189/162 as a Decimal and Mixed Number

189/162 as a decimal and mixed number expansion provides the detailed information about what is 189/162 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/162 as a Decimal
189/162 = 1.1667
Hence,
189/162 as a decimal equals to 1.1667
where,
189/162 is a given fraction,
The decimal expansion of 189/162 is 1.1667

189/162 as a Mixed Number
189/162 = (162 + 27)/162
= 162/162 + 27/162
= 1 + 27/162
= 1 27/162
189/162 = 1 27/162

Hence,
189/162 as a mixed number is 1 ²⁷/₁₆₂
where,
189/162 is a given fraction,
1 ²⁷/₁₆₂ is the mixed number representation of 189/162.

The below work with steps provide the detailed information about how to convert fraction 189/162 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/162

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/162.

step 2 The numerator is greater than the denominator of the fraction 189/162, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/162
= 162 + 27/162

step 3 Make the above expression as individual fractions:
= 162/162 + 27/162

step 4 Simplify the above expression:
= 1 x 162/162 + 27/162
= 1 + 27/162
= 1 + 1 x 27/6 x 27
= 1 + 1/6
1 + 1/6 can be written as a mixed number 1 ¹/₆.


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 1 + 0.1667
= 1.1667
189/162 = 1.1667

Hence,
189/162 as a decimal is 1.1667
189/162 as a mixed number is 1 ¹/₆