164/26 as a Decimal and Mixed Number

164/26 as a decimal and mixed number expansion provides the detailed information about what is 164/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/26 as a Decimal
164/26 = 6.3077
Hence,
164/26 as a decimal equals to 6.3077
where,
164/26 is a given fraction,
The decimal expansion of 164/26 is 6.3077

164/26 as a Mixed Number
164/26 = (156 + 8)/26
= 156/26 + 8/26
= 6 + 8/26
= 6 8/26
164/26 = 6 8/26

Hence,
164/26 as a mixed number is 6 ⁸/₂₆
where,
164/26 is a given fraction,
6 ⁸/₂₆ is the mixed number representation of 164/26.

The below work with steps provide the detailed information about how to convert fraction 164/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/26.

step 2 The numerator is greater than the denominator of the fraction 164/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/26
= 156 + 8/26
= (6 x 26) + 8/26

step 3 Make the above expression as individual fractions:
= (6 x 26)/26 + 8/26

step 4 Simplify the above expression:
= 6 x 26/26 + 8/26
= 6 + 8/26
= 6 + 4 x 2/13 x 2
= 6 + 4/13
6 + 4/13 can be written as a mixed number 6 ⁴/₁₃.


step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
= 6 + 0.3077
= 6.3077
164/26 = 6.3077

Hence,
164/26 as a decimal is 6.3077
164/26 as a mixed number is 6 ⁴/₁₃