Simplify the Fraction: Finding the Value of 2/4

Fraction Comparison with Whole Number Boundaries

The number 24 \frac{2}{4} is found...

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the range where the number is located
00:04 The number is definitely greater than 0
00:08 Set range in common denominator (4)
00:12 According to the numerator, the number will be smaller or larger than the given number
00:16 Let's reduce as much as possible
00:32 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The number 24 \frac{2}{4} is found...

2

Step-by-step solution

Let's first try to understand what is greater and smaller than the number 24 \frac{2}{4} .

Since the denominator is 4, both the larger and smaller numbers will also have a denominator of 4:

?4<24<?4 \frac{?}{4}<\frac{2}{4}<\frac{?}{4}

Now let's complete the numerators with numbers that will help us reach whole numbers in fractions as follows:

04<24<44 \frac{0}{4}<\frac{2}{4}<\frac{4}{4}

Let's now simplify the fractions as follows:

04=0 \frac{0}{4}=0

4:44:4=11=1 \frac{4:4}{4:4}=\frac{1}{1}=1

Therefore, the answer is:

0<24<1 0<\frac{2}{4}<1

3

Final Answer

...between 0 0 to 1 1 .

Key Points to Remember

Essential concepts to master this topic
  • Simplification Rule: Reduce fractions to lowest terms before comparing values
  • Technique: Find equivalent fractions: 24=12=0.5 \frac{2}{4} = \frac{1}{2} = 0.5
  • Check: Verify placement: 0 < 0.5 < 1 confirms answer is correct ✓

Common Mistakes

Avoid these frequent errors
  • Not simplifying fractions before comparison
    Don't compare 24 \frac{2}{4} directly without simplifying = confusion about actual value! This makes it harder to see that it equals 0.5. Always simplify fractions to lowest terms first: 24=12 \frac{2}{4} = \frac{1}{2} .

Practice Quiz

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What number is marked on the number axis?

000111

FAQ

Everything you need to know about this question

How do I know what 24 \frac{2}{4} equals as a decimal?

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Divide the numerator by the denominator: 2 ÷ 4 = 0.5. This makes it easier to see where the fraction falls on a number line!

Why is 24 \frac{2}{4} between 0 and 1?

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Since the numerator (2) is smaller than the denominator (4), the fraction represents part of a whole, not a complete whole or more. This means it must be less than 1.

Can I convert this to a simpler fraction?

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Yes! Divide both numerator and denominator by their greatest common factor: 24=2÷24÷2=12 \frac{2}{4} = \frac{2÷2}{4÷2} = \frac{1}{2} . This makes comparisons much easier!

How do I find what whole numbers a fraction is between?

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Look at fractions with the same denominator that equal whole numbers. For fourths: 04=0 \frac{0}{4} = 0 and 44=1 \frac{4}{4} = 1 , so 24 \frac{2}{4} is between them.

What if the fraction was bigger than 1?

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If the numerator is larger than the denominator (like 54 \frac{5}{4} ), then the fraction is greater than 1. It would be an improper fraction.

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