19/4 as a Decimal and Mixed Number

The below work with steps provide the detailed information about how to convert fraction 19/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 19/4

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 19/4.

step 2 The numerator is greater than the denominator of the fraction 19/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 19/4
= 16 + 3/4
= (4 x 4) + 3/4

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

step 4 Simplify the above expression:
= 4 x 4/4 + 3/4
= 4 + 3/4
4 + 3/4 can be written as a mixed number 4 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.
= 4 + (3/4 x 10/10)

step 6 Simplify the above expression further:
= 4 + (30/4 x 1/10)
= 4 + (28 + 2/4 x 1/10)
= 4 + [(28/4 + 2/4 ) x 1/10]
= 4 + [(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:
= 4 + [(7 + 2/4) x 1/10]
= 4 + [(7 + 0.5) x 1/10]
= 4 + (7.5 x 1/10)
= 4 + 7.5/10
= 4 + 0.75

step 8 Find the sum of above expression:
= 4 + 0.75
= 4.75
19/4 = 4.75

Hence,
19/4 as a decimal is 4.75
19/4 as a mixed number is 4 ³/₄