Converting 5÷9 into Its Fraction Form: Step-by-Step Division

Q: Why does 5÷9 become 5/9 and not 9/5?

In division, the dividend (number being divided) becomes the numerator, and the divisor (number you're dividing by) becomes the denominator. So 5÷9 means 5 divided by 9, which is $ \frac{5}{9} $.

Q: Is 5/9 already in simplest form?

Yes! Since 5 and 9 share no common factors other than 1 (5 is prime and doesn't divide 9), the fraction $ \frac{5}{9} $ is already in its simplest form.

Q: Can I convert this to a decimal instead?

Absolutely! $ \frac{5}{9} $ equals 0.555... (repeating). However, the exact fraction form is often more useful in mathematics because it shows the precise relationship.

Q: What if the division was 9÷5 instead?

Then you'd get $ \frac{9}{5} $, which equals 1.8 as a decimal. Remember: the order matters! The first number always goes on top in the fraction.

Q: How do I remember which number goes where?

Use this memory trick: "Dividend goes on top, divisor drops to bottom!" Or think of it as a÷b = a/b - the order stays exactly the same.

Division to Fractions with Basic Conversion

What fraction results from dividing 5 by 9?

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Step-by-step video solution

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00:03 Let's find the fraction together.

00:09 Write the division as a fraction.

00:15 Great job! That's the solution to our question.

Step-by-step written solution

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Understand the problem

What fraction results from dividing 5 by 9?

Step-by-step solution

Let's begin by writing the division exercise:

$5:9$

We can now proceed to write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

$\frac{5}{9}$

Final Answer

$\frac{5}{9}$

Key Points to Remember

Essential concepts to master this topic

Rule: Division a÷b creates fraction with a as numerator, b as denominator
Technique: Write 5÷9 as $\frac{5}{9}$ directly from division
Check: Verify $\frac{5}{9} \times 9 = 5$ matches original dividend ✓

Common Mistakes

Avoid these frequent errors

Flipping numerator and denominator positions
Don't write 5÷9 as $\frac{9}{5}$ = 1.8 instead of 0.556! This reverses the division and gives the reciprocal. Always remember: first number (dividend) goes on top, second number (divisor) goes 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 5÷9 become 5/9 and not 9/5?

In division, the dividend (number being divided) becomes the numerator, and the divisor (number you're dividing by) becomes the denominator. So 5÷9 means 5 divided by 9, which is $\frac{5}{9}$ .

Is 5/9 already in simplest form?

Yes! Since 5 and 9 share no common factors other than 1 (5 is prime and doesn't divide 9), the fraction $\frac{5}{9}$ is already in its simplest form.

Can I convert this to a decimal instead?

Absolutely! $\frac{5}{9}$ equals 0.555... (repeating). However, the exact fraction form is often more useful in mathematics because it shows the precise relationship.

What if the division was 9÷5 instead?

Then you'd get $\frac{9}{5}$ , which equals 1.8 as a decimal. Remember: the order matters! The first number always goes on top in the fraction.

How do I remember which number goes where?

Use this memory trick: "Dividend goes on top, divisor drops to bottom!" Or think of it as a÷b = a/b - the order stays exactly the same.

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