https://file.aiquickdraw.com/mathbot/file/172641273254481vpre7b.jpg

The image contains a set of expressions that need to be rewritten by showing all multiplication and division steps explicitly. Here are the expressions from the image:

1. \( \frac{5}{k} \)
2. \( \frac{g}{7} \)
3. \( \frac{n}{d} \)
4. \( \frac{5}{8m} \)
5. \( \frac{6}{11p} \)
6. \( \frac{5a}{6b} \)

Here’s how we can rewrite them, showing the multiplication and division clearly:

a) \( \frac{5}{k} \)  
    \[
    5 \div k
    \]
    
b) \( \frac{g}{7} \)  
    \[
    g \div 7
    \]

c) \( \frac{n}{d} \)  
    \[
    n \div d
    \]

d) \( \frac{5}{8m} \)  
    \[
    5 \div (8 \times m)
    \]

e) \( \frac{6}{11p} \)  
    \[
    6 \div (11 \times p)
    \]

f) \( \frac{5a}{6b} \)  
    \[
    (5 \times a) \div (6 \times b)
    \]

Would you like further details on any of these steps?

Here are five related questions for practice:
1. How would you rewrite \( \frac{7x}{3y} \)?
2. What happens if we multiply both sides of \( \frac{a}{b} \) by \( b \)?
3. How do you handle division in expressions involving multiple variables?
4. Can \( \frac{5a}{6b} \) be simplified further if \( a = 6 \) and \( b = 5 \)?
5. What’s the difference between division and multiplication of variables in algebra?

**Tip:** When simplifying algebraic expressions with fractions, remember that the fraction bar represents division, and you can multiply or divide both the numerator and denominator by the same number without changing the value.

Rewrite these expressions, showing all multiplication, division, etc.

Learn how to rewrite algebraic expressions by showing all multiplication and division steps explicitly. This exercise focuses on fraction operations and variable manipulation, perfect for middle school students learning the basics of algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation