2/338 as a decimal expansion provides the detailed information about what is 2/338 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
2/338 as a Decimal
2/338 = 0.0059
Hence,
2/338 as a decimal equals to 0.0059
where,
2/338 is a given fraction,
The decimal expansion of 2/338 is 0.0059
2/338 as a Mixed Number
The given fraction 2/338 can't be represented as a mixed number since the numerator 2 of the given fraction is smaller than the denominator 338.
The below work with steps provide the detailed information about how to convert fraction 2/338 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 2/338
What to be found:
Find the decimal expansion of fraction 2/338.
step 2 The numerator is smaller than the denominator of the fraction 2/338, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 2/338.
= 2/338 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000 x 2/338 x 1/1000
= 2000/338 x 1/1000
step 4 Simplify the above expression further:
= 2000/338 x 1/1000
= 1690 + 310/338 x 1/1000
= ( 1690/338 + 310/338) x 1/1000
= (5 + 310/338 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 310/338 in the above expression:
= (5 + 310/338 ) x 1/1000
= (5 + 0.917) x 1/1000
step 6 Simplify the above expression further:
= (5 + 0.917) x 1/1000
= 5.917 x 1/1000
= 5.917/1000
2/338= 0.005917
Hence,
2/338 as a decimal is 0.005917