130/38 as a Decimal and Mixed Number
130/38 as a decimal and mixed number expansion provides the detailed information about what is 130/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
130/38 as a Decimal
130/38 = 3.4211
Hence,
130/38 as a decimal equals to 3.4211
where,
130/38 is a given fraction,
The decimal expansion of 130/38 is 3.4211
130/38 as a Mixed Number
130/38 = (114 + 16)/38
= 114/38 + 16/38
= 3 + 16/38
= 3 16/38
130/38 = 3 16/38
Hence,
130/38 as a mixed number is 3 16/38
where,
130/38 is a given fraction,
3 16/38 is the mixed number representation of 130/38.
How-to: 130/38 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 130/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 130/38
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 130/38.
step 2 The numerator is greater than the denominator of the fraction 130/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 130/38
= 114 + 16/38
= (3 x 38) + 16/38
step 3 Make the above expression as individual fractions:
= (3 x 38)/38 + 16/38
step 4 Simplify the above expression:
= 3 x 38/38 + 16/38
= 3 + 16/38
= 3 + 8 x 2/19 x 2
= 3 + 8/19
3 + 8/19 can be written as a mixed number 3 8/19.
step 5 Find the decimal equivalent for the fractional part 8/19 in the above expression:
= 3 + 0.4211
= 3.4211
130/38 = 3.4211
Hence,
130/38 as a decimal is 3.4211
130/38 as a mixed number is 3 8/19