{14 \times 3}{3 \times 3} = \frac{42}{9}
\]

#### Step 3: Subtract
\[
\frac{98}{9} - \frac{42}{9} = \frac{98 - 42}{9} = \frac{56}{9}
\]

#### Step 4: Convert to Mixed Number
\[
\frac{56}{9} = 6 \frac{2}{9}
\]

So, the answer for the second expression is:
\[
10 \frac{8}{9} - 4 \frac{2}{3} = 6 \frac{2}{9}
\]

---

### Summary of Answers:
1. \( 15 \frac{8}{10} - 4 \frac{20}{100} = 11.6 \)
2. \( 10 \frac{8}{9} - 4 \frac{2}{3} = 6 \frac{2}{9} \)

Would you like a more detailed explanation, or do you have any questions?

---

Here are five related questions for practice:
1. How would you handle a subtraction problem with mixed numbers having different denominators?
2. What is the process for converting mixed numbers to improper fractions?
3. How do you determine the least common multiple when finding a common denominator?
4. How do you convert improper fractions back to mixed numbers?
5. How would this process change for addition instead of subtraction?

**Tip:** Always ensure to simplify fractions at the end for the final answer.

15 8/10 - 4 20/100 = ?
10 8/9 - 4 2/3 = ?

Learn how to solve subtraction problems with mixed numbers, such as 15 8/10 - 4 20/100 and 10 8/9 - 4 2/3. This guide covers conversion of mixed numbers to improper fractions, finding common denominators, and performing subtraction with fractions. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation