Convert Fraction to Decimal: Solving 50/100 Step-by-Step

Q: Why do I move the decimal point 2 places for 100?

Because 100 has 2 zeros! Each zero represents one decimal place to move. For 10 (1 zero), move 1 place. For 1000 (3 zeros), move 3 places.

Q: What if my fraction doesn't have zeros in the numerator?

No problem! For example, $ \frac{7}{100} $ becomes 0.07. Just add zeros as placeholders when needed: 7.00 → 0.07

Q: How do I know where to put the decimal point?

Start with your numerator as a whole number, then count the zeros in the denominator. Move the decimal point that many places to the left.

Q: Can I simplify the fraction first?

Yes! $ \frac{50}{100} = \frac{1}{2} $, and $ \frac{1}{2} = 0.5 $. Both methods give the same answer, so use whichever feels easier!

Q: What if I get extra zeros at the end?

You can drop trailing zeros after the decimal point. So 0.500 = 0.50 = 0.5. They all mean the same thing!

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{50}{100}=$

❤️ 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 Convert to decimal fraction

00:03 In a decimal fraction, take the numerator as a number

00:06 And according to the denominator, move the decimal point

00:12 When the denominator equals 100, move the decimal point twice to the left

00:17 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following fraction as a decimal:

$\frac{50}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$50.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.500$

We'll add the zero before the decimal point and get:

$0.500=0.5$

Final Answer

0.5

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by powers of 10 moves decimal left
Technique: $\frac{50}{100}$ means 50 ÷ 100 = move decimal 2 places left
Check: Verify 0.5 × 100 = 50 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 100 = 5.0 instead of 0.5! Moving right makes numbers bigger, but dividing should make them smaller. Always move decimal left when dividing by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why do I move the decimal point 2 places for 100?

Because 100 has 2 zeros! Each zero represents one decimal place to move. For 10 (1 zero), move 1 place. For 1000 (3 zeros), move 3 places.

What if my fraction doesn't have zeros in the numerator?

No problem! For example, $\frac{7}{100}$ becomes 0.07. Just add zeros as placeholders when needed: 7.00 → 0.07

How do I know where to put the decimal point?

Start with your numerator as a whole number, then count the zeros in the denominator. Move the decimal point that many places to the left.

Can I simplify the fraction first?

Yes! $\frac{50}{100} = \frac{1}{2}$ , and $\frac{1}{2} = 0.5$ . Both methods give the same answer, so use whichever feels easier!

What if I get extra zeros at the end?

You can drop trailing zeros after the decimal point. So 0.500 = 0.50 = 0.5. They all mean the same thing!

🌟 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