Convert Fraction to Decimal: Changing 9/10 to Decimal Form

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

When you divide by 10, you're making the number ten times smaller. Moving the decimal point one place left does exactly that! For example, 9.0 ÷ 10 = 0.9.

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

Yes, always write the zero! Writing .9 instead of 0.9 is unclear and can cause confusion. The zero makes it obvious that your answer is less than 1.

Q: What if my fraction doesn't divide evenly?

Some fractions create repeating decimals like $ \frac{1}{3} = 0.333... $ Use a line over repeating digits or round to a specific number of decimal places as instructed.

Q: How can I check if 0.9 is really equal to 9/10?

Convert back! Multiply 0.9 × 10 = 9, then put it over 10: $ \frac{9}{10} $. You get the original fraction, so your conversion is correct!

Q: Is there a shortcut for fractions with denominator 10?

Yes! For tenths like $ \frac{7}{10} $, just put the numerator after a decimal point: 0.7. For hundredths like $ \frac{23}{100} $, use two decimal places: 0.23.

Fraction to Decimal with Tenths Place

Convert $\frac{9}{10}$ into decimal form:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's convert this to a decimal fraction.

00:08 If the denominator is ten, then the numerator is the decimal number.

00:13 When we divide by one hundred, move the decimal point one place to the left.

00:19 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert $\frac{9}{10}$ into decimal form:

Step-by-step solution

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

$9.0$

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

$.90$

We add a zero before the decimal point as follows:

$0.90=0.9$

Final Answer

0.9

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to convert fractions to decimals
Technique: For denominators like 10, move decimal point left: $\frac{9}{10} = 0.9$
Check: Verify by converting back: 0.9 × 10 = 9, so $0.9 = \frac{9}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point in wrong position
Don't write $\frac{9}{10}$ as 9.0 or 9.9! This happens when you forget that dividing by 10 makes numbers smaller, not larger. Always remember: $\frac{9}{10}$ means 9 ÷ 10, which equals 0.9.

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?

When you divide by 10, you're making the number ten times smaller. Moving the decimal point one place left does exactly that! For example, 9.0 ÷ 10 = 0.9.

Do I always need the zero before the decimal point?

Yes, always write the zero! Writing .9 instead of 0.9 is unclear and can cause confusion. The zero makes it obvious that your answer is less than 1.

What if my fraction doesn't divide evenly?

Some fractions create repeating decimals like $\frac{1}{3} = 0.333...$ Use a line over repeating digits or round to a specific number of decimal places as instructed.

How can I check if 0.9 is really equal to 9/10?

Convert back! Multiply 0.9 × 10 = 9, then put it over 10: $\frac{9}{10}$ . You get the original fraction, so your conversion is correct!

Is there a shortcut for fractions with denominator 10?

Yes! For tenths like $\frac{7}{10}$ , just put the numerator after a decimal point: 0.7. For hundredths like $\frac{23}{100}$ , use two decimal places: 0.23.

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