by what number should 6(2)/(9) be divided to obtain 4(2)/(3)

To solve the problem, let's first express the given expressions clearly:

You have \( \frac{6 \times 2}{9} \) and you need to find the number by which this expression should be divided to obtain \( \frac{4 \times 2}{3} \).

1. **Calculate the initial expression:**

\[
\frac{6 \times 2}{9} = \frac{12}{9} = \frac{4}{3}
\]

2. **Set up the equation:**

Let \( x \) be the number by which we need to divide \( \frac{4}{3} \) to obtain \( \frac{4 \times 2}{3} \).

So, we have:

\[
\frac{\frac{4}{3}}{x} = \frac{8}{3}
\]

3. **Solve for \( x \):**

\[
\frac{4}{3x} = \frac{8}{3}
\]

Multiply both sides by \( 3x \):

\[
4 = 8x
\]

Solve for \( x \):

\[
x = \frac{4}{8} = \frac{1}{2}
\]

So, the number by which \( \frac{6 \times 2}{9} \) should be divided to obtain \( \frac{4 \times 2}{3} \) is \( \frac{1}{2} \).

Would you like more details, or do you have any other questions?

Here are some related questions:
1. What is the value of \( \frac{12}{9} \) in simplest form?
2. How do you simplify fractions?
3. What happens if you multiply both numerator and denominator by the same number?
4. How do you solve an equation involving a fraction?
5. What is the process to convert a fraction to a decimal?
6. How do you find the reciprocal of a fraction?
7. What are some real-world applications of dividing fractions?
8. How can you check if your solution to a division problem is correct?

**Tip:** When dividing fractions, remember that dividing by a fraction is the same as multiplying by its reciprocal.

Learn how to solve the fraction division problem: by what number should 6(2)/(9) be divided to obtain 4(2)/(3)? Step-by-step solution provided, covering basic fraction operations and division concepts. 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