Convert the percentage to a fraction: 75% = 100 75 .
Rewrite the expression: 100 75 100 75 .
Simplify the expression by dividing the numerator by the denominator.
The final answer is: 1 .
Explanation
Converting percentage to a fraction We are asked to simplify the expression 100 75 75% . First, we need to convert the percentage to a fraction. Recall that 75% = 100 75 .
Rewriting the expression Now, we can rewrite the expression as 100 75 100 75 .
Simplifying the expression To simplify this expression, we can divide the numerator by the denominator. Since the numerator and the denominator are the same, the result is 1.
Final Answer Therefore, 100 75 75% = 100 75 100 75 = 1 .
Examples
Understanding percentages and fractions is crucial in everyday life. For instance, when calculating discounts at a store, you often need to convert percentages to fractions to determine the actual savings. If an item is 25% off and originally costs 40 , yo u co n v er t 25 \frac{1}{4}$ and then multiply it by $40 to find the discount amount, which is $10. This skill is also essential in finance, such as calculating interest rates or investment returns.
The expression 100 75 75% simplifies to 1. This is done by converting the percentage to a fraction and dividing it by itself. Hence, the final result is 1.
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