Fraction to Percent Calculator

Published on: April 21, 2024

Final Answer: Free • Full Steps: Free

This Fraction to Percent Calculator helps you turn a fraction into a percent and shows the working clearly at every step. Percent means out of one hundred, so first divide the top number by the bottom number to get a decimal, then multiply that decimal by one hundred and write a percent sign after it. Following the same pattern every time is what makes converting fractions easy to picture, check, and repeat on your own with any fraction.

Step-by-step method

Set up the problem.
Do a fraction to decimal to turn the fraction into a decimal.
Multiply that decimal by 100, and write a percent sign after it.

See Example 1 Hide Example 1

Problem

\(\frac{3}{4}\)

Approach

Step-by-step method

Set up the problem.
Do a fraction to decimal to turn the fraction into a decimal.
Multiply that decimal by 100, and write a percent sign after it.

Step 1

Step 1 - Set up the problem.

In this problem: We start with \(\frac{3}{4}\).

\(\frac{3}{4}\)

Step 2

Step 2 - Do a fraction to decimal to turn the fraction into a decimal.

In this problem: \(3 \div 4 = 0.75\).

\(\frac{3}{4} = 0.75\)

Problem

\(\frac{3}{4}\)

Approach

Step-by-step method

Set up the long-division box, with the bottom number outside and the top number inside.
Do a division of large numbers: divide, multiply, subtract, bring down, and repeat.
When the digits run out and something is still left over, put a decimal point in the answer and keep bringing down zeros. Stop when nothing is left over. If the digits keep repeating forever, stop after a few places.

Step 1

Step 1 - Step 2a - Divide, multiply, and subtract.

In this problem: \(4\) cannot go into \(3\), so we write \(0\). Multiply: \(4 \times 0 = 0\). Subtract: \(3 - 0 = 3\).

	0
4	3
-	0
	3

Step 2

Step 2 - Step 2b - Bring down 0 after the decimal.

In this problem: We bring down \(0\) to make \(30\).

	0.
4	3.	0
-	0
	3	0

Step 3

Step 3 - Step 2c - Divide, multiply, and subtract.

In this problem: We look at \(30\). \(4\) fits \(7\) times. Multiply: \(4 \times 7 = 28\). Subtract: \(30 - 28 = 2\).

	0.	7
4	3.	0
-	0
	3	0
-	2	8
		2

Problem

\(30 - 28\)

Approach

Step-by-step method

Write the two numbers in columns, aligned on the right (ones under ones). Put the − sign to the left of the bottom number, and draw a line underneath.
Starting from the rightmost column, subtract column-by-column moving right to left. If you cannot subtract in a column, borrow from the column to the left, then subtract. This repeats once for every column, moving right to left.

Step 1

Step 1 - When the top digit in a column is too small to subtract from, borrow from the nearest column to its left that is not zero. Take one away from that digit and add ten to the column on its right, passing the borrow along one column at a time until it reaches the column you are working on.

In this problem: We need to borrow because \(0\) in the ones column is smaller than \(8\). Take 1 from the tens column, so \(3\) becomes \(2\), and add 10 to the ones column, so \(0\) becomes \(10\).

	2	10
	3	0
−	2	8

Step 2

Step 2 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(10 - 8 = 2\) → write \(2\) under the ones column.

	2	10
	3	0
−	2	8

		2

Step 3

Step 3 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(2 - 2 = 0\) → this is a leading zero, so nothing is written under the tens column.

	2	10
	3	0
−	2	8

		2

Final Answer

\(2\)

Step 4

Step 4 - Step 2d - Bring down 0 after the decimal.

In this problem: We bring down \(0\) to make \(20\).

	0.	7
4	3.	0	0
-	0
	3	0
-	2	8
		2	0

Step 5

Step 5 - Step 2e - Divide, multiply, and subtract.

In this problem: We look at \(20\). \(4\) fits \(5\) times. Multiply: \(4 \times 5 = 20\). Subtract: \(20 - 20 = 0\).

	0.	7	5
4	3.	0	0
-	0
	3	0
-	2	8
		2	0
-		2	0
			0

Problem

\(20 - 20\)

Approach

Step-by-step method

Write the two numbers in columns, aligned on the right (ones under ones). Put the − sign to the left of the bottom number, and draw a line underneath.
Starting from the rightmost column, subtract column-by-column moving right to left. If you cannot subtract in a column, borrow from the column to the left, then subtract. This repeats once for every column, moving right to left.

Step 1

Step 1 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(0 - 0 = 0\) → write \(0\) under the ones column.

	2	0
−	2	0

		0

Step 2

Step 2 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(2 - 2 = 0\) → this is a leading zero, so nothing is written under the tens column.

	2	0
−	2	0

		0

Final Answer

\(0\)

Final Answer

\(0.75\)

Step 3

Step 3 - Multiply that decimal by 100, and write a percent sign after it.

In this problem: \(0.75 \times 100 = 75\%\).

\(0.75 \times 100 = 75\%\)

Final Answer

\(\frac{3}{4} = 75\%\)

See Example 2 Hide Example 2

Problem

\(\frac{1}{3}\)

Approach

Step-by-step method

Set up the problem.
Do a fraction to decimal to turn the fraction into a decimal.
Multiply that decimal by 100, and write a percent sign after it.

Step 1

Step 1 - Set up the problem.

In this problem: We start with \(\frac{1}{3}\).

