# 46/57 as a Decimal

46/57 as a decimal expansion provides the detailed information about what is 46/57 in decimal form, and the answer with steps help students to easily understand how it is being calculated.**46/57 as a Decimal Expansion**

46/57 = 0.807

Hence,

46/57 as a decimal equals to **0.807**

__where,__

46/57 is a given fraction,

The decimal expansion of 46/57 is 0.807**46/57 as a Mixed Number**

The given fraction 46/57 can't be represented as a mixed number since the numerator 46 of the given fraction is smaller than the denominator 57.

## How-to: 46/57 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 46/57 as a decimal equivalent.

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

The fraction = 46/57__What to be found:__

Find the decimal expansion of fraction 46/57.

step 2 The numerator is smaller than the denominator of the fraction 46/57, 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 46/57.

= 46/57 x 10/10

step 3 Rearrange the fraction as like the below:

= 10 x 46/57 x 1/10

= 460/57 x 1/10

step 4 Simplify the above expression further:

= 460/57 x 1/10

= 456 + 4/57 x 1/10

= ( 456/57 + 4/57) x 1/10

= (8 + 4/57 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 4/57 in the above expression:

= (8 + 4/57 ) x 1/10

= (8 + 0.07) x 1/10

step 6 Simplify the above expression further:

= (8 + 0.07) x 1/10

= 8.07 x 1/10

= 8.07/10

46/57= 0.807

Hence,

46/57 as a decimal is 0.807