258/27 as a Decimal and Mixed Number

258/27 as a decimal and mixed number expansion provides the detailed information about what is 258/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

258/27 as a Decimal
258/27 = 9.5556
Hence,
258/27 as a decimal equals to 9.5556
where,
258/27 is a given fraction,
The decimal expansion of 258/27 is 9.5556

258/27 as a Mixed Number
258/27 = (243 + 15)/27
= 243/27 + 15/27
= 9 + 15/27
= 9 15/27
258/27 = 9 15/27

Hence,
258/27 as a mixed number is 9 ¹⁵/₂₇
where,
258/27 is a given fraction,
9 ¹⁵/₂₇ is the mixed number representation of 258/27.

The below work with steps provide the detailed information about how to convert fraction 258/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 258/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 258/27.

step 2 The numerator is greater than the denominator of the fraction 258/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 258/27
= 243 + 15/27
= (9 x 27) + 15/27

step 3 Make the above expression as individual fractions:
= (9 x 27)/27 + 15/27

step 4 Simplify the above expression:
= 9 x 27/27 + 15/27
= 9 + 15/27
= 9 + 5 x 3/9 x 3
= 9 + 5/9
9 + 5/9 can be written as a mixed number 9 ⁵/₉.


step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
= 9 + 0.5556
= 9.5556
258/27 = 9.5556

Hence,
258/27 as a decimal is 9.5556
258/27 as a mixed number is 9 ⁵/₉