Convert Decimal 66.322 to Simplified Fraction: Step-by-Step Solution

Convert into a mixed fraction:

66.322 66.322

❤️ 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
00:04 Let's write this as a reduced, simplified fraction.
00:09 Divide each number after the decimal by the number it stands for.
00:13 Make sure to place the correct denominator.
00:17 Don't forget to add 66, so keep that in mind.
00:32 Reduce the fraction as much as possible. Divide both the top and bottom numbers.
00:50 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
1

Understand the problem

Convert into a mixed fraction:

66.322 66.322

2

Step-by-step solution

Let's write the decimal fraction as a mixed fraction.

Since there are 3 digits after the decimal point, we'll divide 322 by 1000 and 66, as follows:

66+3221000 66+\frac{322}{1000}

Now let's divide the simple fraction by the highest number that can divide both the numerator and denominator, in this case the number is 2:

66+322:21000:2=36+161500=66161500 66+\frac{322:2}{1000:2}=36+\frac{161}{500}=66\frac{161}{500}

3

Final Answer

66161500 66\frac{161}{500}

Practice Quiz

Test your knowledge with interactive questions

Reduce the following fraction:

\( 0.30 \)

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations

Reduction and Expansion of Decimal Fractions

Decimal Comparison: Find the Symbol Between 0.305 and 0.30
Click to solve
Compare Decimals: Find the Missing Sign Between 0.8 and 0.08
Click to solve