164/109 as a Decimal and Mixed Number

164/109 as a decimal and mixed number expansion provides the detailed information about what is 164/109 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/109 as a Decimal
164/109 = 1.5046
Hence,
164/109 as a decimal equals to 1.5046
where,
164/109 is a given fraction,
The decimal expansion of 164/109 is 1.5046

164/109 as a Mixed Number
164/109 = (109 + 55)/109
= 109/109 + 55/109
= 1 + 55/109
= 1 55/109
164/109 = 1 55/109

Hence,
164/109 as a mixed number is 1 ⁵⁵/₁₀₉
where,
164/109 is a given fraction,
1 ⁵⁵/₁₀₉ is the mixed number representation of 164/109.

The below work with steps provide the detailed information about how to convert fraction 164/109 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/109

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/109.

step 2 The numerator is greater than the denominator of the fraction 164/109, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/109
= 109 + 55/109

step 3 Make the above expression as individual fractions:
= 109/109 + 55/109

step 4 Simplify the above expression:
= 1 x 109/109 + 55/109
= 1 + 55/109
1 + 55/109 can be written as a mixed number 1 ⁵⁵/₁₀₉.


step 5 Find the decimal equivalent for the fractional part 55/109 in the above expression:
= 1 + 0.5046
= 1.5046
164/109 = 1.5046

Hence,
164/109 as a decimal is 1.5046
164/109 as a mixed number is 1 ⁵⁵/₁₀₉