Calculate 30% of 40: Direct Percentage 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

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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

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Calculate 30 over 100 as a percentage:

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