14$$ \frac{\placeholder{}}{\placeholder{}} $$4= 3 how explain 

It seems like you're asking how the equation $ 14 \div 4 = 3 $ works out, possibly in the context of converting an improper fraction to a mixed number. Let's break it down:

### Understanding the Division
1. **Division Interpretation**: The equation $ 14 \div 4 = 3 $ implies that when you divide 14 by 4, the quotient (the number of times 4 fits into 14) is 3.

2. **Remainder**: However, 4 does not perfectly divide into 14. The product of 3 and 4 is 12, which is less than 14. The difference between 14 and 12 is 2. This difference is called the remainder.

### Expressing as a Mixed Fraction
- **Quotient**: The quotient is 3.
- **Remainder**: The remainder is 2.
- **Denominator**: The original divisor, which is 4.

So, $ 14 \div 4 = 3 $ with a remainder of 2 can be expressed as:

\[
14 \div 4 = 3 \frac{2}{4}
\]

This can also be written as $ 3 \frac{1}{2} $ after simplifying the fraction.

### Explanation
- The equation shows that $ 14 \div 4 $ gives a quotient of 3.
- The remainder, which is not expressed in the initial equation, is what forms the fractional part $ \frac{2}{4} $, which simplifies to $ \frac{1}{2} $.
- Therefore, the full mixed number expression of $ 14 \div 4 $ is $ 3 \frac{1}{2} $.

Would you like more details or have any questions?

Here are some related questions:

1. How do you find the remainder in division?
2. What is a mixed fraction?
3. How do you convert improper fractions to mixed fractions?
4. How can you simplify a fraction like $ \frac{2}{4} $ to its lowest terms?
5. What is the difference between a quotient and a remainder?

**Tip:** Always check the remainder when dividing to see if the result can be expressed as a mixed fraction.

Explore how division works with mixed numbers. Learn about converting 14 divided by 4 into the mixed number 3 1/2. This explanation covers key concepts in division, mixed numbers, and fractions, suitable for Grades 4-6 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation