Convert Fraction to Decimal: Solving 45/10 Step by Step

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

Because dividing by 10 makes numbers smaller! Think of it as sharing: 45 cookies shared among 10 people gives each person 4.5 cookies - less than the original 45.

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

You can still convert! Use long division or find an equivalent fraction with a power of 10 in the denominator. For example, $ \frac{1}{4} = \frac{25}{100} = 0.25 $.

Q: Do I always need to write the zero after the decimal?

No! 4.5 and 4.50 are exactly the same number. The trailing zero after 5 doesn't change the value, so you can drop it.

Q: How can I check my answer without multiplying?

Think logically: $ \frac{45}{10} $ means "45 divided by 10." Since 10 goes into 40 exactly 4 times with 5 left over, you get 4 and 5 tenths = 4.5!

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

Remember: dividing makes numbers smaller, so move left. Multiplying makes numbers larger, so move right. Use the phrase "left for less, right for more"!

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{45}{10}$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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 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:

$\frac{45}{10}$

Step-by-step solution

First let's rewrite the simple fraction as a decimal fraction:

$45.0$

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

$4.50=4.5$

Final Answer

4.5

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is 10, move decimal point left once
Technique: Convert 45/10 by writing 45.0 then moving decimal left
Check: Multiply answer by denominator: 4.5 × 10 = 45 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point to the right when dividing by 10 = answer becomes 450! 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 do I move the decimal point left when dividing by 10?

Because dividing by 10 makes numbers smaller! Think of it as sharing: 45 cookies shared among 10 people gives each person 4.5 cookies - less than the original 45.

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

You can still convert! Use long division or find an equivalent fraction with a power of 10 in the denominator. For example, $\frac{1}{4} = \frac{25}{100} = 0.25$ .

Do I always need to write the zero after the decimal?

No! 4.5 and 4.50 are exactly the same number. The trailing zero after 5 doesn't change the value, so you can drop it.

How can I check my answer without multiplying?

Think logically: $\frac{45}{10}$ means "45 divided by 10." Since 10 goes into 40 exactly 4 times with 5 left over, you get 4 and 5 tenths = 4.5!

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

Remember: dividing makes numbers smaller, so move left. Multiplying makes numbers larger, so move right. Use the phrase "left for less, right for more"!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime