By how much is 80% of 40 greater than \(4\over5\) of 25?
12
Percentage Calculation: 80% of 40
First, we need to calculate the value represented by 80% of 40.
To find the percentage of a number, we convert the percentage into a decimal or a fraction and then multiply it by the number.
Converting 80% to a decimal gives us \(0.80\).
The calculation is as follows: \(0.80 \times 40\).
Performing the multiplication: \(0.8 \times 40 = 32\).
Alternatively, we can use fractions. 80% is equal to \(\frac{80}{100}\), which simplifies to \(\frac{4}{5}\).
Using the fraction form: \(\frac{4}{5} \times 40 = \frac{4 \times 40}{5} = \frac{160}{5} = 32\).
So, 80% of 40 is 32.
Fraction Calculation: \( \frac{4}{5} \) of 25
Next, we calculate the value of \( \frac{4}{5} \) of 25.
This involves multiplying the fraction \(\frac{4}{5}\) by the number 25.
The calculation is: \(\frac{4}{5} \times 25\).
We can simplify this calculation:
\(\frac{4}{5} \times 25 = 4 \times \frac{25}{5} = 4 \times 5 = 20\).
Therefore, \( \frac{4}{5} \) of 25 is 20.
Difference Calculation: Comparison
The question asks by how much 80% of 40 is greater than \( \frac{4}{5} \) of 25.
To find this, we need to determine the difference between the two values we calculated.
Difference = (Value of 80% of 40) - (Value of \( \frac{4}{5} \) of 25)
Difference = \(32 - 20\).
Difference = \(12\).
Summary of Calculation
The result of the comparison shows that 80% of 40 (which is 32) is 12 greater than \( \frac{4}{5} \) of 25 (which is 20).
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