231/48 as a Decimal and Mixed Number

231/48 as a decimal and mixed number expansion provides the detailed information about what is 231/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

231/48 as a Decimal
231/48 = 4.8125
Hence,
231/48 as a decimal equals to 4.8125
where,
231/48 is a given fraction,
The decimal expansion of 231/48 is 4.8125

231/48 as a Mixed Number
231/48 = (192 + 39)/48
= 192/48 + 39/48
= 4 + 39/48
= 4 39/48
231/48 = 4 39/48

Hence,
231/48 as a mixed number is 4 ³⁹/₄₈
where,
231/48 is a given fraction,
4 ³⁹/₄₈ is the mixed number representation of 231/48.

The below work with steps provide the detailed information about how to convert fraction 231/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 231/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 231/48.

step 2 The numerator is greater than the denominator of the fraction 231/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 231/48
= 192 + 39/48
= (4 x 48) + 39/48

step 3 Make the above expression as individual fractions:
= (4 x 48)/48 + 39/48

step 4 Simplify the above expression:
= 4 x 48/48 + 39/48
= 4 + 39/48
= 4 + 13 x 3/16 x 3
= 4 + 13/16
4 + 13/16 can be written as a mixed number 4 ¹³/₁₆.


step 5 Find the decimal equivalent for the fractional part 13/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 4 + (13/16 x 625/625)
= 4 + 8125/10000

step 6 Simplify the above expression further:
= 4 + 0.8125
= 4.8125
231/48 = 4.8125

Hence,
231/48 as a decimal is 4.8125
231/48 as a mixed number is 4 ¹³/₁₆