337/339 as a decimal expansion provides the detailed information about what is 337/339 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
337/339 as a Decimal
337/339 = 0.9941
Hence,
337/339 as a decimal equals to 0.9941
where,
337/339 is a given fraction,
The decimal expansion of 337/339 is 0.9941
337/339 as a Mixed Number
The given fraction 337/339 can't be represented as a mixed number since the numerator 337 of the given fraction is smaller than the denominator 339.
The below work with steps provide the detailed information about how to convert fraction 337/339 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 337/339
What to be found:
Find the decimal expansion of fraction 337/339.
step 2 The numerator is smaller than the denominator of the fraction 337/339, 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 337/339.
= 337/339 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 337/339 x 1/10
= 3370/339 x 1/10
step 4 Simplify the above expression further:
= 3370/339 x 1/10
= 3051 + 319/339 x 1/10
= ( 3051/339 + 319/339) x 1/10
= (9 + 319/339 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 319/339 in the above expression:
= (9 + 319/339 ) x 1/10
= (9 + 0.941) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.941) x 1/10
= 9.941 x 1/10
= 9.941/10
337/339= 0.9941
Hence,
337/339 as a decimal is 0.9941