228/216 as a decimal and mixed number expansion provides the detailed information about what is 228/216 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
228/216 as a Decimal
228/216 = 1.0556
Hence,
228/216 as a decimal equals to 1.0556
where,
228/216 is a given fraction,
The decimal expansion of 228/216 is 1.0556
228/216 as a Mixed Number
228/216 = (216 + 12)/216
= 216/216 + 12/216
= 1 + 12/216
= 1 12/216
228/216 = 1 12/216
Hence,
228/216 as a mixed number is 1 12/216
where,
228/216 is a given fraction,
1 12/216 is the mixed number representation of 228/216.
The below work with steps provide the detailed information about how to convert fraction 228/216 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 228/216
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 228/216.
step 2 The numerator is greater than the denominator of the fraction 228/216, so write the given fraction in the expression form in terms of denominator as like the below:
= 228/216
= 216 + 12/216
step 3 Make the above expression as individual fractions:
= 216/216 + 12/216
step 4 Simplify the above expression:
= 1 x 216/216 + 12/216
= 1 + 12/216
= 1 + 1 x 12/18 x 12
= 1 + 1/18
1 + 1/18 can be written as a mixed number 1 1/18.
step 5 Find the decimal equivalent for the fractional part 1/18 in the above expression:
= 1 + 0.0556
= 1.0556
228/216 = 1.0556
Hence,
228/216 as a decimal is 1.0556
228/216 as a mixed number is 1 1/18