What is the decimal of 1/12

The fraction 1/12 is equal to 0.083333333333333 when converted to a decimal. See below detalis on how to convert the fraction 1/12 to a decimal value.

To easily convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).

  • Step 1: Divide 4 by 8: 4 ÷ 8 = 1 ÷ 2 = 0.5
  • Step 2: Multiply the result by 100 and add the decimal sign: 0.5 × 100%
  • Answer: 4/8 = 50%
  • Step 1: Divide 1 by 3: 1 ÷ 3 = 0.3333
  • Step 2: Add this value to the the integer part: 1 + 0.3333 = 1.3333
  • Step 3: Multiply the result by 100 and add the decimal sign: 1.3333 × 100%
  • Answer: 1 1/3 = 133.33%

Note: the result was rounded to 2 decimal places.

fractioninchesmm
1/640.01560.3969
1/320.03130.7938
3/640.04691.1906
1/160.06251.5875
5/640.07811.9844
3/320.09382.3813
7/640.10942.7781
1/80.12503.1750
9/640.14063.5719
5/320.15633.9688
11/640.17194.3656
3/160.18754.7625
13/640.20315.1594
7/320.21885.5563
15/640.23445.9531
1/40.25006.3500

fractioninchesmm
17/640.26566.7469
9/320.28137.1438
19/640.29697.5406
5/160.31257.9375
21/640.32818.3344
11/320.34388.7313
23/640.35949.1281
3/80.37509.5250
25/640.39069.9219
13/320.406310.3188
27/640.421910.7156
7/160.437511.1125
29/640.453111.5094
15/320.468811.9063
31/640.484412.3031
1/20.500012.7000

fractioninchesmm
33/640.515613.0969
17/320.531313.4938
35/640.546913.8906
9/160.562514.2875
37/640.578114.6844
19/320.593815.0813
39/640.609415.4781
5/80.625015.8750
41/640.640616.2719
21/320.656316.6688
43/640.671917.0656
11/160.687517.4625
45/640.703117.8594
23/320.718818.2563
47/640.734418.6531
3/40.750019.0500

fractioninchesmm
49/640.765619.4469
25/320.781319.8438
51/640.796920.2406
13/160.812520.6375
53/640.828121.0344
27/320.843821.4313
55/640.859421.8281
7/80.875022.2250
57/640.890622.6219
29/320.906323.0188
59/640.921923.4156
15/160.937523.8125
61/640.953124.2094
31/320.968824.6063
63/640.984425.0031
11.000025.4000

Solution and how to convert 1 / 12 into a decimal

  • Home
  • Fractions
  • What is 1/12 as a decimal?

As a refresher, we encourage you to check out our fractions section of the website. Also check out our introduction to decimal numbers article. Fractions can also be represented as decimal numbers which is a number with a whole part and a fractional part. In this section, we show you how to calculate the solution to such problems on your own.

  • Step 1 (only step): Divide 1 by 12 to get the number as a decimal. 1 / 12 = 0.083. That's all there is to it. After all, a fraction is another way of expressing a division.

It is often easier to use a calculator to solve these types of problems, but it is also possible to do it by hand. If you want to practice doing it by hand, you may want to double check your solution with a calculator afterward.

When is this useful?

Sometimes it is more useful to convey a number as a decimal number rather than a fraction or a percentage. In those cases, this type of conversion is helpful.

What is the decimal of 1/12

1/12 as a decimal expansion provides the detailed information about what is 1/12 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

1/12 as a Decimal Expansion

1/12 = 0.0833 Hence,

1/12 as a decimal equals to 0.0833


where, 1/12 is a given fraction, The decimal expansion of 1/12 is 0.0833

1/12 as a Mixed Number


The given fraction 1/12 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 12.

The below work with steps provide the detailed information about how to convert fraction 1/12 as a decimal equivalent.

step 1 Address the input parameters and observe what to be found:
Input values:The fraction = 1/12

What to be found:


Find the decimal expansion of fraction 1/12.

step 2 The numerator is smaller than the denominator of the fraction 1/12, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 1/12.
= 1/12 x 100/100

step 3 Rearrange the fraction as like the below:
= 100/12 x 1/100

step 4 Simplify the above expression further:
= 100/12 x 1/100
= 96 + 4/12 x 1/100
= ( 96/12 + 4/12) x 1/100
= (8 + 4/12 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 4/12 in the above expression:
= (8 + 4/12 ) x 1/100
= (8 + 0.333) x 1/100

step 6 Simplify the above expression further:
= (8 + 0.333) x 1/100
= 8.333 x 1/100
= 8.333/100
1/12= 0.08333 Hence,

1/12 as a decimal is 0.08333