204/74 as a Decimal and Mixed Number

204/74 as a decimal and mixed number expansion provides the detailed information about what is 204/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/74 as a Decimal
204/74 = 2.7568
Hence,
204/74 as a decimal equals to 2.7568
where,
204/74 is a given fraction,
The decimal expansion of 204/74 is 2.7568

204/74 as a Mixed Number
204/74 = (148 + 56)/74
= 148/74 + 56/74
= 2 + 56/74
= 2 56/74
204/74 = 2 56/74

Hence,
204/74 as a mixed number is 2 ⁵⁶/₇₄
where,
204/74 is a given fraction,
2 ⁵⁶/₇₄ is the mixed number representation of 204/74.

The below work with steps provide the detailed information about how to convert fraction 204/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/74

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/74.

step 2 The numerator is greater than the denominator of the fraction 204/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/74
= 148 + 56/74
= (2 x 74) + 56/74

step 3 Make the above expression as individual fractions:
= (2 x 74)/74 + 56/74

step 4 Simplify the above expression:
= 2 x 74/74 + 56/74
= 2 + 56/74
= 2 + 28 x 2/37 x 2
= 2 + 28/37
2 + 28/37 can be written as a mixed number 2 ²⁸/₃₇.


step 5 Find the decimal equivalent for the fractional part 28/37 in the above expression:
= 2 + 0.7568
= 2.7568
204/74 = 2.7568

Hence,
204/74 as a decimal is 2.7568
204/74 as a mixed number is 2 ²⁸/₃₇