145/38 as a Decimal and Mixed Number

145/38 as a decimal and mixed number expansion provides the detailed information about what is 145/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

145/38 as a Decimal
145/38 = 3.8158
Hence,
145/38 as a decimal equals to 3.8158
where,
145/38 is a given fraction,
The decimal expansion of 145/38 is 3.8158

145/38 as a Mixed Number
145/38 = (114 + 31)/38
= 114/38 + 31/38
= 3 + 31/38
= 3 31/38
145/38 = 3 31/38

Hence,
145/38 as a mixed number is 3 ³¹/₃₈
where,
145/38 is a given fraction,
3 ³¹/₃₈ is the mixed number representation of 145/38.

The below work with steps provide the detailed information about how to convert fraction 145/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 145/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 145/38.

step 2 The numerator is greater than the denominator of the fraction 145/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 145/38
= 114 + 31/38
= (3 x 38) + 31/38

step 3 Make the above expression as individual fractions:
= (3 x 38)/38 + 31/38

step 4 Simplify the above expression:
= 3 x 38/38 + 31/38
= 3 + 31/38
3 + 31/38 can be written as a mixed number 3 ³¹/₃₈.


step 5 Find the decimal equivalent for the fractional part 31/38 in the above expression:
= 3 + 0.8158
= 3.8158
145/38 = 3.8158

Hence,
145/38 as a decimal is 3.8158
145/38 as a mixed number is 3 ³¹/₃₈