What is the equivalent percentage of a fraction 3/4?
Understand the Problem
The question is asking to convert the fraction 3/4 into its equivalent percentage form. To solve this, we will multiply 3/4 by 100 to get the percentage.
Answer
The equivalent percentage form of the fraction \( \frac{3}{4} \) is \( 75\% \).
Answer for screen readers
The equivalent percentage form of the fraction ( \frac{3}{4} ) is ( 75% ).
Steps to Solve
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Convert the fraction to a decimal To convert the fraction ( \frac{3}{4} ) to a decimal, we can perform the division: $$ 3 \div 4 = 0.75 $$
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Multiply by 100 Now that we have the decimal (0.75), the next step is to multiply this decimal by 100 to convert it into a percentage: $$ 0.75 \times 100 = 75 $$
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Write down the percentage The result from the multiplication gives us the percentage that is equivalent to the fraction. Thus, we write down: $$ 75% $$
The equivalent percentage form of the fraction ( \frac{3}{4} ) is ( 75% ).
More Information
When converting a fraction to a percentage, the multiplication by 100 represents finding out how many parts out of 100 the fraction corresponds to. This is a fundamental concept in understanding ratios and proportions.
Tips
- A common mistake is forgetting to multiply by 100 after converting to a decimal. Always remember the last step is crucial to converting to a percentage.
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