Simplify the Fraction: Converting 12/300 to Its Simplest Form

12300= ? \frac{12}{300}=\text{ ?}

❤️ 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
00:03 Let's convert it to a decimal fraction. Ready?
00:08 First, change the fraction so the bottom number is a multiple of 10.
00:13 Make sure to divide both the top and bottom numbers equally.
00:17 Next, write down the top number just as it is.
00:22 Now, move the decimal point to the left, based on the number of zeros.
00:27 Here, we have two zeros, so move the decimal point two places left.
00:35 And that's the answer to our question! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

12300= ? \frac{12}{300}=\text{ ?}

2

Step-by-step solution

First we will divide both the numerator and denominator by 3 to get 100 in the denominator:

12:3300:3=4100 \frac{12:3}{300:3}=\frac{4}{100}

Now we'll rewrite the simple fraction as a decimal fraction:

4.0 4.0

Since the fraction divides by 100, we'll move the decimal point two places to the left:

.040 .040

Now we will add the zero before the decimal point to get:

0.040=0.04 0.040=0.04

3

Final Answer

0.04

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

\( \frac{5}{100}= \)

🌟 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

Converting Decimal Fractions to Simple Fractions and Mixed Numbers

Convert the Fraction: Finding the Decimal Value of 11/1000
Click to solve
Convert Fraction to Decimal: Solving 300/1000
Click to solve