216/84 as a Decimal and Mixed Number

216/84 as a decimal and mixed number expansion provides the detailed information about what is 216/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

216/84 as a Decimal
216/84 = 2.5714
Hence,
216/84 as a decimal equals to 2.5714
where,
216/84 is a given fraction,
The decimal expansion of 216/84 is 2.5714

216/84 as a Mixed Number
216/84 = (168 + 48)/84
= 168/84 + 48/84
= 2 + 48/84
= 2 48/84
216/84 = 2 48/84

Hence,
216/84 as a mixed number is 2 ⁴⁸/₈₄
where,
216/84 is a given fraction,
2 ⁴⁸/₈₄ is the mixed number representation of 216/84.

The below work with steps provide the detailed information about how to convert fraction 216/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 216/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 216/84.

step 2 The numerator is greater than the denominator of the fraction 216/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 216/84
= 168 + 48/84
= (2 x 84) + 48/84

step 3 Make the above expression as individual fractions:
= (2 x 84)/84 + 48/84

step 4 Simplify the above expression:
= 2 x 84/84 + 48/84
= 2 + 48/84
= 2 + 4 x 12/7 x 12
= 2 + 4/7
2 + 4/7 can be written as a mixed number 2 ⁴/₇.


step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
= 2 + 0.5714
= 2.5714
216/84 = 2.5714

Hence,
216/84 as a decimal is 2.5714
216/84 as a mixed number is 2 ⁴/₇