https://file.aiquickdraw.com/mathbot/file/1726005966119o7jjnglw.jpg

The image shows a mathematical expression involving mixed numbers and fractions. It appears to be:

\[
\frac{3 \frac{3}{4}}{2 \frac{1}{3}} - \frac{5}{6}
\]

To solve this, we'll break it down into two parts:

### 1. **Simplify the division**:
   Convert both mixed numbers to improper fractions.

- \( 3 \frac{3}{4} = \frac{15}{4} \)
- \( 2 \frac{1}{3} = \frac{7}{3} \)

Now, divide these fractions:
\[
\frac{15}{4} \div \frac{7}{3} = \frac{15}{4} \times \frac{3}{7} = \frac{45}{28}
\]

### 2. **Subtract the fraction**:
\[
\frac{45}{28} - \frac{5}{6}
\]

To subtract, we need a common denominator. The least common denominator (LCD) of 28 and 6 is 84. Rewrite both fractions with denominator 84:

\[
\frac{45}{28} = \frac{135}{84}, \quad \frac{5}{6} = \frac{70}{84}
\]

Now subtract:
\[
\frac{135}{84} - \frac{70}{84} = \frac{65}{84}
\]

Thus, the result of the expression is:

\[
\boxed{\frac{65}{84}}
\]

Would you like a detailed breakdown of any step? Here are some related questions you might consider:

1. How do you convert mixed numbers to improper fractions?
2. What are the steps to divide two fractions?
3. How do you find the least common denominator for two fractions?
4. Why do you multiply by the reciprocal when dividing fractions?
5. How do you simplify fractions after performing operations?

**Tip**: Always ensure the denominators are the same before adding or subtracting fractions!

Solve the following expression: (3 3/4) ÷ (2 1/3) - 5/6

Learn how to simplify a complex fractional expression by converting mixed numbers to improper fractions, dividing fractions, and subtracting them. This guide breaks down the steps to solve (3 3/4) ÷ (2 1/3) - 5/6, perfect for students in 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