Change $50 \%$ to a decimal, then a fraction.
A. $0.05, \frac{1}{2}$
B. $0.5, \frac{1}{20}$
C. $0.5, \frac{1}{2}$
D. $0.05, \frac{1}{20}$
Answer (2)
Convert the percentage to a decimal: 50% = 100 50 = 0.5 .
Convert the decimal to a fraction: 0.5 = 10 5 .
Simplify the fraction: 10 5 = 2 1 .
The decimal and fraction equivalents of 50% are 0.5 and 2 1 .
Explanation
Understanding the Problem We need to convert 50% to a decimal and then to a fraction.
Converting to Decimal To convert a percentage to a decimal, we divide the percentage by 100. So, we have:
Calculating Decimal Value 50% = 100 50 = 0.5
Converting to Fraction Now, we convert the decimal 0.5 to a fraction. We can write 0.5 as 10 5 .
Simplifying the Fraction Next, we simplify the fraction 10 5 by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
Calculating Simplified Fraction 10 5 = 10 ÷ 5 5 ÷ 5 = 2 1
Final Answer Therefore, 50% as a decimal is 0.5 , and as a fraction is 2 1 .
Examples
Imagine you are at a store and see a sign that says '50% off'. This means the item's price is reduced by half. If the original price of a toy is $10, a 50% discount means you save $5, and the new price is $5. Converting percentages to decimals and fractions helps you quickly understand discounts and proportions in everyday situations.
The conversion of 50% to a decimal is 0.5 , and as a fraction, it is 2 1 . Thus, the correct multiple choice answer is C. 0.5 , 2 1 .
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