216/69 as a Decimal and Mixed Number

216/69 as a decimal and mixed number expansion provides the detailed information about what is 216/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

216/69 as a Decimal
216/69 = 3.1304
Hence,
216/69 as a decimal equals to 3.1304
where,
216/69 is a given fraction,
The decimal expansion of 216/69 is 3.1304

216/69 as a Mixed Number
216/69 = (207 + 9)/69
= 207/69 + 9/69
= 3 + 9/69
= 3 9/69
216/69 = 3 9/69

Hence,
216/69 as a mixed number is 3 ⁹/₆₉
where,
216/69 is a given fraction,
3 ⁹/₆₉ is the mixed number representation of 216/69.

The below work with steps provide the detailed information about how to convert fraction 216/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 216/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 216/69.

step 2 The numerator is greater than the denominator of the fraction 216/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 216/69
= 207 + 9/69
= (3 x 69) + 9/69

step 3 Make the above expression as individual fractions:
= (3 x 69)/69 + 9/69

step 4 Simplify the above expression:
= 3 x 69/69 + 9/69
= 3 + 9/69
= 3 + 3 x 3/23 x 3
= 3 + 3/23
3 + 3/23 can be written as a mixed number 3 ³/₂₃.


step 5 Find the decimal equivalent for the fractional part 3/23 in the above expression:
= 3 + 0.1304
= 3.1304
216/69 = 3.1304

Hence,
216/69 as a decimal is 3.1304
216/69 as a mixed number is 3 ³/₂₃