What is 1/3 as a decimal to 2 decimal places?

What is 1/3 as a decimal to 2 decimal places?

Just divide the top of the fraction by the bottom, and read off the answer!

What is 1/3 as a decimal to 2 decimal places?

... get your calculator and type in "5 / 8 ="

The answer should be 0.625

No Calculator? Use Long Division to Decimal Places


    0.625  8 )5.000

    0

    5.0

    4.8

      20

      16

       40

       40


        0

In that case we inserted extra zeros and did 5.000 8 to get 0.625

Read the Long Division to Decimal Places page for more details.

Another Method

Yet another method you may like is to follow these steps:

  • Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
  • Step 2: Multiply both top and bottom by that number.
  • Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)

Step 1: We can multiply 4 by 25 to become 100

Step 2: Multiply top and bottom by 25:

Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros);

Answer = 0.75

Step 1: We have to multiply 16 by 625 to become 10,000

Step 2: Multiply top and bottom by 625:

Step 3: Write down 1875 with the decimal point 4 spaces from the right (because 10,000 has 4 zeros);

Answer = 0.1875

Step 1: There is no way to multiply 3 to become 10 or 100 or any "1 followed by 0s", but we can calculate an approximate decimal by choosing to multiply by, say, 333

Step 2: Multiply top and bottom by 333:

Step 3: Now, 999 is nearly 1,000, so let us write down 333 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros):

Answer = 0.333 (accurate to only 3 decimal places !!)

947, 1362, 948, 1361, 3487, 3488, 1363, 3489, 3490, 3491

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Decimal to fraction converter ►

Expand the denominator to be a power of 10.

Example #1

3/5 is expanded to 6/10 by multiplying the numerator by 2 and denominator by 2:

3 = 3×2 = 6 = 0.6
5 5×2 10

Example #2

3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:

3 = 3×25 = 75 = 0.75
4 4×25 100

Example #3

5/8 is expanded to 625/1000 by multiplying the numerator by 125 and denominator by 125:

5 = 5×125 = 625 = 0.625
8 8×125 1000

Method #2

  1. Use calculator to divide the fraction's numerator by the denominator.
  2. For mixed numbers add the integer.

Example #1

2/5 = 2÷5 = 0.4

Example #2

1 2/5 = 1+2÷5 = 1.4

Method #3

Use long division to divide the fraction's numerator by the fraction's denominator.

Example

Calculate 3/4 by long division of 3 divided by 4:

Fraction to decimal conversion table

Fraction Decimal
1/2 0.5
1/3 0.33333333
2/3 0.66666667
1/4 0.25
2/4 0.5
3/4 0.75
1/5 0.2
2/5 0.4
3/5 0.6
4/5 0.8
1/6 0.16666667
2/6 0.33333333
3/6 0.5
4/6 0.66666667
5/6 0.83333333
1/7 0.14285714
2/7 0.28571429
3/7 0.42857143
4/7 0.57142858
5/7 0.71428571
6/7 0.85714286
1/8 0.125
2/8 0.25
3/8 0.375
4/8 0.5
5/8 0.625
6/8 0.75
7/8 0.875
1/9 0.11111111
2/9 0.22222222
3/9 0.33333333
4/9 0.44444444
5/9 0.55555556
6/9 0.66666667
7/9 0.77777778
8/9 0.88888889
1/10 0.1
2/10 0.2
3/10 0.3
4/10 0.4
5/10 0.5
6/10 0.6
7/10 0.7
8/10 0.8
9/10 0.9
1/11 0.09090909
2/11 0.18181818
3/11 0.27272727
4/11 0.36363636
5/11 0.45454545
6/11 0.54545454
7/11 0.63636363
8/11 0.72727272
9/11 0.81818181
10/11 0.90909091

Decimal to fraction conversion ►

See also

Convert a fraction to a decimal. Convert proper and improper fractions to decimals. Convert a ratio to a decimal. This calculator shows the steps and work to convert a fraction to a decimal number.

