108/34 as a decimal and mixed number expansion provides the detailed information about what is 108/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
108/34 as a Decimal
108/34 = 3.1765
Hence,
108/34 as a decimal equals to 3.1765
where,
108/34 is a given fraction,
The decimal expansion of 108/34 is 3.1765
108/34 as a Mixed Number
108/34 = (102 + 6)/34
= 102/34 + 6/34
= 3 + 6/34
= 3 6/34
108/34 = 3 6/34
Hence,
108/34 as a mixed number is 3 6/34
where,
108/34 is a given fraction,
3 6/34 is the mixed number representation of 108/34.
The below work with steps provide the detailed information about how to convert fraction 108/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 108/34
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 108/34.
step 2 The numerator is greater than the denominator of the fraction 108/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 108/34
= 102 + 6/34
= (3 x 34) + 6/34
step 3 Make the above expression as individual fractions:
= (3 x 34)/34 + 6/34
step 4 Simplify the above expression:
= 3 x 34/34 + 6/34
= 3 + 6/34
= 3 + 3 x 2/17 x 2
= 3 + 3/17
3 + 3/17 can be written as a mixed number 3 3/17.
step 5 Find the decimal equivalent for the fractional part 3/17 in the above expression:
= 3 + 0.1765
= 3.1765
108/34 = 3.1765
Hence,
108/34 as a decimal is 3.1765
108/34 as a mixed number is 3 3/17