Solve Division Problem: Converting 2÷10 into a Fraction

Q: Why do I write the first number on top and second on bottom?

In division $ a ÷ b $, the dividend (first number) becomes the numerator and the divisor (second number) becomes the denominator. So $ 2 ÷ 10 = \frac{2}{10} $.

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

Find the Greatest Common Factor (GCF) of the numerator and denominator. For $ \frac{2}{10} $, both 2 and 10 are divisible by 2, so divide both by 2.

Q: Is 1/5 the same as 0.2?

Yes! $ \frac{1}{5} = 0.2 $ because $ 1 ÷ 5 = 0.2 $. Fractions and decimals are just different ways to express the same value.

Q: What if the numbers don't divide evenly when simplifying?

Look for common factors first. If there are none, the fraction is already in simplest form. For example, $ \frac{3}{7} $ cannot be simplified further.

Q: Can I write this as a mixed number?

Since $ \frac{1}{5} $ is less than 1 (numerator smaller than denominator), it's called a proper fraction and doesn't need to be written as a mixed number.

Division to Fractions with Simplification

What fraction results from dividing 2 by 10?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the fraction

00:05 Write division as a fraction

00:11 Let's reduce the fraction, make sure to divide both numerator and denominator

00:27 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

What fraction results from dividing 2 by 10?

Step-by-step solution

Let's write the division exercise:

$2:10$

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

$\frac{2}{10}$

We'll divide both the numerator and denominator by a number that divides into both of them, in this case, the number is 2:

$\frac{2:2}{10:2}=\frac{1}{5}$

Final Answer

$\frac{1}{5}$

Key Points to Remember

Essential concepts to master this topic

Division Rule: Write dividend over divisor to form a fraction
Technique: Convert $2÷10$ to $\frac{2}{10}$ then simplify
Check: Verify $\frac{1}{5} × 10 = 2$ gives original dividend ✓

Common Mistakes

Avoid these frequent errors

Forgetting to simplify the resulting fraction
Don't leave $\frac{2}{10}$ as your final answer = incorrect form! This fraction isn't in lowest terms and looks messy. Always divide both numerator and denominator by their greatest common factor to get $\frac{1}{5}$ .

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

Why do I write the first number on top and second on bottom?

In division $a ÷ b$ , the dividend (first number) becomes the numerator and the divisor (second number) becomes the denominator. So $2 ÷ 10 = \frac{2}{10}$ .

How do I know what number to divide by to simplify?

Find the Greatest Common Factor (GCF) of the numerator and denominator. For $\frac{2}{10}$ , both 2 and 10 are divisible by 2, so divide both by 2.

Is 1/5 the same as 0.2?

Yes! $\frac{1}{5} = 0.2$ because $1 ÷ 5 = 0.2$ . Fractions and decimals are just different ways to express the same value.

What if the numbers don't divide evenly when simplifying?

Look for common factors first. If there are none, the fraction is already in simplest form. For example, $\frac{3}{7}$ cannot be simplified further.

Can I write this as a mixed number?

Since $\frac{1}{5}$ is less than 1 (numerator smaller than denominator), it's called a proper fraction and doesn't need to be written as a mixed number.

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