Convert the Fraction 66/100 to Decimal Form: Step-by-Step Solution

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

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

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

You can still convert! Either use long division, or first convert to an equivalent fraction with a power of 10 denominator (10, 100, 1000, etc.).

Q: Do I need to keep the trailing zeros like 0.660?

No! Trailing zeros after the decimal point don't change the value. $ 0.66 = 0.660 = 0.6600 $ are all equal, so use the simplest form: 0.66.

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

Think: dividing makes numbers smaller, so the decimal moves left. Multiplying makes numbers bigger, so it moves right. Dividing by 100 = move left 2 places.

Fraction to Decimal with Hundredths

Write the following fraction as a decimal:

$\frac{66}{100}=$

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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 to the left

00:19 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:

$\frac{66}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$66.0$

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

$.660$

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

$0.660=0.66$

Final Answer

0.66

Key Points to Remember

Essential concepts to master this topic

Rule: Denominators of 100 create decimals to hundredths place
Technique: Move decimal point 2 places left: 66/100 becomes 0.66
Check: Verify 0.66 × 100 = 66 to confirm conversion ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point right when dividing by 100 = makes number bigger instead of smaller! This gives 6600 instead of 0.66. Always move the decimal point 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. For 10, move 1 place left. For 100, move 2 places left. For 1000, move 3 places left.

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

You can still convert! Either use long division, or first convert to an equivalent fraction with a power of 10 denominator (10, 100, 1000, etc.).

Do I need to keep the trailing zeros like 0.660?

No! Trailing zeros after the decimal point don't change the value. $0.66 = 0.660 = 0.6600$ are all equal, so use the simplest form: 0.66.

How do I remember which way to move the decimal?

Think: dividing makes numbers smaller, so the decimal moves left. Multiplying makes numbers bigger, so it moves right. Dividing by 100 = move left 2 places.

What if I get confused about where to put the decimal?

Start by writing the numerator (66) with a decimal at the end: 66.0. Then count the zeros in the denominator and move left that many places. 100 has 2 zeros = move 2 left.

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