216/48 as a Decimal and Mixed Number

216/48 as a decimal and mixed number expansion provides the detailed information about what is 216/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

216/48 as a Decimal
216/48 = 4.5
Hence,
216/48 as a decimal equals to 4.5
where,
216/48 is a given fraction,
The decimal expansion of 216/48 is 4.5

216/48 as a Mixed Number
216/48 = (192 + 24)/48
= 192/48 + 24/48
= 4 + 24/48
= 4 24/48
216/48 = 4 24/48

Hence,
216/48 as a mixed number is 4 ²⁴/₄₈
where,
216/48 is a given fraction,
4 ²⁴/₄₈ is the mixed number representation of 216/48.

The below work with steps provide the detailed information about how to convert fraction 216/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 216/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 216/48.

step 2 The numerator is greater than the denominator of the fraction 216/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 216/48
= 192 + 24/48
= (4 x 48) + 24/48

step 3 Make the above expression as individual fractions:
= (4 x 48)/48 + 24/48

step 4 Simplify the above expression:
= 4 x 48/48 + 24/48
= 4 + 24/48
= 4 + 1 x 24/2 x 24
= 4 + 1/2
4 + 1/2 can be written as a mixed number 4 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 4 + (1/2 x 5/5)
= 4 + 5/10

step 6 Simplify the above expression further:
= 4 + 0.5
= 4.5
216/48 = 4.5

Hence,
216/48 as a decimal is 4.5
216/48 as a mixed number is 4 ¹/₂