https://file.aiquickdraw.com/mathbot/file/1726785790884hcvyi2vl.jpg

In the image, the math problem involves dividing mixed numbers using fractions. Specifically, the expression given is \(4 \frac{1}{4} \div \frac{3}{4}\), and the goal is to determine how many groups of \(\frac{3}{4}\) fit into \(4 \frac{1}{4}\). Here's how to approach it:

1. **Mixed Number to Improper Fraction**:
   Convert \(4 \frac{1}{4}\) into an improper fraction.
   \[
   4 \frac{1}{4} = \frac{17}{4}
   \]

2. **Division of Fractions**:
   Now, divide \(\frac{17}{4}\) by \(\frac{3}{4}\). To divide by a fraction, you multiply by the reciprocal:
   \[
   \frac{17}{4} \div \frac{3}{4} = \frac{17}{4} \times \frac{4}{3} = \frac{17 \times 4}{4 \times 3} = \frac{17}{3}
   \]

3. **Quotient**:
   The quotient is \(\frac{17}{3}\), which equals \(5 \frac{2}{3}\). This means \(5\) whole groups of \(\frac{3}{4}\) fit into \(4 \frac{1}{4}\), with \( \frac{2}{3} \) of another group fitting in.

### Answers to the Boxes:
- **Dividend**: \( 4 \frac{1}{4} \)
- **Divisor**: \( \frac{3}{4} \)
- **Whole Groups**: 5
- **Remainder**: \( \frac{2}{3} \)

Would you like a more detailed explanation or further clarifications?

### Related Questions:
1. How do you convert mixed numbers to improper fractions?
2. What is the process for dividing fractions?
3. How do you simplify fractions after multiplying?
4. What does the quotient represent in division of fractions?
5. Can you explain how to find the remainder in a division problem involving fractions?

**Tip**: Always remember to multiply by the reciprocal when dividing fractions.

This model shows 4 1/4 ÷ 3/4. The division expression 4 1/4 ÷ 3/4 asks, 'How many groups of 3/4 are in 4 1/4?'

Learn how to solve the fraction division problem 4 1/4 ÷ 3/4. This problem covers key concepts of converting mixed numbers to improper fractions and dividing fractions, with a detailed step-by-step explanation suitable 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