Convert Fraction to Decimal: Solving 18/10

Q: Why do I move the decimal point left when dividing by 10?

When you divide by 10, you're making the number smaller. Moving the decimal point left reduces the place value of each digit, which makes the number ten times smaller.

Q: What if there's no decimal point shown in the fraction?

Every whole number has an invisible decimal point at the end! For 18, think of it as 18.0, then you can easily move the decimal point left to get 1.8.

Q: Does this trick work for other denominators like 100 or 1000?

Yes! Dividing by 100 moves the decimal 2 places left, dividing by 1000 moves it 3 places left. The number of zeros tells you how many places to move.

Q: What if I get confused about which direction to move the decimal?

Remember: dividing makes numbers smaller, so the decimal moves left. Multiplying makes numbers bigger, so the decimal moves right.

Fraction to Decimal with Simple Division

Write the following fraction as a decimal:

$\frac{18}{10}$

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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 And according to the denominator, move the decimal point

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

00:13 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:

$\frac{18}{10}$

Step-by-step solution

Let's first rewrite the simple fraction as a decimal fraction:

$18.0$

Since the fraction is divisible by 10, we can move the decimal point once to the left to obtain:

$1.80=1.8$

Final Answer

1.8

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves decimal point one place left
Technique: $\frac{18}{10} = 18.0 ÷ 10 = 1.8$
Check: Multiply back: $1.8 × 10 = 18$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point to the right when dividing by 10 = 180.0 instead of 1.8! This multiplies instead of divides. Always move the decimal point 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 left when dividing by 10?

When you divide by 10, you're making the number smaller. Moving the decimal point left reduces the place value of each digit, which makes the number ten times smaller.

What if there's no decimal point shown in the fraction?

Every whole number has an invisible decimal point at the end! For 18, think of it as 18.0, then you can easily move the decimal point left to get 1.8.

Does this trick work for other denominators like 100 or 1000?

Yes! Dividing by 100 moves the decimal 2 places left, dividing by 1000 moves it 3 places left. The number of zeros tells you how many places to move.

How do I check if my decimal answer is correct?

Multiply your decimal answer by the original denominator. If you get back to the original numerator, you're right! Like $1.8 × 10 = 18$ ✓

What if I get confused about which direction to move the decimal?

Remember: dividing makes numbers smaller, so the decimal moves left. Multiplying makes numbers bigger, so the decimal moves right.

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