218/108 as a decimal and mixed number expansion provides the detailed information about what is 218/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
218/108 as a Decimal
218/108 = 2.0185
Hence,
218/108 as a decimal equals to 2.0185
where,
218/108 is a given fraction,
The decimal expansion of 218/108 is 2.0185
218/108 as a Mixed Number
218/108 = (216 + 2)/108
= 216/108 + 2/108
= 2 + 2/108
= 2 2/108
218/108 = 2 2/108
Hence,
218/108 as a mixed number is 2 2/108
where,
218/108 is a given fraction,
2 2/108 is the mixed number representation of 218/108.
The below work with steps provide the detailed information about how to convert fraction 218/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 218/108
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 218/108.
step 2 The numerator is greater than the denominator of the fraction 218/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 218/108
= 216 + 2/108
= (2 x 108) + 2/108
step 3 Make the above expression as individual fractions:
= (2 x 108)/108 + 2/108
step 4 Simplify the above expression:
= 2 x 108/108 + 2/108
= 2 + 2/108
= 2 + 1 x 2/54 x 2
= 2 + 1/54
2 + 1/54 can be written as a mixed number 2 1/54.
step 5 Find the decimal equivalent for the fractional part 1/54 in the above expression:
= 2 + 0.0185
= 2.0185
218/108 = 2.0185
Hence,
218/108 as a decimal is 2.0185
218/108 as a mixed number is 2 1/54