Simplify 8/16 to an Equivalent Fraction with Denominator 8

Q: How do I know what number to divide by?

Look at your target denominator! Ask yourself: what number divides the original denominator to give me the target? For $ \frac{8}{16} $ to denominator 8, you need 16÷2=8, so divide by 2.

Q: What if I can't get exactly the target denominator?

This means the fractions aren't equivalent! For example, $ \frac{3}{9} $ cannot be written with denominator 4 because 9 doesn't divide evenly into a multiple of 4.

Q: Can I multiply instead of divide to reach my target?

Sometimes yes! If you need a larger denominator, multiply both parts by the same number. For $ \frac{1}{2} $ to denominator 8: multiply by 4 to get $ \frac{4}{8} $.

Q: How can I check if my answer is correct?

Convert both fractions to decimal form! $ \frac{8}{16} = 0.5 $ and $ \frac{4}{8} = 0.5 $. Same decimal = equivalent fractions!

Q: What if both numbers don't divide evenly?

You might need to simplify first! Find the GCD of the numerator and denominator, then see if the simplified fraction can reach your target denominator.

Fraction Simplification with Target Denominators

Simplify the fraction below to the denominator 8:

$\frac{8}{16}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Reduce the fraction to denominator of 8

00:03 Divide the fraction by the appropriate factor

00:06 Make sure to divide both numerator and denominator

00:09 Calculate the quotients

00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Simplify the fraction below to the denominator 8:

$\frac{8}{16}$

Step-by-step solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 16, gives us a result of 8:

$\frac{8:2}{16:2}=\frac{4}{8}$

Final Answer

$\frac{4}{8}$

Key Points to Remember

Essential concepts to master this topic

Rule: Divide both numerator and denominator by the same number
Technique: Find what number divides 16 to get 8 (16÷2=8)
Check: Verify equivalent fractions have the same decimal value: 8/16 = 4/8 = 0.5 ✓

Common Mistakes

Avoid these frequent errors

Only dividing the denominator to reach target
Don't just divide 16 by 2 to get 8 and keep numerator as 8 = wrong fraction 8/8! This changes the fraction's value completely. Always divide both numerator and denominator by the same number to maintain equivalence.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

How do I know what number to divide by?

Look at your target denominator! Ask yourself: what number divides the original denominator to give me the target? For $\frac{8}{16}$ to denominator 8, you need 16÷2=8, so divide by 2.

What if I can't get exactly the target denominator?

This means the fractions aren't equivalent! For example, $\frac{3}{9}$ cannot be written with denominator 4 because 9 doesn't divide evenly into a multiple of 4.

Can I multiply instead of divide to reach my target?

Sometimes yes! If you need a larger denominator, multiply both parts by the same number. For $\frac{1}{2}$ to denominator 8: multiply by 4 to get $\frac{4}{8}$ .

How can I check if my answer is correct?

Convert both fractions to decimal form! $\frac{8}{16} = 0.5$ and $\frac{4}{8} = 0.5$ . Same decimal = equivalent fractions!

What if both numbers don't divide evenly?

You might need to simplify first! Find the GCD of the numerator and denominator, then see if the simplified fraction can reach your target denominator.

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