155/38 as a Decimal and Mixed Number

155/38 as a decimal and mixed number expansion provides the detailed information about what is 155/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

155/38 as a Decimal
155/38 = 4.0789
Hence,
155/38 as a decimal equals to 4.0789
where,
155/38 is a given fraction,
The decimal expansion of 155/38 is 4.0789

155/38 as a Mixed Number
155/38 = (152 + 3)/38
= 152/38 + 3/38
= 4 + 3/38
= 4 3/38
155/38 = 4 3/38

Hence,
155/38 as a mixed number is 4 ³/₃₈
where,
155/38 is a given fraction,
4 ³/₃₈ is the mixed number representation of 155/38.

The below work with steps provide the detailed information about how to convert fraction 155/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 155/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 155/38.

step 2 The numerator is greater than the denominator of the fraction 155/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 155/38
= 152 + 3/38
= (4 x 38) + 3/38

step 3 Make the above expression as individual fractions:
= (4 x 38)/38 + 3/38

step 4 Simplify the above expression:
= 4 x 38/38 + 3/38
= 4 + 3/38
4 + 3/38 can be written as a mixed number 4 ³/₃₈.


step 5 Find the decimal equivalent for the fractional part 3/38 in the above expression:
= 4 + 0.0789
= 4.0789
155/38 = 4.0789

Hence,
155/38 as a decimal is 4.0789
155/38 as a mixed number is 4 ³/₃₈