Solve the Fraction Equation: Finding the Denominator in 16ab/? = 8a

Question

Complete the corresponding expression for the denominator

$\frac{16ab}{?}=8a$

00:06 First, we need to finish setting up the denominator.

00:11 To make it easier, we'll multiply everything by the denominator to get rid of it.

00:21 Now, let's focus on isolating the denominator step by step.

00:33 Next, we'll simplify everything we can.

00:36 We'll break down sixteen into factors. It becomes eight times two.

00:42 Let's see what else can be simplified.

00:50 And that gives us our final answer! Well done!

Using the formula:

$\frac{x}{y}=\frac{z}{w}\xrightarrow{}x\cdot y=z\cdot y$

We first convert the 8 into a fraction, and multiply

$\frac{16ab}{?}=\frac{8}{1}$

$16ab\times1=8a$

$16ab=8a$

We then divide both sides by 8a:

$\frac{16ab}{8a}=\frac{8a}{8a}$

$2b$

$2b$