231/84 as a Decimal and Mixed Number

231/84 as a decimal and mixed number expansion provides the detailed information about what is 231/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

231/84 as a Decimal
231/84 = 2.75
Hence,
231/84 as a decimal equals to 2.75
where,
231/84 is a given fraction,
The decimal expansion of 231/84 is 2.75

231/84 as a Mixed Number
231/84 = (168 + 63)/84
= 168/84 + 63/84
= 2 + 63/84
= 2 63/84
231/84 = 2 63/84

Hence,
231/84 as a mixed number is 2 ⁶³/₈₄
where,
231/84 is a given fraction,
2 ⁶³/₈₄ is the mixed number representation of 231/84.

The below work with steps provide the detailed information about how to convert fraction 231/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 231/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 231/84.

step 2 The numerator is greater than the denominator of the fraction 231/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 231/84
= 168 + 63/84
= (2 x 84) + 63/84

step 3 Make the above expression as individual fractions:
= (2 x 84)/84 + 63/84

step 4 Simplify the above expression:
= 2 x 84/84 + 63/84
= 2 + 63/84
= 2 + 3 x 21/4 x 21
= 2 + 3/4
2 + 3/4 can be written as a mixed number 2 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (3/4 x 25/25)
= 2 + 75/100

step 6 Simplify the above expression further:
= 2 + 0.75
= 2.75
231/84 = 2.75

Hence,
231/84 as a decimal is 2.75
231/84 as a mixed number is 2 ³/₄