Simplify the Expression: 34a/(8a·4b) Step-by-Step Solution

Simplify the following expression:

34a/(8a4b)=? 34a/(8a\cdot4b)=\text{?}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem together.
00:11 First, write division as a fraction. Ready?
00:17 Great! Now, reduce any parts that you can.
00:20 Break down thirty four into the factors seventeen and two.
00:29 Next, break down four into the factors two and two.
00:36 Let's reduce again. Can you see what simplifies?
00:45 And there you have it! That's the solution to the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Simplify the following expression:

34a/(8a4b)=? 34a/(8a\cdot4b)=\text{?}

2

Step-by-step solution

Let's first write the exercise as a fraction:

34a8a×4b= \frac{34a}{8a\times4b}=

We'll reduce between the a in both the numerator and the denominator of the fraction:

348×4b= \frac{34}{8\times4b}=

Let's proceed to write the 34 in the numerator of the fraction as a smaller multiplication exercise:

17×28×4b= \frac{17\times2}{8\times4b}=

Let's write the 4 in the denominator of the fraction as a smaller multiplication exercise:

17×28×2×2b= \frac{17\times2}{8\times2\times2b}=

We'll reduce between the 2 in the numerator and denominator of the fraction:

178×2b=1716b \frac{17}{8\times2b}=\frac{17}{16b}

3

Final Answer

1716a \frac{17}{16}a

Practice Quiz

Test your knowledge with interactive questions

\( 100-(5+55)= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations