164/69 as a Decimal and Mixed Number

164/69 as a decimal and mixed number expansion provides the detailed information about what is 164/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/69 as a Decimal
164/69 = 2.3768
Hence,
164/69 as a decimal equals to 2.3768
where,
164/69 is a given fraction,
The decimal expansion of 164/69 is 2.3768

164/69 as a Mixed Number
164/69 = (138 + 26)/69
= 138/69 + 26/69
= 2 + 26/69
= 2 26/69
164/69 = 2 26/69

Hence,
164/69 as a mixed number is 2 ²⁶/₆₉
where,
164/69 is a given fraction,
2 ²⁶/₆₉ is the mixed number representation of 164/69.

The below work with steps provide the detailed information about how to convert fraction 164/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/69.

step 2 The numerator is greater than the denominator of the fraction 164/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/69
= 138 + 26/69
= (2 x 69) + 26/69

step 3 Make the above expression as individual fractions:
= (2 x 69)/69 + 26/69

step 4 Simplify the above expression:
= 2 x 69/69 + 26/69
= 2 + 26/69
2 + 26/69 can be written as a mixed number 2 ²⁶/₆₉.


step 5 Find the decimal equivalent for the fractional part 26/69 in the above expression:
= 2 + 0.3768
= 2.3768
164/69 = 2.3768

Hence,
164/69 as a decimal is 2.3768
164/69 as a mixed number is 2 ²⁶/₆₉