Decimal to Fraction Calculator
This Decimal to Fraction Calculator helps you turn a decimal into a fraction and shows the working clearly at every step. Start by writing the decimal over 1, then multiply the top and the bottom by 10 for each digit after the decimal point, which slides the point away and leaves a whole number on top. Then check whether the answer can be written with smaller numbers. Following the same pattern every time is what makes converting decimals easy to picture, check, and repeat on your own with any decimal.
Step-by-step method
- Set up the problem.
- Multiply the top and the bottom by 10 for each digit after the decimal point, so the top becomes 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.
- Multiply the top and the bottom by 10 for each digit after the decimal point, so the top becomes 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: Write \(0.75\) as a fraction over \(1\).
Step 2
Step 2 - Multiply the top and the bottom by 10 for each digit after the decimal point, so the top becomes a whole number.
In this problem: There are \(2\) digits after the decimal point, so we multiply by \(\frac{100}{100}\).
Step 3
Step 3 - 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.
- Multiply the top and the bottom by 10 for each digit after the decimal point, so the top becomes 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: Write \(2.5\) as a fraction over \(1\).
Step 2
Step 2 - Multiply the top and the bottom by 10 for each digit after the decimal point, so the top becomes a whole number.
In this problem: There is \(1\) digit after the decimal point, so we multiply by \(\frac{10}{10}\).
Step 3
Step 3 - Do a simplifying of fractions at the end if you can.
In this problem: The biggest number that divides both \(25\) and \(10\) is \(5\). Dividing each by it gives \(25\div 5 = 5\) and \(10\div 5 = 2\).
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 \(\frac{25}{10}\).
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 \(1, 5\). The biggest of those is \(5\), so \(5\) 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 \(5\): \(25 \div 5 = 5\) and \(10 \div 5 = 2\).
Final Answer
Final Answer
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