204/42 as a Decimal and Mixed Number
204/42 as a decimal and mixed number expansion provides the detailed information about what is 204/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
204/42 as a Decimal
204/42 = 4.8571
Hence,
204/42 as a decimal equals to 4.8571
where,
204/42 is a given fraction,
The decimal expansion of 204/42 is 4.8571
204/42 as a Mixed Number
204/42 = (168 + 36)/42
= 168/42 + 36/42
= 4 + 36/42
= 4 36/42
204/42 = 4 36/42
Hence,
204/42 as a mixed number is 4 36/42
where,
204/42 is a given fraction,
4 36/42 is the mixed number representation of 204/42.
How-to: 204/42 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 204/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/42
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/42.
step 2 The numerator is greater than the denominator of the fraction 204/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/42
= 168 + 36/42
= (4 x 42) + 36/42
step 3 Make the above expression as individual fractions:
= (4 x 42)/42 + 36/42
step 4 Simplify the above expression:
= 4 x 42/42 + 36/42
= 4 + 36/42
= 4 + 6 x 6/7 x 6
= 4 + 6/7
4 + 6/7 can be written as a mixed number 4 6/7.
step 5 Find the decimal equivalent for the fractional part 6/7 in the above expression:
= 4 + 0.8571
= 4.8571
204/42 = 4.8571
Hence,
204/42 as a decimal is 4.8571
204/42 as a mixed number is 4 6/7