355/4 as a Decimal and Mixed Number
355/4 as a decimal and mixed number expansion provides the detailed information about what is 355/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
355/4 as a Decimal
355/4 = 88.75
Hence,
355/4 as a decimal equals to 88.75
where,
355/4 is a given fraction,
The decimal expansion of 355/4 is 88.75
355/4 as a Mixed Number
355/4 = (352 + 3)/4
= 352/4 + 3/4
= 88 + 3/4
= 88 3/4
355/4 = 88 3/4
Hence,
355/4 as a mixed number is 88 3/4
where,
355/4 is a given fraction,
88 3/4 is the mixed number representation of 355/4.
How-to: 355/4 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 355/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/4
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/4.
step 2 The numerator is greater than the denominator of the fraction 355/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/4
= 352 + 3/4
= (88 x 4) + 3/4
step 3 Make the above expression as individual fractions:
= (88 x 4)/4 + 3/4
step 4 Simplify the above expression:
= 88 x 4/4 + 3/4
= 88 + 3/4
88 + 3/4 can be written as a mixed number 88 3/4.
step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 88 + (3/4 x 25/25)
= 88 + 75/100
step 6 Simplify the above expression further:
= 88 + 0.75
= 88.75
355/4 = 88.75
Hence,
355/4 as a decimal is 88.75
355/4 as a mixed number is 88 3/4