164/116 as a Decimal and Mixed Number

164/116 as a decimal and mixed number expansion provides the detailed information about what is 164/116 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/116 as a Decimal
164/116 = 1.4138
Hence,
164/116 as a decimal equals to 1.4138
where,
164/116 is a given fraction,
The decimal expansion of 164/116 is 1.4138

164/116 as a Mixed Number
164/116 = (116 + 48)/116
= 116/116 + 48/116
= 1 + 48/116
= 1 48/116
164/116 = 1 48/116

Hence,
164/116 as a mixed number is 1 ⁴⁸/₁₁₆
where,
164/116 is a given fraction,
1 ⁴⁸/₁₁₆ is the mixed number representation of 164/116.

The below work with steps provide the detailed information about how to convert fraction 164/116 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/116

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/116.

step 2 The numerator is greater than the denominator of the fraction 164/116, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/116
= 116 + 48/116

step 3 Make the above expression as individual fractions:
= 116/116 + 48/116

step 4 Simplify the above expression:
= 1 x 116/116 + 48/116
= 1 + 48/116
= 1 + 12 x 4/29 x 4
= 1 + 12/29
1 + 12/29 can be written as a mixed number 1 ¹²/₂₉.


step 5 Find the decimal equivalent for the fractional part 12/29 in the above expression:
= 1 + 0.4138
= 1.4138
164/116 = 1.4138

Hence,
164/116 as a decimal is 1.4138
164/116 as a mixed number is 1 ¹²/₂₉