166/146 as a Decimal and Mixed Number

166/146 as a decimal and mixed number expansion provides the detailed information about what is 166/146 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

166/146 as a Decimal
166/146 = 1.137
Hence,
166/146 as a decimal equals to 1.137
where,
166/146 is a given fraction,
The decimal expansion of 166/146 is 1.137

166/146 as a Mixed Number
166/146 = (146 + 20)/146
= 146/146 + 20/146
= 1 + 20/146
= 1 20/146
166/146 = 1 20/146

Hence,
166/146 as a mixed number is 1 ²⁰/₁₄₆
where,
166/146 is a given fraction,
1 ²⁰/₁₄₆ is the mixed number representation of 166/146.

The below work with steps provide the detailed information about how to convert fraction 166/146 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 166/146

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 166/146.

step 2 The numerator is greater than the denominator of the fraction 166/146, so write the given fraction in the expression form in terms of denominator as like the below:
= 166/146
= 146 + 20/146

step 3 Make the above expression as individual fractions:
= 146/146 + 20/146

step 4 Simplify the above expression:
= 1 x 146/146 + 20/146
= 1 + 20/146
= 1 + 10 x 2/73 x 2
= 1 + 10/73
1 + 10/73 can be written as a mixed number 1 ¹⁰/₇₃.


step 5 Find the decimal equivalent for the fractional part 10/73 in the above expression:
= 1 + 0.137
= 1.137
166/146 = 1.137

Hence,
166/146 as a decimal is 1.137
166/146 as a mixed number is 1 ¹⁰/₇₃