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

Complete the corresponding expression for the denominator

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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!

Step-by-step written solution

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1

Understand the problem

Complete the corresponding expression for the denominator

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

2

Step-by-step solution

Using the formula:

xy=zw→x⋅y=z⋅y \frac{x}{y}=\frac{z}{w}\xrightarrow{}x\cdot y=z\cdot y

We first convert the 8 into a fraction, and multiply

16ab?=81 \frac{16ab}{?}=\frac{8}{1}

16ab×1=8a 16ab\times1=8a

16ab=8a 16ab=8a

We then divide both sides by 8a:

16ab8a=8a8a \frac{16ab}{8a}=\frac{8a}{8a}

2b 2b

3

Final Answer

2b 2b

Practice Quiz

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Determine if the simplification below is correct:

\( \frac{4\cdot8}{4}=\frac{1}{8} \)

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