Convert the Fraction 40/50 into a Percentage

Q: Why do I need to multiply by 100 to get a percentage?

Because percent means "per hundred"! When you have the decimal 0.8, you're saying 8 tenths. To express this as parts per 100, multiply by 100 to get 80%.

Q: Can I simplify the fraction first before converting?

Yes! $ \frac{40}{50} = \frac{4}{5} $ by dividing both by 10. Then $ \frac{4}{5} = 0.8 = 80\% $. Simplifying can make the division easier!

Fraction to Percentage with Division Method

Convert the fraction into a percentage:

$\frac{40}{50}=\text{?}$

❤️ 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 fractions to percentages

00:05 A fraction with a denominator equal to 100 is equal to the numerator in percentage form (X)

00:13 Determine which number to multiply the denominator by in order to obtain a denominator of 100

00:26 We multiply both the numerator and denominator by 2 in order to obtain a denominator equal to 100

00:37 Apply this formula to our exercise

00:42 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction into a percentage:

$\frac{40}{50}=\text{?}$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Convert the fraction to a decimal.
Step 2: Multiply the decimal by 100 to find the percentage.

Now, let's work through each step:

Step 1: Convert $\frac{40}{50}$ to a decimal. We divide 40 by 50, resulting in $0.8$ .

Step 2: To convert the decimal $0.8$ to a percentage, we multiply by 100:

$0.8 \times 100 = 80\%$

Therefore, the solution to the problem is $80\%$ .

Final Answer

80%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator then multiply by 100
Technique: $\frac{40}{50} = 0.8$ , then $0.8 \times 100 = 80\%$
Check: Convert back: $80\% = 0.8 = \frac{40}{50}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after converting to decimal
Don't stop at the decimal 0.8 = incomplete answer! This only gives you the decimal form, not the percentage. Always multiply by 100 to convert the decimal to a percentage.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I need to multiply by 100 to get a percentage?

Because percent means "per hundred"! When you have the decimal 0.8, you're saying 8 tenths. To express this as parts per 100, multiply by 100 to get 80%.

Can I simplify the fraction first before converting?

Yes! $\frac{40}{50} = \frac{4}{5}$ by dividing both by 10. Then $\frac{4}{5} = 0.8 = 80\%$ . Simplifying can make the division easier!

What if the division doesn't give me a nice decimal?

That's okay! Use long division or a calculator to get as many decimal places as needed. For example, $\frac{1}{3} = 0.333... = 33.33\%$ (rounded).

How can I check if my percentage is correct?

Convert it back! Take your percentage, divide by 100 to get the decimal, then see if it equals your original fraction. 80% ÷ 100 = 0.8, and $\frac{40}{50} = 0.8$ ✓

Is there a shortcut for fractions with denominator 50?

Yes! Since 50 × 2 = 100, just multiply the numerator by 2. So $\frac{40}{50}$ becomes 40 × 2 = 80%. This works for any denominator that divides 100!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage 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