243/84 as a decimal and mixed number expansion provides the detailed information about what is 243/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
243/84 as a Decimal
243/84 = 2.8929
Hence,
243/84 as a decimal equals to 2.8929
where,
243/84 is a given fraction,
The decimal expansion of 243/84 is 2.8929
243/84 as a Mixed Number
243/84 = (168 + 75)/84
= 168/84 + 75/84
= 2 + 75/84
= 2 75/84
243/84 = 2 75/84
Hence,
243/84 as a mixed number is 2 75/84
where,
243/84 is a given fraction,
2 75/84 is the mixed number representation of 243/84.
The below work with steps provide the detailed information about how to convert fraction 243/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 243/84
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 243/84.
step 2 The numerator is greater than the denominator of the fraction 243/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 243/84
= 168 + 75/84
= (2 x 84) + 75/84
step 3 Make the above expression as individual fractions:
= (2 x 84)/84 + 75/84
step 4 Simplify the above expression:
= 2 x 84/84 + 75/84
= 2 + 75/84
= 2 + 25 x 3/28 x 3
= 2 + 25/28
2 + 25/28 can be written as a mixed number 2 25/28.
step 5 Find the decimal equivalent for the fractional part 25/28 in the above expression:
= 2 + 0.8929
= 2.8929
243/84 = 2.8929
Hence,
243/84 as a decimal is 2.8929
243/84 as a mixed number is 2 25/28