Mathematical Conversion Challenge: Convert 4.8/10 to a Percentage

Q: Why do I divide first instead of just multiplying by 100?

You need to convert the fraction to a decimal first! A fraction like $ \frac{4.8}{10} $ means 4.8 divided by 10. Only after getting 0.48 can you multiply by 100 to get the percentage.

Q: Can I simplify the fraction before converting?

Absolutely! $ \frac{4.8}{10} = \frac{48}{100} $ which immediately shows it's 48%. Both methods work - choose whichever feels easier!

Q: What if I get confused with the decimal places?

Remember: dividing by 10 moves the decimal one place left. So 4.8 ÷ 10 = 0.48. Then multiplying by 100 moves it two places right: 0.48 × 100 = 48.

Q: Why multiply by 100 to get a percentage?

Percent means per hundred! When you multiply a decimal by 100, you're finding how many parts out of 100. So 0.48 becomes 48 parts out of 100, or 48%.

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

Move decimal point one place left: 4.8 becomes 0.48Then convert to percentage: 0.48 = 48%Or recognize that $ \frac{anything}{10} \times 100 = anything \times 10 $

Decimal Fractions with Percentage Conversion

Convert the fraction into percentage:

$\frac{4.8}{10}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:05 We want to obtain a fraction with a denominator equal to 100

00:10 Therefore we multiply both the numerator and denominator by 10

00:17 Proceed to calculate

00:27 A fraction with denominator equal to 100 equals the numerator in percentage form (X)

00:30 Apply this formula to our exercise

00:34 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 percentage:

$\frac{4.8}{10}=\text{?}$

Step-by-step solution

To solve this problem, we'll convert the fraction into a percentage by following these steps:

Step 1: Divide the numerator by the denominator. For the fraction $\frac{4.8}{10}$ , we perform the calculation $4.8 \div 10$ .
Step 2: Calculate the decimal result from Step 1. The division yields $0.48$ .
Step 3: Convert the decimal to a percentage by multiplying by 100. Thus, $0.48 \times 100 = 48\%.$

Now, let's work through each step:
Step 1: The division of the numerator $4.8$ by the denominator $10$ gives $0.48$ .
Step 2: We take this result and multiply by 100 to convert to a percentage.
Step 3: Multiplying $0.48$ by 100 results in $48\%.$

Therefore, the solution to the problem is 48%.

Final Answer

48%

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide numerator by denominator to get decimal form
Technique: Convert $4.8 \div 10 = 0.48$ then multiply by 100
Check: Verify that $0.48 \times 100 = 48\%$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly when dividing by 10
Don't divide 4.8 by 10 and get 4.8 = 48%! Moving the decimal wrong gives 480% instead of 48%. Always divide carefully: 4.8 ÷ 10 = 0.48, then multiply by 100.

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 divide first instead of just multiplying by 100?

You need to convert the fraction to a decimal first! A fraction like $\frac{4.8}{10}$ means 4.8 divided by 10. Only after getting 0.48 can you multiply by 100 to get the percentage.

Can I simplify the fraction before converting?

Absolutely! $\frac{4.8}{10} = \frac{48}{100}$ which immediately shows it's 48%. Both methods work - choose whichever feels easier!

What if I get confused with the decimal places?

Remember: dividing by 10 moves the decimal one place left. So 4.8 ÷ 10 = 0.48. Then multiplying by 100 moves it two places right: 0.48 × 100 = 48.

Why multiply by 100 to get a percentage?

Percent means per hundred! When you multiply a decimal by 100, you're finding how many parts out of 100. So 0.48 becomes 48 parts out of 100, or 48%.

Is there a shortcut for fractions with denominator 10?

Move decimal point one place left: 4.8 becomes 0.48
Then convert to percentage: 0.48 = 48%
Or recognize that $\frac{anything}{10} \times 100 = anything \times 10$

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