\(\frac{1}{3}\)

Step 2

Step 2 - Do a fraction to decimal to turn the fraction into a decimal.

In this problem: \(1 \div 3 = 0.333333\).

\(\frac{1}{3} = 0.333333\)

Problem

\(\frac{1}{3}\)

Approach

Step-by-step method

Set up the long-division box, with the bottom number outside and the top number inside.
Do a division of large numbers: divide, multiply, subtract, bring down, and repeat.
When the digits run out and something is still left over, put a decimal point in the answer and keep bringing down zeros. Stop when nothing is left over. If the digits keep repeating forever, stop after a few places.

Step 1

Step 1 - Step 2a - Divide, multiply, and subtract.

In this problem: \(3\) cannot go into \(1\), so we write \(0\). Multiply: \(3 \times 0 = 0\). Subtract: \(1 - 0 = 1\).

	0
3	1
-	0
	1

Step 2

Step 2 - Step 2b - Bring down 0 after the decimal.

In this problem: We bring down \(0\) to make \(10\).

	0.
3	1.	0
-	0
	1	0

Step 3

Step 3 - Step 2c - Divide, multiply, and subtract.

In this problem: We look at \(10\). \(3\) fits \(3\) times. Multiply: \(3 \times 3 = 9\). Subtract: \(10 - 9 = 1\).

	0.	3
3	1.	0
-	0
	1	0
-		9
		1

Problem

\(10 - 9\)

Approach

Step-by-step method

Write the two numbers in columns, aligned on the right (ones under ones). Put the − sign to the left of the bottom number, and draw a line underneath.
Starting from the rightmost column, subtract column-by-column moving right to left. If you cannot subtract in a column, borrow from the column to the left, then subtract. This repeats once for every column, moving right to left.

Step 1

In this problem: We need to borrow because \(0\) in the ones column is smaller than \(9\). Take 1 from the tens column, so \(1\) becomes \(0\), and add 10 to the ones column, so \(0\) becomes \(10\).

	0	10
	1	0
−		9

Step 2

Step 2 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(10 - 9 = 1\) → write \(1\) under the ones column.

	0	10
	1	0
−		9

		1

Step 3

Step 3 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(0 - 0 = 0\) → this is a leading zero, so nothing is written under the tens column.

	0	10
	1	0
−		9

		1

Final Answer

\(1\)

Step 4

Step 4 - Step 2d - Bring down 0 after the decimal.

In this problem: We bring down \(0\) to make \(10\).

	0.	3
3	1.	0	0
-	0
	1	0
-		9
		1	0

Step 5

Step 5 - Step 2e - Divide, multiply, and subtract.

In this problem: We look at \(10\). \(3\) fits \(3\) times. Multiply: \(3 \times 3 = 9\). Subtract: \(10 - 9 = 1\).

	0.	3	3
3	1.	0	0
-	0
	1	0
-		9
		1	0
-			9
			1

Problem

\(10 - 9\)

Approach

Step-by-step method

Write the two numbers in columns, aligned on the right (ones under ones). Put the − sign to the left of the bottom number, and draw a line underneath.
Starting from the rightmost column, subtract column-by-column moving right to left. If you cannot subtract in a column, borrow from the column to the left, then subtract. This repeats once for every column, moving right to left.

Step 1

	0	10
	1	0
−		9

Step 2

Step 2 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(10 - 9 = 1\) → write \(1\) under the ones column.

	0	10
	1	0
−		9

		1

Step 3

Step 3 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(0 - 0 = 0\) → this is a leading zero, so nothing is written under the tens column.

	0	10
	1	0
−		9

		1

Final Answer

\(1\)

Step 6

Step 6 - Step 2f - Bring down 0 after the decimal.

In this problem: We bring down \(0\) to make \(10\).

	0.	3	3
3	1.	0	0	0
-	0
	1	0
-		9
		1	0
-			9
			1	0

Step 7

Step 7 - Step 2g - Divide, multiply, and subtract.

In this problem: We look at \(10\). \(3\) fits \(3\) times. Multiply: \(3 \times 3 = 9\). Subtract: \(10 - 9 = 1\).

	0.	3	3	3
3	1.	0	0	0
-	0
	1	0
-		9
		1	0
-			9
			1	0
-				9
				1

Problem

\(10 - 9\)

Approach

Step-by-step method

Write the two numbers in columns, aligned on the right (ones under ones). Put the − sign to the left of the bottom number, and draw a line underneath.
Starting from the rightmost column, subtract column-by-column moving right to left. If you cannot subtract in a column, borrow from the column to the left, then subtract. This repeats once for every column, moving right to left.

Step 1

	0	10
	1	0
−		9

Step 2

Step 2 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(10 - 9 = 1\) → write \(1\) under the ones column.

	0	10
	1	0
−		9

		1

Step 3

Step 3 - Subtract the bottom digit from the top digit in this column and write the result underneath the line.

In this problem: \(0 - 0 = 0\) → this is a leading zero, so nothing is written under the tens column.

	0	10
	1	0
−		9

		1

Final Answer

\(1\)

Final Answer

\(0.333\)

Step 3

Step 3 - Multiply that decimal by 100, and write a percent sign after it.

In this problem: \(0.333333 \times 100 = 33.33\%\).

\(0.333333 \times 100 = 33.33\%\)

Final Answer

\(\frac{1}{3} = 33.33\%\)