166/138 as a Decimal and Mixed Number

166/138 as a decimal and mixed number expansion provides the detailed information about what is 166/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

166/138 as a Decimal
166/138 = 1.2029
Hence,
166/138 as a decimal equals to 1.2029
where,
166/138 is a given fraction,
The decimal expansion of 166/138 is 1.2029

166/138 as a Mixed Number
166/138 = (138 + 28)/138
= 138/138 + 28/138
= 1 + 28/138
= 1 28/138
166/138 = 1 28/138

Hence,
166/138 as a mixed number is 1 ²⁸/₁₃₈
where,
166/138 is a given fraction,
1 ²⁸/₁₃₈ is the mixed number representation of 166/138.

The below work with steps provide the detailed information about how to convert fraction 166/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 166/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 166/138.

step 2 The numerator is greater than the denominator of the fraction 166/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 166/138
= 138 + 28/138

step 3 Make the above expression as individual fractions:
= 138/138 + 28/138

step 4 Simplify the above expression:
= 1 x 138/138 + 28/138
= 1 + 28/138
= 1 + 14 x 2/69 x 2
= 1 + 14/69
1 + 14/69 can be written as a mixed number 1 ¹⁴/₆₉.


step 5 Find the decimal equivalent for the fractional part 14/69 in the above expression:
= 1 + 0.2029
= 1.2029
166/138 = 1.2029

Hence,
166/138 as a decimal is 1.2029
166/138 as a mixed number is 1 ¹⁴/₆₉