23/4 as a Decimal and Mixed Number

23/4 as a decimal and mixed number expansion provides the detailed information about what is 23/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

23/4 as a Decimal Expansion
23/4 = 5.75
Hence,
23/4 as a decimal equals to 5.75
where,
23/4 is a given fraction,
The decimal expansion of 23/4 is 5.75

23/4 as a Mixed Number
23/4 = (20 + 3)/4
= 20/4 + 3/4
= 5 + 3/4
= 5 3/4
23/4 = 5 3/4

Hence,
23/4 as a mixed number is 5 ³/₄
where,
23/4 is a given fraction,
5 ³/₄ is the mixed number representation of 23/4.

The below work with steps provide the detailed information about how to convert fraction 23/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/4

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 23/4.

step 2 The numerator is greater than the denominator of the fraction 23/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 23/4
= 20 + 3/4
= (5 x 4) + 3/4

step 3 Make the above expression as individual fractions:
= (5 x 4)/4 + 3/4

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


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/4. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 3/4.
= 5 + (3/4 x 10/10)

step 6 Simplify the above expression further:
= 5 + (30/4 x 1/10)
= 5 + (28 + 2/4 x 1/10)
= 5 + [(28/4 + 2/4 ) x 1/10]
= 5 + [(7 + 2/4) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/4 in the above expression:
= 5 + [(7 + 2/4) x 1/10]
= 5 + [(7 + 0.5) x 1/10]
= 5 + (7.5 x 1/10)
= 5 + 7.5/10
= 5 + 0.75

step 8 Find the sum of above expression:
= 5 + 0.75
= 5.75
23/4 = 5.75

Hence,
23/4 as a decimal is 5.75
23/4 as a mixed number is 5 ³/₄