165/116 as a Decimal and Mixed Number

165/116 as a decimal and mixed number expansion provides the detailed information about what is 165/116 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/116 as a Decimal
165/116 = 1.4224
Hence,
165/116 as a decimal equals to 1.4224
where,
165/116 is a given fraction,
The decimal expansion of 165/116 is 1.4224

165/116 as a Mixed Number
165/116 = (116 + 49)/116
= 116/116 + 49/116
= 1 + 49/116
= 1 49/116
165/116 = 1 49/116

Hence,
165/116 as a mixed number is 1 ⁴⁹/₁₁₆
where,
165/116 is a given fraction,
1 ⁴⁹/₁₁₆ is the mixed number representation of 165/116.

The below work with steps provide the detailed information about how to convert fraction 165/116 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/116

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/116.

step 2 The numerator is greater than the denominator of the fraction 165/116, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/116
= 116 + 49/116

step 3 Make the above expression as individual fractions:
= 116/116 + 49/116

step 4 Simplify the above expression:
= 1 x 116/116 + 49/116
= 1 + 49/116
1 + 49/116 can be written as a mixed number 1 ⁴⁹/₁₁₆.


step 5 Find the decimal equivalent for the fractional part 49/116 in the above expression:
= 1 + 0.4224
= 1.4224
165/116 = 1.4224

Hence,
165/116 as a decimal is 1.4224
165/116 as a mixed number is 1 ⁴⁹/₁₁₆