19/16 as a Decimal and Mixed Number

19/16 as a decimal and mixed number expansion provides the detailed information about what is 19/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

19/16 as a Decimal Expansion
19/16 = 1.1875
Hence,
19/16 as a decimal equals to 1.1875
where,
19/16 is a given fraction,
The decimal expansion of 19/16 is 1.1875

19/16 as a Mixed Number
19/16 = (16 + 3)/16
= 16/16 + 3/16
= 1 + 3/16
= 1 3/16
19/16 = 1 3/16

Hence,
19/16 as a mixed number is 1 ³/₁₆
where,
19/16 is a given fraction,
1 ³/₁₆ is the mixed number representation of 19/16.

The below work with steps provide the detailed information about how to convert fraction 19/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 19/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 19/16.

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

step 3 Make the above expression as individual fractions:
= 16/16 + 3/16

step 4 Simplify the above expression:
= 1 x 16/16 + 3/16
= 1 + 3/16
1 + 3/16 can be written as a mixed number 1 ³/₁₆.


step 5 Find the decimal equivalent for the fractional part 3/16 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/16. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 3/16.
= 1 + (3/16 x 100/100)

step 6 Simplify the above expression further:
= 1 + (300/16 x 1/100)
= 1 + (288 + 12/16 x 1/100)
= 1 + [(288/16 + 12/16 ) x 1/100]
= 1 + [(18 + 12/16) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 12/16 in the above expression:
= 1 + [(18 + 12/16) x 1/100]
= 1 + [(18 + 0.75) x 1/100]
= 1 + (18.75 x 1/100)
= 1 + 18.75/100
= 1 + 0.1875

step 8 Find the sum of above expression:
= 1 + 0.1875
= 1.1875
19/16 = 1.1875

Hence,
19/16 as a decimal is 1.1875
19/16 as a mixed number is 1 ³/₁₆