180/26 as a Decimal and Mixed Number

180/26 as a decimal and mixed number expansion provides the detailed information about what is 180/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/26 as a Decimal
180/26 = 6.9231
Hence,
180/26 as a decimal equals to 6.9231
where,
180/26 is a given fraction,
The decimal expansion of 180/26 is 6.9231

180/26 as a Mixed Number
180/26 = (156 + 24)/26
= 156/26 + 24/26
= 6 + 24/26
= 6 24/26
180/26 = 6 24/26

Hence,
180/26 as a mixed number is 6 ²⁴/₂₆
where,
180/26 is a given fraction,
6 ²⁴/₂₆ is the mixed number representation of 180/26.

The below work with steps provide the detailed information about how to convert fraction 180/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/26.

step 2 The numerator is greater than the denominator of the fraction 180/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/26
= 156 + 24/26
= (6 x 26) + 24/26

step 3 Make the above expression as individual fractions:
= (6 x 26)/26 + 24/26

step 4 Simplify the above expression:
= 6 x 26/26 + 24/26
= 6 + 24/26
= 6 + 12 x 2/13 x 2
= 6 + 12/13
6 + 12/13 can be written as a mixed number 6 ¹²/₁₃.


step 5 Find the decimal equivalent for the fractional part 12/13 in the above expression:
= 6 + 0.9231
= 6.9231
180/26 = 6.9231

Hence,
180/26 as a decimal is 6.9231
180/26 as a mixed number is 6 ¹²/₁₃