89/23 as a Decimal and Mixed Number

89/23 as a decimal and mixed number expansion provides the detailed information about what is 89/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

89/23 as a Decimal
89/23 = 3.8696
Hence,
89/23 as a decimal equals to 3.8696
where,
89/23 is a given fraction,
The decimal expansion of 89/23 is 3.8696

89/23 as a Mixed Number
89/23 = (69 + 20)/23
= 69/23 + 20/23
= 3 + 20/23
= 3 20/23
89/23 = 3 20/23

Hence,
89/23 as a mixed number is 3 ²⁰/₂₃
where,
89/23 is a given fraction,
3 ²⁰/₂₃ is the mixed number representation of 89/23.

The below work with steps provide the detailed information about how to convert fraction 89/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 89/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 89/23.

step 2 The numerator is greater than the denominator of the fraction 89/23, so write the given fraction in the expression form in terms of denominator as like the below:
= 89/23
= 69 + 20/23
= (3 x 23) + 20/23

step 3 Make the above expression as individual fractions:
= (3 x 23)/23 + 20/23

step 4 Simplify the above expression:
= 3 x 23/23 + 20/23
= 3 + 20/23
3 + 20/23 can be written as a mixed number 3 ²⁰/₂₃.


step 5 Find the decimal equivalent for the fractional part 20/23 in the above expression:
= 3 + 0.8696
= 3.8696
89/23 = 3.8696

Hence,
89/23 as a decimal is 3.8696
89/23 as a mixed number is 3 ²⁰/₂₃