Percent to Fraction Calculator
This Percent to Fraction Calculator helps you turn a percent into a fraction and shows the working clearly at every step. Percent means out of one hundred, so the number goes straight over 100. If it still has a decimal point, multiply the top and the bottom by 10 for each digit after it until the top is a whole number. Then check whether the answer can be written with smaller numbers. Following the same pattern every time is what makes converting percents easy to picture, check, and repeat on your own with any percent.
Step-by-step method
- Set up the problem.
- Percent means out of one hundred, so write the number over 100.
- If the top still has a decimal point, multiply the top and the bottom by 10 for each digit after it, until the top is a whole number.
- Do a simplifying of fractions at the end if you can.
See Example 1 Hide Example 1
Problem
Approach
Step-by-step method
- Set up the problem.
- Percent means out of one hundred, so write the number over 100.
- If the top still has a decimal point, multiply the top and the bottom by 10 for each digit after it, until the top is a whole number.
- Do a simplifying of fractions at the end if you can.
Step 1
Step 1 - Set up the problem.
In this problem: We start with \(75\%\).
Step 2
Step 2 - Percent means out of one hundred, so write the number over 100.
In this problem: \(75\%\) = \(\frac{75}{100}\).
Step 3
Step 3 - Make sure the fraction uses whole numbers.
In this problem: There are \(0\) digits after a decimal point, so the top is already a whole number and there is nothing to multiply by.
Step 4
Step 4 - Do a simplifying of fractions at the end if you can.
In this problem: The biggest number that divides both \(75\) and \(100\) is \(25\). Dividing each by it gives \(75\div 25 = 3\) and \(100\div 25 = 4\).
Problem
Approach
Step-by-step method
- Set up the problem.
- List the numbers that divide the top number, and the numbers that divide the bottom number. The biggest one on both lists is the one to use.
- Divide the top and the bottom by that number.
Step 1
Step 1 - Set up the problem.
In this problem: We are simplifying \(\frac{75}{100}\).
Step 2
Step 2 - List the numbers that divide the top number, and the numbers that divide the bottom number. The biggest one on both lists is the one to use.
In this problem: Listing what divides each one, both lists contain \(1, 5, 25\). The biggest of those is \(25\), so \(25\) is the number to divide by.
Step 3
Step 3 - Divide the top and the bottom by that number.
In this problem: Divide both by \(25\): \(75 \div 25 = 3\) and \(100 \div 25 = 4\).
Final Answer
Final Answer
See Example 2 Hide Example 2
Problem
Approach
Step-by-step method
- Set up the problem.
- Percent means out of one hundred, so write the number over 100.
- If the top still has a decimal point, multiply the top and the bottom by 10 for each digit after it, until the top is a whole number.
- Do a simplifying of fractions at the end if you can.
Step 1
Step 1 - Set up the problem.
In this problem: We start with \(12.5\%\).
Step 2
Step 2 - Percent means out of one hundred, so write the number over 100.
In this problem: \(12.5\%\) = \(\frac{12.5}{100}\).
Step 3
Step 3 - If the top still has a decimal point, multiply the top and the bottom by 10 for each digit after it, until the top is a whole number.
In this problem: The top still has a decimal point, so we multiply by \(\frac{10}{10}\), which is \(1\) and so does not change the value.
Step 4
Step 4 - Do a simplifying of fractions at the end if you can.
In this problem: The biggest number that divides both \(125\) and \(1000\) is \(125\). Dividing each by it gives \(125\div 125 = 1\) and \(1000\div 125 = 8\).
Problem
Approach
Step-by-step method
- Set up the problem.
- List the numbers that divide the top number, and the numbers that divide the bottom number. The biggest one on both lists is the one to use.
- Divide the top and the bottom by that number.
Step 1
Step 1 - Set up the problem.
In this problem: We are simplifying \(\frac{125}{1000}\).
Step 2
Step 2 - List the numbers that divide the top number, and the numbers that divide the bottom number. The biggest one on both lists is the one to use.
In this problem: Listing what divides each one, both lists contain \(1, 5, 25, 125\). The biggest of those is \(125\), so \(125\) is the number to divide by.
Step 3
Step 3 - Divide the top and the bottom by that number.
In this problem: Divide both by \(125\): \(125 \div 125 = 1\) and \(1000 \div 125 = 8\).
Final Answer
Final Answer
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