180/164 as a Decimal and Mixed Number

180/164 as a decimal and mixed number expansion provides the detailed information about what is 180/164 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/164 as a Decimal
180/164 = 1.0976
Hence,
180/164 as a decimal equals to 1.0976
where,
180/164 is a given fraction,
The decimal expansion of 180/164 is 1.0976

180/164 as a Mixed Number
180/164 = (164 + 16)/164
= 164/164 + 16/164
= 1 + 16/164
= 1 16/164
180/164 = 1 16/164

Hence,
180/164 as a mixed number is 1 ¹⁶/₁₆₄
where,
180/164 is a given fraction,
1 ¹⁶/₁₆₄ is the mixed number representation of 180/164.

The below work with steps provide the detailed information about how to convert fraction 180/164 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/164

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/164.

step 2 The numerator is greater than the denominator of the fraction 180/164, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/164
= 164 + 16/164

step 3 Make the above expression as individual fractions:
= 164/164 + 16/164

step 4 Simplify the above expression:
= 1 x 164/164 + 16/164
= 1 + 16/164
= 1 + 4 x 4/41 x 4
= 1 + 4/41
1 + 4/41 can be written as a mixed number 1 ⁴/₄₁.


step 5 Find the decimal equivalent for the fractional part 4/41 in the above expression:
= 1 + 0.0976
= 1.0976
180/164 = 1.0976

Hence,
180/164 as a decimal is 1.0976
180/164 as a mixed number is 1 ⁴/₄₁