265/48 as a Decimal and Mixed Number

265/48 as a decimal and mixed number expansion provides the detailed information about what is 265/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

265/48 as a Decimal
265/48 = 5.5208
Hence,
265/48 as a decimal equals to 5.5208
where,
265/48 is a given fraction,
The decimal expansion of 265/48 is 5.5208

265/48 as a Mixed Number
265/48 = (240 + 25)/48
= 240/48 + 25/48
= 5 + 25/48
= 5 25/48
265/48 = 5 25/48

Hence,
265/48 as a mixed number is 5 ²⁵/₄₈
where,
265/48 is a given fraction,
5 ²⁵/₄₈ is the mixed number representation of 265/48.

The below work with steps provide the detailed information about how to convert fraction 265/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 265/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 265/48.

step 2 The numerator is greater than the denominator of the fraction 265/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 265/48
= 240 + 25/48
= (5 x 48) + 25/48

step 3 Make the above expression as individual fractions:
= (5 x 48)/48 + 25/48

step 4 Simplify the above expression:
= 5 x 48/48 + 25/48
= 5 + 25/48
5 + 25/48 can be written as a mixed number 5 ²⁵/₄₈.


step 5 Find the decimal equivalent for the fractional part 25/48 in the above expression:
= 5 + 0.5208
= 5.5208
265/48 = 5.5208

Hence,
265/48 as a decimal is 5.5208
265/48 as a mixed number is 5 ²⁵/₄₈