204/75 as a Decimal and Mixed Number
204/75 as a decimal and mixed number expansion provides the detailed information about what is 204/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
204/75 as a Decimal
204/75 = 2.72
Hence,
204/75 as a decimal equals to 2.72
where,
204/75 is a given fraction,
The decimal expansion of 204/75 is 2.72
204/75 as a Mixed Number
204/75 = (150 + 54)/75
= 150/75 + 54/75
= 2 + 54/75
= 2 54/75
204/75 = 2 54/75
Hence,
204/75 as a mixed number is 2 54/75
where,
204/75 is a given fraction,
2 54/75 is the mixed number representation of 204/75.
How-to: 204/75 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 204/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/75
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/75.
step 2 The numerator is greater than the denominator of the fraction 204/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/75
= 150 + 54/75
= (2 x 75) + 54/75
step 3 Make the above expression as individual fractions:
= (2 x 75)/75 + 54/75
step 4 Simplify the above expression:
= 2 x 75/75 + 54/75
= 2 + 54/75
= 2 + 18 x 3/25 x 3
= 2 + 18/25
2 + 18/25 can be written as a mixed number 2 18/25.
step 5 Find the decimal equivalent for the fractional part 18/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 2 + (18/25 x 4/4)
= 2 + 72/100
step 6 Simplify the above expression further:
= 2 + 0.72
= 2.72
204/75 = 2.72
Hence,
204/75 as a decimal is 2.72
204/75 as a mixed number is 2 18/25