200/84 as a Decimal and Mixed Number

200/84 as a decimal and mixed number expansion provides the detailed information about what is 200/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/84 as a Decimal
200/84 = 2.381
Hence,
200/84 as a decimal equals to 2.381
where,
200/84 is a given fraction,
The decimal expansion of 200/84 is 2.381

200/84 as a Mixed Number
200/84 = (168 + 32)/84
= 168/84 + 32/84
= 2 + 32/84
= 2 32/84
200/84 = 2 32/84

Hence,
200/84 as a mixed number is 2 ³²/₈₄
where,
200/84 is a given fraction,
2 ³²/₈₄ is the mixed number representation of 200/84.

The below work with steps provide the detailed information about how to convert fraction 200/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/84.

step 2 The numerator is greater than the denominator of the fraction 200/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/84
= 168 + 32/84
= (2 x 84) + 32/84

step 3 Make the above expression as individual fractions:
= (2 x 84)/84 + 32/84

step 4 Simplify the above expression:
= 2 x 84/84 + 32/84
= 2 + 32/84
= 2 + 8 x 4/21 x 4
= 2 + 8/21
2 + 8/21 can be written as a mixed number 2 ⁸/₂₁.


step 5 Find the decimal equivalent for the fractional part 8/21 in the above expression:
= 2 + 0.381
= 2.381
200/84 = 2.381

Hence,
200/84 as a decimal is 2.381
200/84 as a mixed number is 2 ⁸/₂₁