69/38 as a Decimal and Mixed Number

69/38 as a decimal and mixed number expansion provides the detailed information about what is 69/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

69/38 as a Decimal
69/38 = 1.8158
Hence,
69/38 as a decimal equals to 1.8158
where,
69/38 is a given fraction,
The decimal expansion of 69/38 is 1.8158

69/38 as a Mixed Number
69/38 = (38 + 31)/38
= 38/38 + 31/38
= 1 + 31/38
= 1 31/38
69/38 = 1 31/38

Hence,
69/38 as a mixed number is 1 ³¹/₃₈
where,
69/38 is a given fraction,
1 ³¹/₃₈ is the mixed number representation of 69/38.

The below work with steps provide the detailed information about how to convert fraction 69/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 69/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 69/38.

step 2 The numerator is greater than the denominator of the fraction 69/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 69/38
= 38 + 31/38

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

step 4 Simplify the above expression:
= 1 x 38/38 + 31/38
= 1 + 31/38
1 + 31/38 can be written as a mixed number 1 ³¹/₃₈.


step 5 Find the decimal equivalent for the fractional part 31/38 in the above expression:
= 1 + 0.8158
= 1.8158
69/38 = 1.8158

Hence,
69/38 as a decimal is 1.8158
69/38 as a mixed number is 1 ³¹/₃₈