Calculate 10% of 60: A Simple Percentage Problem

Q: Why do I divide by 100 when converting percentages?

Percent means 'per hundred', so 10% literally means 10 out of 100. Dividing 10 by 100 gives you the decimal form: $ \frac{10}{100} = 0.1 $

Q: Can I use fractions instead of decimals?

Absolutely! You can write 10% as $ \frac{10}{100} $ and calculate $ \frac{10}{100} \times 60 = \frac{600}{100} = 6 $. Both methods give the same answer!

Q: How can I check if my percentage answer makes sense?

Ask yourself: Is my answer smaller than the original number? Since 10% is less than 100%, the result (6) should be less than 60. This helps catch big mistakes!

Q: What if I need to find a different percentage like 25%?

Use the same method! Convert 25% to decimal: $ 25 \div 100 = 0.25 $, then multiply by your number. The formula always works!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 10% of 60

00:03 Apply the formula to convert percentages to fractions

00:10 This fraction is equal to 10%

00:16 Multiply this fraction by the number itself in order to determine the percentage

00:24 Break it down to factors and reduce wherever possible

00:30 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Calculate 10% of 60:

2

Step-by-step solution

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

Step 1: Identify the percentage rate and the whole number given.
Step 2: Use the formula for percentage calculation.
Step 3: Perform the calculation to find the solution.

Here's a detailed explanation of each step:
Step 1: We are asked to find 10% of 60. The percentage rate is 10%, and the whole number is 60.
Step 2: We use the formula: $\text{percentage value} = \frac{\text{percentage rate}}{100} \times \text{whole number}$ .
Step 3: We convert 10% to a decimal by calculating $\frac{10}{100} = 0.1$ . Then, multiply this value by 60: $0.1 \times 60 = 6$

Therefore, the solution to the problem is $\mathbf{6}$ .

3

Final Answer

6

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage value = (rate ÷ 100) × whole number
Method: Convert 10% to 0.1, then multiply: 0.1 × 60 = 6
Check: 6 is 10% of 60 because 6 ÷ 60 = 0.1 = 10% ✓

Common Mistakes

Avoid these frequent errors

Multiplying by the percentage number directly
Don't multiply 60 × 10 = 600! This ignores the percent sign and gives a result 100 times too large. Always convert the percentage to decimal first by dividing by 100, then multiply.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I divide by 100 when converting percentages?

+

Percent means 'per hundred', so 10% literally means 10 out of 100. Dividing 10 by 100 gives you the decimal form: $\frac{10}{100} = 0.1$

Can I use fractions instead of decimals?

+

Absolutely! You can write 10% as $\frac{10}{100}$ and calculate $\frac{10}{100} \times 60 = \frac{600}{100} = 6$ . Both methods give the same answer!

Is there a shortcut for calculating 10%?

+

Yes! Since 10% = 0.1, finding 10% of any number is the same as moving the decimal point one place left. So 10% of 60.0 becomes 6.0!

How can I check if my percentage answer makes sense?

+

Ask yourself: Is my answer smaller than the original number? Since 10% is less than 100%, the result (6) should be less than 60. This helps catch big mistakes!

What if I need to find a different percentage like 25%?

+

Use the same method! Convert 25% to decimal: $25 \div 100 = 0.25$ , then multiply by your number. The formula always works!

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