3. [tex]$\frac{3}{6} \div 2 \frac{1}{2}=[/tex]
4. [tex]$2 \frac{1}{4} \div 3 \frac{4}{5}=[/tex]
5. [tex]$1 \frac{3}{6} \div 2 \frac{1}{2}=[/tex]

Convert mixed numbers to improper fractions.
Divide the fractions by multiplying by the reciprocal.
Simplify the resulting fraction.
Present the answer as a mixed number or a proper/improper fraction: Problem 3: 1 u n g 4 5 , Problem 4: 76 45 ​ , Problem 5: 5 3 ​ .

P ro b l e m 3 : 1 5 4 ​ , P ro b l e m 4 : 76 45 ​ , P ro b l e m 5 : 5 3 ​ ​
Explanation

Problem Analysis We are given three division problems involving mixed numbers. Our goal is to evaluate each expression and simplify the result. We will convert each mixed number to an improper fraction, perform the division by multiplying by the reciprocal, and then simplify the resulting fraction.

Solving Problem 3 For problem 3, we have 4 u n g 3 6 d i v 2 u n g 1 2 . First, convert the mixed numbers to improper fractions:


4 u n g 3 6 = 4 + u n g 3 6 = u n g 24 6 + u n g 3 6 = u n g 27 6 = u n g 9 2
2 u n g 1 2 = 2 + u n g 1 2 = u n g 4 2 + u n g 1 2 = u n g 5 2
Now, divide the fractions:
u n g 9 2 d i vu n g 5 2 = u n g 9 2 t im es u n g 2 5 = u n g 9 t im es 2 2 t im es 5 = u n g 18 10 = u n g 9 5
Convert the improper fraction back to a mixed number:
u n g 9 5 = 1 u n g 4 5

Solving Problem 4 For problem 4, we have 2 u n g 1 4 d i v 3 u n g 4 5 . First, convert the mixed numbers to improper fractions:

2 u n g 1 4 = 2 + u n g 1 4 = u n g 8 4 + u n g 1 4 = u n g 9 4
3 u n g 4 5 = 3 + u n g 4 5 = u n g 15 5 + u n g 4 5 = u n g 19 5
Now, divide the fractions:
u n g 9 4 d i vu n g 19 5 = u n g 9 4 t im es u n g 5 19 = u n g 9 t im es 5 4 t im es 19 = u n g 45 76

Solving Problem 5 For problem 5, we have 1 u n g 3 6 d i v 2 u n g 1 2 . First, convert the mixed numbers to improper fractions:

1 u n g 3 6 = 1 + u n g 3 6 = u n g 6 6 + u n g 3 6 = u n g 9 6 = u n g 3 2
2 u n g 1 2 = 2 + u n g 1 2 = u n g 4 2 + u n g 1 2 = u n g 5 2
Now, divide the fractions:
u n g 3 2 d i vu n g 5 2 = u n g 3 2 t im es u n g 2 5 = u n g 3 t im es 2 2 t im es 5 = u n g 6 10 = u n g 3 5

Final Answers Therefore, the solutions are:

Problem 3: 4 u n g 3 6 d i v 2 u n g 1 2 = 1 u n g 4 5
Problem 4: 2 u n g 1 4 d i v 3 u n g 4 5 = u n g 45 76
Problem 5: 1 u n g 3 6 d i v 2 u n g 1 2 = u n g 3 5
Examples
Understanding fraction division is crucial in many real-life scenarios. For instance, if you're baking and need to divide a recipe in half, you're essentially dividing fractions. Imagine you have 4 u n g 3 6 cups of flour and each cake requires 2 u n g 1 2 cups. Dividing 4 u n g 3 6 by 2 u n g 1 2 tells you how many cakes you can bake. Similarly, if you're splitting a pizza with 2 u n g 1 4 portions among 3 u n g 4 5 friends, you're performing fraction division to determine each person's share. These skills are fundamental in cooking, construction, and resource allocation, making the understanding of fraction division highly valuable.

Answered by GinnyAnswer | 2025-07-03

The answers to the problems are: Problem 3: 5 1 ​ , Problem 4: 76 45 ​ , and Problem 5: 5 3 ​ . Each problem required converting mixed numbers to improper fractions and performing division. This process involves using multiplication by the reciprocal and simplifying the final results.
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Answered by Anonymous | 2025-07-04