115/38 as a decimal and mixed number expansion provides the detailed information about what is 115/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
115/38 as a Decimal
115/38 = 3.0263
Hence,
115/38 as a decimal equals to 3.0263
where,
115/38 is a given fraction,
The decimal expansion of 115/38 is 3.0263
115/38 as a Mixed Number
115/38 = (114 + 1)/38
= 114/38 + 1/38
= 3 + 1/38
= 3 1/38
115/38 = 3 1/38
Hence,
115/38 as a mixed number is 3 1/38
where,
115/38 is a given fraction,
3 1/38 is the mixed number representation of 115/38.
The below work with steps provide the detailed information about how to convert fraction 115/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 115/38
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 115/38.
step 2 The numerator is greater than the denominator of the fraction 115/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 115/38
= 114 + 1/38
= (3 x 38) + 1/38
step 3 Make the above expression as individual fractions:
= (3 x 38)/38 + 1/38
step 4 Simplify the above expression:
= 3 x 38/38 + 1/38
= 3 + 1/38
3 + 1/38 can be written as a mixed number 3 1/38.
step 5 Find the decimal equivalent for the fractional part 1/38 in the above expression:
= 3 + 0.0263
= 3.0263
115/38 = 3.0263
Hence,
115/38 as a decimal is 3.0263
115/38 as a mixed number is 3 1/38