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

Question

Simplify the following expression:

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

00:00 Solve

00:03 Let's write division as a fraction

00:09 Let's reduce what we can

00:12 Let's break down 34 into factors 17 and 2

00:21 Let's break down 4 into factors 2 and 2

00:28 Let's reduce what we can

00:37 And this is 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:

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

$\frac{17}{16}a$