11/4 as a Decimal and Mixed Number

11/4 as a decimal and mixed number expansion provides the detailed information about what is 11/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

11/4 as a Decimal
11/4 = 2.75
Hence,
11/4 as a decimal equals to 2.75
where,
11/4 is a given fraction,
The decimal expansion of 11/4 is 2.75

11/4 as a Mixed Number
11/4 = (8 + 3)/4
= 8/4 + 3/4
= 2 + 3/4
= 2 3/4
11/4 = 2 3/4

Hence,
11/4 as a mixed number is 2 ³/₄
where,
11/4 is a given fraction,
2 ³/₄ is the mixed number representation of 11/4.

The below work with steps provide the detailed information about how to convert fraction 11/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 11/4

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 11/4.

step 2 The numerator is greater than the denominator of the fraction 11/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 11/4
= 8 + 3/4
= (2 x 4) + 3/4

step 3 Make the above expression as individual fractions:
= (2 x 4)/4 + 3/4

step 4 Simplify the above expression:
= 2 x 4/4 + 3/4
= 2 + 3/4
2 + 3/4 can be written as a mixed number 2 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (3/4 x 25/25)
= 2 + 75/100

step 6 Simplify the above expression further:
= 2 + 0.75
= 2.75
11/4 = 2.75

Hence,
11/4 as a decimal is 2.75
11/4 as a mixed number is 2 ³/₄