Converting 85/100: Fraction to Decimal Transformation

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

Because 100 has two zeros! Each zero represents one decimal place movement. For 10 (one zero), move one place. For 1000 (three zeros), move three places.

Q: What if I don't see a decimal point in 85?

Every whole number has an invisible decimal point at the end! So 85 is really 85.0, and you can move that decimal point left as needed.

Q: Can I just write 0.850 instead of 0.85?

Yes! $ 0.850 = 0.85 $ because trailing zeros after the decimal don't change the value. Both are mathematically correct.

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

Think smaller! When dividing by 10, 100, or 1000, your answer should be smaller than the original number, so move the decimal left.

Q: What if the fraction doesn't have 10 or 100 in the denominator?

Use long division instead! Divide the numerator by the denominator: 85 ÷ 100 = 0.85. This method works for any fraction.

Fraction to Decimal with Division by Powers

Convert the fraction $\frac{85}{100}$ into decimal form.

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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 When the denominator equals 100, the numerator is the decimal number:

00:11 When dividing by 100, the decimal point moves twice 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

Convert the fraction $\frac{85}{100}$ into decimal form.

Step-by-step solution

Let's write the simple fraction as a decimal fraction:

$85.0$

Since the fraction divides by 100, we move the decimal point two places to the left:

$.850$

We add a zero before the decimal point as follows:

$0.850=0.85$

Final Answer

$0.85$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: Convert $\frac{85}{100}$ by placing decimal after 85.0
Check: Verify 0.85 × 100 = 85 to confirm correct placement ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 100 = multiplying instead of dividing! This makes 85 become 8500 instead of 0.85. 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:

$\frac{1}{100}=$

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 movement. For 10 (one zero), move one place. For 1000 (three zeros), move three places.

What if I don't see a decimal point in 85?

Every whole number has an invisible decimal point at the end! So 85 is really 85.0, and you can move that decimal point left as needed.

Can I just write 0.850 instead of 0.85?

Yes! $0.850 = 0.85$ because trailing zeros after the decimal don't change the value. Both are mathematically correct.

How do I remember which direction to move the decimal?

Think smaller! When dividing by 10, 100, or 1000, your answer should be smaller than the original number, so move the decimal left.

What if the fraction doesn't have 10 or 100 in the denominator?

Use long division instead! Divide the numerator by the denominator: 85 ÷ 100 = 0.85. This method works for any fraction.

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