Convert the Fraction 40/100 to Decimal Form: Step-by-Step Solution

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

Because 100 has two zeros! Each zero represents one decimal place. So dividing by 100 means moving the decimal point two places to the left.

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

You can still convert any fraction to decimal by dividing the numerator by the denominator. For example, $ \frac{3}{4} = 3 ÷ 4 = 0.75 $.

Q: Do I need to include trailing zeros like 0.40?

No! Trailing zeros after the decimal point don't change the value. So 0.40 = 0.4. You can write either form, but 0.4 is simpler.

Q: How is 40/100 the same as 4/10?

Both fractions are equivalent because you can simplify $ \frac{40}{100} $ by dividing both numerator and denominator by 10 to get $ \frac{4}{10} = 0.4 $.

Q: What's the fastest way to convert fractions with 10, 100, or 1000?

Use the decimal place rule: 10 = move 1 place left, 100 = move 2 places left, 1000 = move 3 places left. Count the zeros in the denominator!

Fraction to Decimal with Place Value

Write the following fraction as a decimal:

$\frac{40}{100}=$

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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

00:11 When the denominator equals 100, move the point two places to the left

00:16 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:

$\frac{40}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$40.0$

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

$.400$

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

$0.400=0.4$

Final Answer

0.4

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: Write 40.0 ÷ 100 = move decimal: 0.40
Check: Verify 0.4 × 100 = 40, confirming our conversion ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 100 = getting 400.0! This makes the number bigger instead of 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 two places for 100?

Because 100 has two zeros! Each zero represents one decimal place. So dividing by 100 means moving the decimal point two places to the left.

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

You can still convert any fraction to decimal by dividing the numerator by the denominator. For example, $\frac{3}{4} = 3 ÷ 4 = 0.75$ .

Do I need to include trailing zeros like 0.40?

No! Trailing zeros after the decimal point don't change the value. So 0.40 = 0.4. You can write either form, but 0.4 is simpler.

How is 40/100 the same as 4/10?

Both fractions are equivalent because you can simplify $\frac{40}{100}$ by dividing both numerator and denominator by 10 to get $\frac{4}{10} = 0.4$ .

What's the fastest way to convert fractions with 10, 100, or 1000?

Use the decimal place rule: 10 = move 1 place left, 100 = move 2 places left, 1000 = move 3 places left. Count the zeros in the denominator!

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