228/84 as a decimal and mixed number expansion provides the detailed information about what is 228/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
228/84 as a Decimal
228/84 = 2.7143
Hence,
228/84 as a decimal equals to 2.7143
where,
228/84 is a given fraction,
The decimal expansion of 228/84 is 2.7143
228/84 as a Mixed Number
228/84 = (168 + 60)/84
= 168/84 + 60/84
= 2 + 60/84
= 2 60/84
228/84 = 2 60/84
Hence,
228/84 as a mixed number is 2 60/84
where,
228/84 is a given fraction,
2 60/84 is the mixed number representation of 228/84.
The below work with steps provide the detailed information about how to convert fraction 228/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 228/84
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 228/84.
step 2 The numerator is greater than the denominator of the fraction 228/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 228/84
= 168 + 60/84
= (2 x 84) + 60/84
step 3 Make the above expression as individual fractions:
= (2 x 84)/84 + 60/84
step 4 Simplify the above expression:
= 2 x 84/84 + 60/84
= 2 + 60/84
= 2 + 5 x 12/7 x 12
= 2 + 5/7
2 + 5/7 can be written as a mixed number 2 5/7.
step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 2 + 0.7143
= 2.7143
228/84 = 2.7143
Hence,
228/84 as a decimal is 2.7143
228/84 as a mixed number is 2 5/7