Calculate 30% of 40: Direct Percentage Multiplication

Percentage Calculations with Direct Multiplication

What is 30% of 40?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate 30% of 40
00:05 Apply the formula to convert percentages to fractions
00:24 Break down the numerator into factors
00:28 Reduce wherever possible
00:33 Multiply the fraction (percentage) by the number
00:40 Break down 40 into factors
00:43 Reduce wherever possible
00:48 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What is 30% of 40?

2

Step-by-step solution

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

  • Step 1: Identify the given information
  • Step 2: Apply the percentage formula
  • Step 3: Perform the necessary calculation

Now, let's work through each step:
Step 1: The problem asks us to find 30% of 40.
Step 2: We'll use the percentage formula: Percentage value=Percentage100×Quantity \text{Percentage value} = \frac{\text{Percentage}}{100} \times \text{Quantity} .
Step 3: Replacing the variables with the given values, we have: Percentage value=30100×40 \text{Percentage value} = \frac{30}{100} \times 40 .
To simplify, multiply 30100×40 \frac{30}{100} \times 40 :
First, convert 30% to a decimal fraction, which is 30100 \frac{30}{100} or 0.3 0.3 .
Then multiply 0.3 by 40:
0.3×40=12 0.3 \times 40 = 12 .

Therefore, the solution to the problem is 12.

3

Final Answer

12 12

Key Points to Remember

Essential concepts to master this topic
  • Formula: Convert percentage to decimal, then multiply by the quantity
  • Technique: 30%=0.3 30\% = 0.3 , so 0.3×40=12 0.3 \times 40 = 12
  • Check: Does 1240×100%=30% \frac{12}{40} \times 100\% = 30\% ? Yes! ✓

Common Mistakes

Avoid these frequent errors
  • Using the percentage number directly without converting
    Don't multiply 30 × 40 = 1200! This ignores the % symbol completely and gives a huge wrong answer. Always convert the percentage to decimal first: 30% = 0.3, then multiply 0.3 × 40 = 12.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I need to convert 30% to 0.3?

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The % symbol means "per hundred", so 30% = 30/100 = 0.3. You must convert to work with the actual mathematical value!

Can I solve this using fractions instead of decimals?

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Absolutely! You can use 30100×40=1200100=12 \frac{30}{100} \times 40 = \frac{1200}{100} = 12 . Both methods give the same answer.

What if I get a decimal answer instead of a whole number?

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That's perfectly normal! Many percentage problems result in decimal answers. For example, 25% of 30 = 7.5.

How can I quickly convert any percentage to a decimal?

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Move the decimal point two places left and drop the % sign. So 30% becomes 0.30 or just 0.3!

Is there a shortcut for common percentages?

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  • 10% = divide by 10
  • 50% = divide by 2
  • 25% = divide by 4
  • For 30% of 40: no simple shortcut, stick with 0.3 × 40

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