345/108 as a Decimal and Mixed Number

345/108 as a decimal and mixed number expansion provides the detailed information about what is 345/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/108 as a Decimal
345/108 = 3.1944
Hence,
345/108 as a decimal equals to 3.1944
where,
345/108 is a given fraction,
The decimal expansion of 345/108 is 3.1944

345/108 as a Mixed Number
345/108 = (324 + 21)/108
= 324/108 + 21/108
= 3 + 21/108
= 3 21/108
345/108 = 3 21/108

Hence,
345/108 as a mixed number is 3 ²¹/₁₀₈
where,
345/108 is a given fraction,
3 ²¹/₁₀₈ is the mixed number representation of 345/108.

The below work with steps provide the detailed information about how to convert fraction 345/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/108.

step 2 The numerator is greater than the denominator of the fraction 345/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/108
= 324 + 21/108
= (3 x 108) + 21/108

step 3 Make the above expression as individual fractions:
= (3 x 108)/108 + 21/108

step 4 Simplify the above expression:
= 3 x 108/108 + 21/108
= 3 + 21/108
= 3 + 7 x 3/36 x 3
= 3 + 7/36
3 + 7/36 can be written as a mixed number 3 ⁷/₃₆.


step 5 Find the decimal equivalent for the fractional part 7/36 in the above expression:
= 3 + 0.1944
= 3.1944
345/108 = 3.1944

Hence,
345/108 as a decimal is 3.1944
345/108 as a mixed number is 3 ⁷/₃₆