300/54 as a Decimal and Mixed Number

300/54 as a decimal and mixed number expansion provides the detailed information about what is 300/54 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/54 as a Decimal
300/54 = 5.5556
Hence,
300/54 as a decimal equals to 5.5556
where,
300/54 is a given fraction,
The decimal expansion of 300/54 is 5.5556

300/54 as a Mixed Number
300/54 = (270 + 30)/54
= 270/54 + 30/54
= 5 + 30/54
= 5 30/54
300/54 = 5 30/54

Hence,
300/54 as a mixed number is 5 ³⁰/₅₄
where,
300/54 is a given fraction,
5 ³⁰/₅₄ is the mixed number representation of 300/54.

The below work with steps provide the detailed information about how to convert fraction 300/54 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/54

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/54.

step 2 The numerator is greater than the denominator of the fraction 300/54, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/54
= 270 + 30/54
= (5 x 54) + 30/54

step 3 Make the above expression as individual fractions:
= (5 x 54)/54 + 30/54

step 4 Simplify the above expression:
= 5 x 54/54 + 30/54
= 5 + 30/54
= 5 + 5 x 6/9 x 6
= 5 + 5/9
5 + 5/9 can be written as a mixed number 5 ⁵/₉.


step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
= 5 + 0.5556
= 5.5556
300/54 = 5.5556

Hence,
300/54 as a decimal is 5.5556
300/54 as a mixed number is 5 ⁵/₉