300/108 as a Decimal and Mixed Number

300/108 as a decimal and mixed number expansion provides the detailed information about what is 300/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/108 as a Decimal
300/108 = 2.7778
Hence,
300/108 as a decimal equals to 2.7778
where,
300/108 is a given fraction,
The decimal expansion of 300/108 is 2.7778

300/108 as a Mixed Number
300/108 = (216 + 84)/108
= 216/108 + 84/108
= 2 + 84/108
= 2 84/108
300/108 = 2 84/108

Hence,
300/108 as a mixed number is 2 ⁸⁴/₁₀₈
where,
300/108 is a given fraction,
2 ⁸⁴/₁₀₈ is the mixed number representation of 300/108.

The below work with steps provide the detailed information about how to convert fraction 300/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/108.

step 2 The numerator is greater than the denominator of the fraction 300/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/108
= 216 + 84/108
= (2 x 108) + 84/108

step 3 Make the above expression as individual fractions:
= (2 x 108)/108 + 84/108

step 4 Simplify the above expression:
= 2 x 108/108 + 84/108
= 2 + 84/108
= 2 + 7 x 12/9 x 12
= 2 + 7/9
2 + 7/9 can be written as a mixed number 2 ⁷/₉.


step 5 Find the decimal equivalent for the fractional part 7/9 in the above expression:
= 2 + 0.7778
= 2.7778
300/108 = 2.7778

Hence,
300/108 as a decimal is 2.7778
300/108 as a mixed number is 2 ⁷/₉