355/90 as a Decimal and Mixed Number

355/90 as a decimal and mixed number expansion provides the detailed information about what is 355/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/90 as a Decimal
355/90 = 3.9444
Hence,
355/90 as a decimal equals to 3.9444
where,
355/90 is a given fraction,
The decimal expansion of 355/90 is 3.9444

355/90 as a Mixed Number
355/90 = (270 + 85)/90
= 270/90 + 85/90
= 3 + 85/90
= 3 85/90
355/90 = 3 85/90

Hence,
355/90 as a mixed number is 3 ⁸⁵/₉₀
where,
355/90 is a given fraction,
3 ⁸⁵/₉₀ is the mixed number representation of 355/90.

The below work with steps provide the detailed information about how to convert fraction 355/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/90.

step 2 The numerator is greater than the denominator of the fraction 355/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/90
= 270 + 85/90
= (3 x 90) + 85/90

step 3 Make the above expression as individual fractions:
= (3 x 90)/90 + 85/90

step 4 Simplify the above expression:
= 3 x 90/90 + 85/90
= 3 + 85/90
= 3 + 17 x 5/18 x 5
= 3 + 17/18
3 + 17/18 can be written as a mixed number 3 ¹⁷/₁₈.


step 5 Find the decimal equivalent for the fractional part 17/18 in the above expression:
= 3 + 0.9444
= 3.9444
355/90 = 3.9444

Hence,
355/90 as a decimal is 3.9444
355/90 as a mixed number is 3 ¹⁷/₁₈