Converting the Fraction 47/100 to Decimal Form: Step-by-Step

Q: What if my fraction doesn't have 100 as the denominator?

You can still convert! Either use long division or find an equivalent fraction with a denominator that's a power of 10 (like 10, 100, 1000). For example: $ \frac{1}{4} = \frac{25}{100} = 0.25 $

Q: Do I need to write trailing zeros like 0.470?

No! Trailing zeros after the decimal point don't change the value. $ 0.47 = 0.470 = 0.4700 $. Write the simplest form: 0.47.

Q: How do I remember which direction to move the decimal?

Think of it this way: dividing makes numbers smaller, so the decimal moves left. Multiplying makes numbers larger, so decimal moves right. Dividing by 100? Move left 2 places!

Q: What does the decimal 0.47 actually mean?

0.47 means 47 hundredths. The first digit after the decimal is tenths place (4 tenths), and the second digit is hundredths place (7 hundredths). So 0.47 = 4 tenths + 7 hundredths = 47 hundredths.

Fraction to Decimal with Hundredths Place

Write the following fraction as a decimal:

$\frac{47}{100}=$

❤️ 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 According to the denominator, move the decimal point

00:10 When the denominator equals 100, move the point two places 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:

$\frac{47}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$47.0$

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

$.470$

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

$0.470=0.47$

Final Answer

0.47

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with denominator 100 convert directly to decimals
Technique: Move decimal point two places left: 47/100 = 0.47
Check: Verify 0.47 × 100 = 47 to confirm conversion ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point in wrong position
Don't put the decimal after the first digit like 4.7 = wrong answer! This makes the number 10 times too large. Always move the decimal point two places left from the whole number when dividing by 100.

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 does dividing by 100 move the decimal two places left?

Each place value represents a power of 10. Dividing by 100 (which is 10²) moves the decimal two places left. Think: 47 ÷ 100 = 0.47, just like 470 ÷ 100 = 4.7.

What if my fraction doesn't have 100 as the denominator?

You can still convert! Either use long division or find an equivalent fraction with a denominator that's a power of 10 (like 10, 100, 1000). For example: $\frac{1}{4} = \frac{25}{100} = 0.25$

Do I need to write trailing zeros like 0.470?

No! Trailing zeros after the decimal point don't change the value. $0.47 = 0.470 = 0.4700$ . Write the simplest form: 0.47.

How do I remember which direction to move the decimal?

Think of it this way: dividing makes numbers smaller, so the decimal moves left. Multiplying makes numbers larger, so decimal moves right. Dividing by 100? Move left 2 places!

What does the decimal 0.47 actually mean?

0.47 means 47 hundredths. The first digit after the decimal is tenths place (4 tenths), and the second digit is hundredths place (7 hundredths). So 0.47 = 4 tenths + 7 hundredths = 47 hundredths.

🌟 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