How to Convert a Fraction to a Decimal

In a fraction, the fraction bar means "divided by." So to find the decimal equivalent of a fraction like 1/4 you need to solve the math problem: 1 divided by 4.
1 ÷ 4 = 0.25

How to Turn a Fraction into a Division Problem

Dividing numbers is easy with a calculator. If you need to do long division by hand put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket.

The fraction 1/4 becomes 1 ÷ 4. Complete the division to convert the fraction to a decimal.

What is 1/3 as a decimal to 2 decimal places?

You can reduce the fraction to lowest terms first to make the long division math a bit easier. For example, 9/12 = 9 ÷ 12 = 0.75. Using long division to solve this problem by hand or in your head, reducing 9/12 = 3/4, might make the problem easier. You may even recognize that 3/4 = 0.75 because 3 quarters equals 75 cents.

You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division.

If you would like help reducing fractions to lowest terms see the Simplifying Fractions Calculator.

To convert a decimal to a fraction see the Decimal to Fraction Calculator.

Important Note: any span of numbers that is underlined signifies that those numbes are repeated. For example, 0.09 signifies 0.090909....

Only fractions in lowest terms are listed.  For instance, to find 2/8, first simplify it to 1/4 then search for it in the table below.
 

fraction = decimal      
1/1 = 1      
1/2 = 0.5      
1/3 = 0.3 2/3 = 0.6    
1/4 = 0.25 3/4 = 0.75    
1/5 = 0.2 2/5 = 0.4 3/5 = 0.6 4/5 = 0.8
1/6 = 0.16 5/6 = 0.83    
1/7 =  0.142857 2/7 =  0.285714 3/7 =  0.428571 4/7 =  0.571428
  5/7 =  0.714285 6/7 =  0.857142  
1/8 = 0.125 3/8 = 0.375 5/8 = 0.625 7/8 = 0.875
1/9 = 0.1 2/9 = 0.2 4/9 = 0.4 5/9 = 0.5
  7/9 = 0.7 8/9 = 0.8  
1/10 = 0.1 3/10 = 0.3 7/10 = 0.7 9/10 = 0.9
1/11 = 0.09 2/11 = 0.18 3/11 = 0.27 4/11 = 0.36
  5/11 = 0.45 6/11 = 0.54 7/11 = 0.63
  8/11 = 0.72 9/11 = 0.81 10/11 = 0.90
1/12 = 0.083 5/12 = 0.416 7/12 = 0.583 11/12 = 0.916
1/16 = 0.0625 3/16 = 0.1875  5/16 = 0.3125 7/16 = 0.4375
  11/16 = 0.6875 13/16 = 0.8125 15/16 = 0.9375
1/32 = 0.03125 3/32 = 0.09375 5/32 = 0.15625 7/32 = 0.21875
  9/32 = 0.28125 11/32 = 0.34375 13/32 = 0.40625
  15/32 = 0.46875 17/32 = 0.53125 19/32 = 0.59375
  21/32 = 0.65625 23/32 = 0.71875 25/32 = 0.78125
  27/32 = 0.84375 29/32 = 0.90625 31/32 = 0.96875

Need to convert a repeating decimal to a fraction? Follow these examples:
Note the following pattern for repeating decimals:
0.22222222... = 2/9
0.54545454... = 54/99
0.298298298... = 298/999
Division by 9's causes the repeating pattern.

Note the pattern if zeros preceed the repeating decimal:
0.022222222... = 2/90
0.00054545454... = 54/99000
0.00298298298... = 298/99900
Adding zero's to the denominator adds zero's before the repeating decimal.

To convert a decimal that begins with a non-repeating part, such as 0.21456456456456456..., to a fraction, write it as the sum of the non-repeating part and the repeating part.
  0.21 + 0.00456456456456456... Next, convert each of these decimals to fractions. The first decimal has a divisor of power ten. The second decimal (which repeats) is convirted according to the pattern given above.   21/100 + 456/99900 Now add these fraction by expressing both with a common divisor   20979/99900 + 456/99900 and add.   21435/99900 Finally simplify it to lowest terms   1429/6660 and check on your calculator or with long division. = 0.2145645645...