19/12 as a Decimal and Mixed Number

19/12 as a decimal and mixed number expansion provides the detailed information about what is 19/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

19/12 as a Decimal Expansion
19/12 = 1.5833
Hence,
19/12 as a decimal equals to 1.5833
where,
19/12 is a given fraction,
The decimal expansion of 19/12 is 1.5833

19/12 as a Mixed Number
19/12 = (12 + 7)/12
= 12/12 + 7/12
= 1 + 7/12
= 1 7/12
19/12 = 1 7/12

Hence,
19/12 as a mixed number is 1 ⁷/₁₂
where,
19/12 is a given fraction,
1 ⁷/₁₂ is the mixed number representation of 19/12.

The below work with steps provide the detailed information about how to convert fraction 19/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 19/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 19/12.

step 2 The numerator is greater than the denominator of the fraction 19/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 19/12
= 12 + 7/12

step 3 Make the above expression as individual fractions:
= 12/12 + 7/12

step 4 Simplify the above expression:
= 1 x 12/12 + 7/12
= 1 + 7/12
1 + 7/12 can be written as a mixed number 1 ⁷/₁₂.


step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/12. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/12.
= 1 + (7/12 x 100/100)

step 6 Simplify the above expression further:
= 1 + (700/12 x 1/100)
= 1 + (696 + 4/12 x 1/100)
= 1 + [(696/12 + 4/12 ) x 1/100]
= 1 + [(58 + 4/12) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/12 in the above expression:
= 1 + [(58 + 4/12) x 1/100]
= 1 + [(58 + 0.33) x 1/100]
= 1 + (58.33 x 1/100)
= 1 + 58.33/100
= 1 + 0.5833

step 8 Find the sum of above expression:
= 1 + 0.5833
= 1.5833
19/12 = 1.5833

Hence,
19/12 as a decimal is 1.5833
19/12 as a mixed number is 1 ⁷/₁₂