Compare Fraction and Decimal: 3/50 vs 0.06

Choose the appropriate sign (?):

350?0.06 \frac{3}{50}?0.06

❤️ 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
00:00 Choose the appropriate sign
00:03 Expand the fraction so the denominator equals 100
00:09 Make sure to multiply both numerator and denominator
00:19 Now let's convert from fraction to decimal
00:22 Write the numerator as a whole number
00:26 When denominator equals 100, move the decimal point 2 places left
00:34 Place the decimal instead of the fraction, and compare
00:38 Choose the correct sign
00:41 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

Choose the appropriate sign (?):

350?0.06 \frac{3}{50}?0.06

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the fraction 350 \frac{3}{50} to a decimal.
  • Step 2: Compare the decimal value of 350 \frac{3}{50} to 0.06 0.06 .
  • Step 3: Determine the correct comparison sign.

Now, let's work through each step:

Step 1: Convert 350\frac{3}{50} to a decimal. This is done by dividing 3 by 50:

350=0.06\frac{3}{50} = 0.06

Step 2: Compare the decimal value 0.060.06 to 0.060.06.

Since both decimal values are the same, the two expressions are equal.

Step 3: Therefore, the comparison sign that satisfies the condition is ==.

Thus, the correct answer to the problem is =.

3

Final Answer

=

Practice Quiz

Test your knowledge with interactive questions

How much of the whole does the shaded area (blue) represent?

🌟 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