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

Question

Simplify the following expression:

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

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.

Let's first write the exercise as a fraction:

$\frac{34a}{8a\times4b}=$

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

$\frac{34}{8\times4b}=$

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

$\frac{17\times2}{8\times4b}=$

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

$\frac{17\times2}{8\times2\times2b}=$

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

$\frac{17}{8\times2b}=\frac{17}{16b}$

$\frac{17}{16}a$