Convert Fraction to Decimal: Finding the Decimal Form of 9/10

Q: Why does dividing by 10 move the decimal point left?

Dividing by 10 makes numbers smaller, so the decimal point moves left. Think of it as: 9 ÷ 10 = 0.9, which is less than the original 9.

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

You can still convert to decimal! Use long division or find an equivalent fraction with 10, 100, or 1000 in the denominator first.

Q: Do I always need the zero before the decimal point?

Yes! Writing 0.9 instead of just .9 makes it clearer and prevents confusion. It's the proper mathematical way to write decimals less than 1.

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

÷ 10: Move decimal 1 place left÷ 100: Move decimal 2 places left÷ 1000: Move decimal 3 places left

Fraction to Decimal with Denominators of Ten

Write the following fraction as a decimal:

$\frac{9}{10}=$

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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, we take the numerator as a number

00:07 And according to the denominator, we move the decimal point

00:10 When the denominator equals 10, we move the decimal point once to the left

00:15 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:

$\frac{9}{10}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$9.0$

Since the fraction divides by 10, we'll move the decimal point one place to the left and get:

$.9$

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

$0.9$

Final Answer

0.9

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves decimal point one place left
Technique: Convert $\frac{9}{10}$ by writing 9.0 then moving decimal left to get 0.9
Check: Verify 0.9 × 10 = 9, so $\frac{9}{10} = 0.9$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 10 = getting 90.0! This makes the number larger instead of smaller. Always move the decimal point left when dividing by powers of ten.

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 10 move the decimal point left?

Dividing by 10 makes numbers smaller, so the decimal point moves left. Think of it as: 9 ÷ 10 = 0.9, which is less than the original 9.

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

You can still convert to decimal! Use long division or find an equivalent fraction with 10, 100, or 1000 in the denominator first.

Do I always need the zero before the decimal point?

Yes! Writing 0.9 instead of just .9 makes it clearer and prevents confusion. It's the proper mathematical way to write decimals less than 1.

How do I know if my decimal conversion is correct?

Multiply your decimal answer by the original denominator. For $\frac{9}{10} = 0.9$ , check: 0.9 × 10 = 9 ✓

What's the easiest way to convert fractions with 10, 100, or 1000 in the denominator?

÷ 10: Move decimal 1 place left
÷ 100: Move decimal 2 places left
÷ 1000: Move decimal 3 places left

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