155/4 as a Decimal and Mixed Number
155/4 as a decimal and mixed number expansion provides the detailed information about what is 155/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
155/4 as a Decimal
155/4 = 38.75
Hence,
155/4 as a decimal equals to 38.75
where,
155/4 is a given fraction,
The decimal expansion of 155/4 is 38.75
155/4 as a Mixed Number
155/4 = (152 + 3)/4
= 152/4 + 3/4
= 38 + 3/4
= 38 3/4
155/4 = 38 3/4
Hence,
155/4 as a mixed number is 38 3/4
where,
155/4 is a given fraction,
38 3/4 is the mixed number representation of 155/4.
How-to: 155/4 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 155/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 155/4
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 155/4.
step 2 The numerator is greater than the denominator of the fraction 155/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 155/4
= 152 + 3/4
= (38 x 4) + 3/4
step 3 Make the above expression as individual fractions:
= (38 x 4)/4 + 3/4
step 4 Simplify the above expression:
= 38 x 4/4 + 3/4
= 38 + 3/4
38 + 3/4 can be written as a mixed number 38 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:
= 38 + (3/4 x 25/25)
= 38 + 75/100
step 6 Simplify the above expression further:
= 38 + 0.75
= 38.75
155/4 = 38.75
Hence,
155/4 as a decimal is 38.75
155/4 as a mixed number is 38 3/4