Converting 8 ÷ 13 into a Proper Fraction: Division Problem

Q: Why does 8 ÷ 13 equal 8/13 and not something else?

Division and fractions are two ways to express the same thing! The symbol ÷ and the fraction bar / both mean "divide the first number by the second number."

Q: Is 8/13 in its simplest form?

Yes! Since 8 and 13 don't share any common factors other than 1, the fraction $ \frac{8}{13} $ is already in lowest terms.

Q: How do I remember which number goes on top?

Think of it as "first number divided BY second number". In 8 ÷ 13, the 8 comes first, so it goes on top as the numerator.

Q: What type of fraction is 8/13?

This is a proper fraction because the numerator (8) is smaller than the denominator (13), making the value less than 1.

Q: Can I convert this to a decimal instead?

Yes! You can divide 8 ÷ 13 = 0.615384... but keeping it as $ \frac{8}{13} $ gives you the exact answer without rounding.

Division to Fraction Conversion with Proper Fractions

What fraction results from dividing 8 by 13?

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Step-by-step video solution

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00:00 Find the fraction

00:06 Write division as a fraction

00:11 And this is the solution to the question

Step-by-step written solution

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Understand the problem

What fraction results from dividing 8 by 13?

Step-by-step solution

Let's write out the division exercise:

$8:13$

Now let's write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

$\frac{8}{13}$

Final Answer

$\frac{8}{13}$

Key Points to Remember

Essential concepts to master this topic

Rule: Division a ÷ b equals fraction a/b with same numbers
Technique: Place dividend 8 as numerator, divisor 13 as denominator
Check: Verify $\frac{8}{13}$ cannot be simplified further since 8 and 13 share no common factors ✓

Common Mistakes

Avoid these frequent errors

Flipping the numerator and denominator positions
Don't write 13/8 when dividing 8 ÷ 13 = wrong fraction with value greater than 1! This reverses the division operation completely. Always put the dividend (first number) on top and divisor (second number) on bottom.

Practice Quiz

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Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why does 8 ÷ 13 equal 8/13 and not something else?

Division and fractions are two ways to express the same thing! The symbol ÷ and the fraction bar / both mean "divide the first number by the second number."

Is 8/13 in its simplest form?

Yes! Since 8 and 13 don't share any common factors other than 1, the fraction $\frac{8}{13}$ is already in lowest terms.

How do I remember which number goes on top?

Think of it as "first number divided BY second number". In 8 ÷ 13, the 8 comes first, so it goes on top as the numerator.

What type of fraction is 8/13?

This is a proper fraction because the numerator (8) is smaller than the denominator (13), making the value less than 1.

Can I convert this to a decimal instead?

Yes! You can divide 8 ÷ 13 = 0.615384... but keeping it as $\frac{8}{13}$ gives you the exact answer without rounding.

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