2/97 as a decimal expansion provides the detailed information about what is 2/97 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
2/97 as a Decimal
2/97 = 0.0206
Hence,
2/97 as a decimal equals to 0.0206
where,
2/97 is a given fraction,
The decimal expansion of 2/97 is 0.0206
2/97 as a Mixed Number
The given fraction 2/97 can't be represented as a mixed number since the numerator 2 of the given fraction is smaller than the denominator 97.
The below work with steps provide the detailed information about how to convert fraction 2/97 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 2/97
What to be found:
Find the decimal expansion of fraction 2/97.
step 2 The numerator is smaller than the denominator of the fraction 2/97, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 2/97.
= 2/97 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 2/97 x 1/100
= 200/97 x 1/100
step 4 Simplify the above expression further:
= 200/97 x 1/100
= 194 + 6/97 x 1/100
= ( 194/97 + 6/97) x 1/100
= (2 + 6/97 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 6/97 in the above expression:
= (2 + 6/97 ) x 1/100
= (2 + 0.062) x 1/100
step 6 Simplify the above expression further:
= (2 + 0.062) x 1/100
= 2.062 x 1/100
= 2.062/100
2/97= 0.02062
Hence,
2/97 as a decimal is 0.02062