Change [tex]$\frac{1}{4}$[/tex] to a decimal, then a percent.
Answer (2)
Convert the fraction to a decimal: 4 1 = 0.25 .
Convert the decimal to a percentage: 0.25 × 100% = 25% .
The decimal equivalent of 4 1 is 0.25.
The percentage equivalent of 4 1 is 25% .
Explanation
Problem Analysis We need to convert the fraction 4 1 into a decimal and then into a percentage.
Converting to Decimal To convert the fraction 4 1 to a decimal, we divide 1 by 4: 4 1 = 0.25
Converting to Percentage To convert the decimal 0.25 to a percentage, we multiply by 100%: 0.25 × 100% = 25% So, 0.25 is equal to 25%.
Final Answer Therefore, 4 1 as a decimal is 0.25 and as a percentage is 25%.
Examples
In everyday life, understanding how to convert fractions to decimals and percentages is incredibly useful. For instance, if you want to calculate a discount at a store, knowing that 4 1 off is the same as 25% off helps you quickly determine the sale price. Similarly, if you're splitting a bill with friends and you agree to pay 4 1 of the total, converting it to 0.25 makes it easier to calculate your share using a calculator. These conversions are also essential in cooking, where recipes often use fractions, and you might need to adjust quantities or understand proportions.
The fraction 4 1 is equivalent to 0.25 as a decimal and 25% as a percentage.
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