19/6 as a decimal and mixed number expansion provides the detailed information about what is 19/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.**19/6 as a Decimal Expansion**

19/6 = 3.1667

Hence,

19/6 as a decimal equals to **3.1667**

__where,__

19/6 is a given fraction,

The decimal expansion of 19/6 is 3.1667

**19/6 as a Mixed Number**

19/6 = (18 + 1)/6

= 18/6 + 1/6

= 3 + 1/6

= 3 1/6

19/6 = 3 1/6

Hence,

19/6 as a mixed number is **3 ^{1}/_{6}**

19/6 is a given fraction,

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The below work with steps provide the detailed information about how to convert fraction 19/6 as a decimal equivalent.

step 1 Address the input parameters and observe what to be found:__Input values:__

The fraction = 19/6__What to be found:__

Find the equivalent decimal expansion and mixed number for fraction 19/6.

step 2 The numerator is greater than the denominator of the fraction 19/6, so write the given fraction in the expression form in terms of denominator as like the below:

= 19/6

= 18 + 1/6

= (3 x 6) + 1/6

step 3 Make the above expression as individual fractions:

= (3 x 6)/6 + 1/6

step 4 Simplify the above expression:

= 3 x 6/6 + 1/6

= 3 + 1/6

3 + 1/6 can be written as a mixed number 3 ^{1}/_{6}.

step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:

Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/6. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/6.

= 3 + (1/6 x 10/10)

step 6 Simplify the above expression further:

= 3 + (10/6 x 1/10)

= 3 + (6 + 4/6 x 1/10)

= 3 + [(6/6 + 4/6 ) x 1/10]

= 3 + [(1 + 4/6) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/6 in the above expression:

= 3 + [(1 + 4/6) x 1/10]

= 3 + [(1 + 0.67) x 1/10]

= 3 + (1.67 x 1/10)

= 3 + 1.67/10

= 3 + 0.167

step 8 Find the sum of above expression:

= 3 + 0.167

= 3.167

19/6 = 3.167

Hence,

19/6 as a decimal is 3.167

19/6 as a mixed number is 3 ^{1}/_{6}