5/297 as a decimal expansion provides the detailed information about what is 5/297 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/297 as a Decimal
5/297 = 0.0168
Hence,
5/297 as a decimal equals to 0.0168
where,
5/297 is a given fraction,
The decimal expansion of 5/297 is 0.0168
5/297 as a Mixed Number
The given fraction 5/297 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 297.
The below work with steps provide the detailed information about how to convert fraction 5/297 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/297
What to be found:
Find the decimal expansion of fraction 5/297.
step 2 The numerator is smaller than the denominator of the fraction 5/297, 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 5/297.
= 5/297 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000 x 5/297 x 1/1000
= 5000/297 x 1/1000
step 4 Simplify the above expression further:
= 5000/297 x 1/1000
= 4752 + 248/297 x 1/1000
= ( 4752/297 + 248/297) x 1/1000
= (16 + 248/297 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 248/297 in the above expression:
= (16 + 248/297 ) x 1/1000
= (16 + 0.835) x 1/1000
step 6 Simplify the above expression further:
= (16 + 0.835) x 1/1000
= 16.835 x 1/1000
= 16.835/1000
5/297= 0.016835
Hence,
5/297 as a decimal is 0.016835