Convert Fraction to Percentage: Solving 30/60 Step-by-Step

Q: Why do I multiply by 100 instead of dividing?

Percentages are parts per hundred! When you multiply by 100, you're converting your decimal to show how many parts out of 100. For example, 0.5 becomes 50 parts out of 100.

Q: Can I simplify the fraction first before converting?

Yes, absolutely! Simplifying $ \frac{30}{60} $ to $ \frac{1}{2} $ makes the calculation much easier. Both methods give the same answer.

Q: How can I check if 50% is correct?

Calculate 50% of 60: 0.5 × 60 = 30. Since this matches our original numerator, our answer is correct!

Q: Is there a shortcut for simple fractions?

$ \frac{1}{2} $ = 50%$ \frac{1}{4} $ = 25%$ \frac{3}{4} $ = 75%Memorizing these common fraction-percentage pairs saves time!

Fraction to Percentage with Simplified Fractions

Calculate 30 over 60 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 30 as a percentage of 60

00:05 Apply the formula to calculate percentages

00:12 Divide the number by the second number and proceed to multiply by 100

00:19 Break down into factors and reduce wherever possible

00:36 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 30 over 60 as a percentage:

Step-by-step solution

To solve this problem and calculate what percentage 30 is of 60, we will use the percentage formula:

Step 1: Identify the part and the whole. Here, the part is 30 and the whole is 60.
Step 2: Use the formula for percentage:
$\text{Percentage} = \left( \frac{30}{60} \right) \times 100\%$
Step 3: Calculate the division:
$\frac{30}{60} = 0.5$
Step 4: Convert the decimal to a percentage by multiplying by 100:
$0.5 \times 100\% = 50\%$

Therefore, 30 is $50\%$ of 60.

Final Answer

50%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide fraction first, then multiply by 100 for percentage
Technique: Simplify 30/60 to 1/2 = 0.5, then 0.5 × 100% = 50%
Check: Verify 50% of 60 equals 30: 0.5 × 60 = 30 ✓

Common Mistakes

Avoid these frequent errors

Adding 100 instead of multiplying by 100
Don't add 100 to your decimal (0.5 + 100 = 100.5)! This gives impossible percentages over 100%. Always multiply the decimal by 100 to convert to percentage form.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I multiply by 100 instead of dividing?

Percentages are parts per hundred! When you multiply by 100, you're converting your decimal to show how many parts out of 100. For example, 0.5 becomes 50 parts out of 100.

Can I simplify the fraction first before converting?

Yes, absolutely! Simplifying $\frac{30}{60}$ to $\frac{1}{2}$ makes the calculation much easier. Both methods give the same answer.

What if my fraction doesn't divide evenly?

That's normal! Use long division or a calculator to get the decimal, then multiply by 100. For example, $\frac{1}{3}$ = 0.333... = 33.33%.

How can I check if 50% is correct?

Calculate 50% of 60: 0.5 × 60 = 30. Since this matches our original numerator, our answer is correct!

Is there a shortcut for simple fractions?

$\frac{1}{2}$ = 50%
$\frac{1}{4}$ = 25%
$\frac{3}{4}$ = 75%

Memorizing these common fraction-percentage pairs saves time!

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