# 1/3 as a Decimal

1/3 as a decimal expansion provides the detailed information about what is 1/3 in decimal form, and the answer with steps help students to easily understand how it is being calculated.**1/3 as a Decimal Expansion**

1/3 = 0.3333

Hence,

1/3 as a decimal equals to **0.3333**

__where,__

1/3 is a given fraction,

The decimal expansion of 1/3 is 0.3333**1/3 as a Mixed Number**

The given fraction 1/3 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 3.

## How-to: 1/3 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 1/3 as a decimal equivalent.

step 1 Address the input parameters and observe what to be found:__Input values:__

The fraction = 1/3__What to be found:__

Find the decimal expansion of fraction 1/3.

step 2 The numerator is smaller than the denominator of the fraction 1/3, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/3.

= 1/3 x 10/10

step 3 Rearrange the fraction as like the below:

= 10/3 x 1/10

step 4 Simplify the above expression further:

= 10/3 x 1/10

= 9 + 1/3 x 1/10

= ( 9/3 + 1/3) x 1/10

= (3 + 1/3 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/3 in the above expression:

= (3 + 1/3 ) x 1/10

= (3 + 0.333) x 1/10

step 6 Simplify the above expression further:

= (3 + 0.333) x 1/10

= 3.333 x 1/10

= 3.333/10

1/3= 0.3333

Hence,

1/3 as a decimal is 0.3333