300/204 as a Decimal and Mixed Number

300/204 as a decimal and mixed number expansion provides the detailed information about what is 300/204 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/204 as a Decimal
300/204 = 1.4706
Hence,
300/204 as a decimal equals to 1.4706
where,
300/204 is a given fraction,
The decimal expansion of 300/204 is 1.4706

300/204 as a Mixed Number
300/204 = (204 + 96)/204
= 204/204 + 96/204
= 1 + 96/204
= 1 96/204
300/204 = 1 96/204

Hence,
300/204 as a mixed number is 1 ⁹⁶/₂₀₄
where,
300/204 is a given fraction,
1 ⁹⁶/₂₀₄ is the mixed number representation of 300/204.

The below work with steps provide the detailed information about how to convert fraction 300/204 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/204

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/204.

step 2 The numerator is greater than the denominator of the fraction 300/204, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/204
= 204 + 96/204

step 3 Make the above expression as individual fractions:
= 204/204 + 96/204

step 4 Simplify the above expression:
= 1 x 204/204 + 96/204
= 1 + 96/204
= 1 + 8 x 12/17 x 12
= 1 + 8/17
1 + 8/17 can be written as a mixed number 1 ⁸/₁₇.


step 5 Find the decimal equivalent for the fractional part 8/17 in the above expression:
= 1 + 0.4706
= 1.4706
300/204 = 1.4706

Hence,
300/204 as a decimal is 1.4706
300/204 as a mixed number is 1 ⁸/₁₇