Convert Decimal 0.75 to Simplified Fraction Form

Q: How do I know what number to put in the denominator?

Count the decimal places! One decimal place = 10, two decimal places = 100, three decimal places = 1000. Since 0.75 has two decimal places, use 100 as your denominator.

Q: What's the easiest way to find the GCD of 75 and 100?

List the factors! 75: 1, 3, 5, 15, 25, 75 and 100: 1, 2, 4, 5, 10, 20, 25, 50, 100. The largest common factor is 25.

Q: How do I check if my simplified fraction is correct?

Divide the numerator by denominator: 3 ÷ 4 = 0.75. If you get back your original decimal, you're right!

Q: What if the decimal has more than 2 places?

0.375 has 3 places → $ \frac{375}{1000} $0.1234 has 4 places → $ \frac{1234}{10000} $Then simplify by finding the GCD!

Decimal to Fraction with Simplification

Write the following decimal as a fraction and simplify:

$0.75$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 First, let's change it to a simple fraction and reduce as much as possible.

00:10 Take the digits after the decimal point and write them as a whole number.

00:15 Now, count these digits to find out what the denominator should be.

00:20 Since there are two digits after the decimal point, our denominator is one hundred.

00:25 Next, divide the fraction by its greatest common factor.

00:30 Remember to divide both the numerator and the denominator by this number.

00:35 Now, calculate the quotients to simplify the fraction.

00:39 And that's how we find the solution to the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following decimal as a fraction and simplify:

$0.75$

Step-by-step solution

Since there are two digits after the decimal point, we divide 75 by 100:

$\frac{75}{100}$

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 25, so:

$\frac{75:25}{100:25}=\frac{3}{4}$

Final Answer

$\frac{3}{4}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Decimal places determine the denominator power of ten
Technique: Two decimal places means divide by 100: $\frac{75}{100}$
Check: Verify by dividing: $\frac{3}{4} = 0.75$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to simplify the fraction
Don't leave $\frac{75}{100}$ as your final answer = unsimplified fraction! This isn't wrong but incomplete, like leaving 6/8 instead of 3/4. Always find the GCD and divide both numerator and denominator by it.

Practice Quiz

Test your knowledge with interactive questions

Simplify the following fraction by a factor of 4:

$\frac{4}{8}=$

FAQ

Everything you need to know about this question

How do I know what number to put in the denominator?

Count the decimal places! One decimal place = 10, two decimal places = 100, three decimal places = 1000. Since 0.75 has two decimal places, use 100 as your denominator.

What's the easiest way to find the GCD of 75 and 100?

List the factors! 75: 1, 3, 5, 15, 25, 75 and 100: 1, 2, 4, 5, 10, 20, 25, 50, 100. The largest common factor is 25.

Can I convert 0.75 to a fraction differently?

Yes! You could recognize that 0.75 = 75 cents = 3 quarters = $\frac{3}{4}$ of a dollar. But the standard method using place value works for any decimal.

How do I check if my simplified fraction is correct?

Divide the numerator by denominator: 3 ÷ 4 = 0.75. If you get back your original decimal, you're right!

What if the decimal has more than 2 places?

0.375 has 3 places → $\frac{375}{1000}$
0.1234 has 4 places → $\frac{1234}{10000}$
Then simplify by finding the GCD!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Convert Decimal 0.75 to Simplified Fraction Form

Decimal to Fraction with Simplification

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

How do I know what number to put in the denominator?

What's the easiest way to find the GCD of 75 and 100?

Can I convert 0.75 to a fraction differently?

How do I check if my simplified fraction is correct?

What if the decimal has more than 2 places?

🌟 Unlock Your Math Potential

More Questions

Reduce and Expand Simple Fractions

Multiply Fraction 9/10 by Scale Factor 8: Step-by-Step Solution

Multiply 1/16 by a Factor of 10: Fraction Scaling Practice

Convert 0.8 to a Simplified Fraction: Step-by-Step Solution

Simplify the Fraction 8/24: Step-by-Step Reduction

Reduction and Expansion of Decimal Fractions

Reduce the Decimal 0.40 to Its Simplest Fraction Form

Convert Decimal to Fraction: Simplifying 0.25 to Lowest Terms

Convert 0.58 to a Simplified Fraction: Step-by-Step Solution

Decimal Comparison: Find the Missing Symbol Between 24.305 and 24.315