Calculate 6% of 100: A Direct Percentage Problem

Q: Why do I divide by 100 when finding a percentage?

Because percent means "per hundred"! When you write 6%, you're really saying 6 out of every 100, which equals the fraction $ \frac{6}{100} $.

Q: What if the number isn't 100?

The same method works! For example, 6% of 50 = $ \frac{6}{100} \times 50 = 3 $. Always convert to a fraction and multiply.

Q: Can I use decimals instead of fractions?

Absolutely! 6% = 0.06 as a decimal. So 6% of 100 = 0.06 × 100 = 6. Both methods give the same answer!

Percentage Calculations with Direct Multiplication

Calculate 6% of 100:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:02 Let's find 6 percent of 100.

00:06 First, change 6 percent into a fraction.

00:12 This fraction represents 6 percent.

00:16 Then, multiply the fraction by 100.

00:19 Try to simplify it if you can.

00:22 And that gives us the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 6% of 100:

Step-by-step solution

To solve the problem of calculating 6% of 100, we follow these clear steps:

Step 1: Convert the percentage to a fraction. The percentage 6% is equivalent to the fraction $\frac{6}{100}$ .
Step 2: Multiply the whole number by this fraction. We calculate $\frac{6}{100} \times 100$ .
Step 3: Perform the calculation. Simplifying $\frac{6}{100} \times 100$ , we find:

\frac{6 \times 100}{100} = 6

Therefore, the solution to the problem is 6.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to fraction by placing over 100
Technique: Multiply whole number by fraction: $\frac{6}{100} \times 100 = 6$
Check: Verify that 6 is indeed 6% of 100 by division: 6 ÷ 100 = 0.06 = 6% ✓

Common Mistakes

Avoid these frequent errors

Adding percentage number to the whole number
Don't add 6 + 100 = 106! This treats the percentage like a regular number instead of a part of the whole. Always convert the percentage to a fraction first, then multiply.

Practice Quiz

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Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I divide by 100 when finding a percentage?

Because percent means "per hundred"! When you write 6%, you're really saying 6 out of every 100, which equals the fraction $\frac{6}{100}$ .

Is there a faster way to calculate 6% of 100?

Yes! Since we're finding 6% of 100, you can use the shortcut: 6% of 100 is always just 6. This works because 100 ÷ 100 = 1, so you're left with just the percentage number.

What if the number isn't 100?

The same method works! For example, 6% of 50 = $\frac{6}{100} \times 50 = 3$ . Always convert to a fraction and multiply.

Can I use decimals instead of fractions?

Absolutely! 6% = 0.06 as a decimal. So 6% of 100 = 0.06 × 100 = 6. Both methods give the same answer!

How do I check if my percentage calculation is correct?

Divide your answer by the original number, then multiply by 100. If you get the original percentage, you're right! Example: 6 ÷ 100 × 100 = 6% ✓

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