Converting the Fraction 6/10 to Decimal Form: Step-by-Step

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

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point one place to the left reduces the value by exactly 10 times!

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

Yes! Writing 0.6 instead of just .6 makes it clearer that this is less than 1. It's the standard way to write decimals.

Q: What if the denominator was 100 instead of 10?

With denominator 100, you'd move the decimal point two places left. For example: $ \frac{6}{100} = 0.06 $

Q: How can I check if 0.6 is really equal to 6/10?

Multiply 0.6 by 10: 0.6 × 10 = 6. Since this gives us the numerator, we know $ \frac{6}{10} = 0.6 $ is correct!

Q: Is there a pattern for other fractions with 10 in the denominator?

Yes! Any fraction like $ \frac{n}{10} $ becomes n with the decimal point moved one place left. Try $ \frac{3}{10} = 0.3 $ or $ \frac{25}{10} = 2.5 $

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{6}{10}=$

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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, take the numerator as a number

00:06 According to the denominator, move the decimal point

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

00:14 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:

$\frac{6}{10}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$6.0$

Since the fraction is divisible by 10, we will move the decimal point one place to the left and get:

$.6$

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

$0.6$

Final Answer

0.6

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with denominator 10 become one decimal place
Technique: Move decimal point left: 6.0 ÷ 10 = 0.6
Check: Verify 0.6 × 10 = 6, so $\frac{6}{10} = 0.6$ ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point incorrectly
Don't just put 6 after a decimal point to get 6.6 or 6.0! This ignores that you're dividing by 10. Always remember: dividing by 10 moves the decimal point one place left from 6.0 to get 0.6.

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 does dividing by 10 move the decimal point left?

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point one place to the left reduces the value by exactly 10 times!

Do I always need the zero before the decimal point?

Yes! Writing 0.6 instead of just .6 makes it clearer that this is less than 1. It's the standard way to write decimals.

What if the denominator was 100 instead of 10?

With denominator 100, you'd move the decimal point two places left. For example: $\frac{6}{100} = 0.06$

How can I check if 0.6 is really equal to 6/10?

Multiply 0.6 by 10: 0.6 × 10 = 6. Since this gives us the numerator, we know $\frac{6}{10} = 0.6$ is correct!

Is there a pattern for other fractions with 10 in the denominator?

Yes! Any fraction like $\frac{n}{10}$ becomes n with the decimal point moved one place left. Try $\frac{3}{10} = 0.3$ or $\frac{25}{10} = 2.5$

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