37/12 as a decimal and mixed number expansion provides the detailed information about what is 37/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.**37/12 as a Decimal Expansion**

37/12 = 3.0833

Hence,

37/12 as a decimal equals to **3.0833**

__where,__

37/12 is a given fraction,

The decimal expansion of 37/12 is 3.0833

**37/12 as a Mixed Number**

37/12 = (36 + 1)/12

= 36/12 + 1/12

= 3 + 1/12

= 3 1/12

37/12 = 3 1/12

Hence,

37/12 as a mixed number is **3 ^{1}/_{12}**

37/12 is a given fraction,

3

The below work with steps provide the detailed information about how to convert fraction 37/12 as a decimal equivalent.

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

The fraction = 37/12__What to be found:__

Find the equivalent decimal expansion and mixed number for fraction 37/12.

step 2 The numerator is greater than the denominator of the fraction 37/12, so write the given fraction in the expression form in terms of denominator as like the below:

= 37/12

= 36 + 1/12

= (3 x 12) + 1/12

step 3 Make the above expression as individual fractions:

= (3 x 12)/12 + 1/12

step 4 Simplify the above expression:

= 3 x 12/12 + 1/12

= 3 + 1/12

3 + 1/12 can be written as a mixed number 3 ^{1}/_{12}.

step 5 Find the decimal equivalent for the fractional part 1/12 in the above expression:

Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/12. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/12.

= 3 + (1/12 x 100/100)

step 6 Simplify the above expression further:

= 3 + (100/12 x 1/100)

= 3 + (96 + 4/12 x 1/100)

= 3 + [(96/12 + 4/12 ) x 1/100]

= 3 + [(8 + 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:

= 3 + [(8 + 4/12) x 1/100]

= 3 + [(8 + 0.33) x 1/100]

= 3 + (8.33 x 1/100)

= 3 + 8.33/100

= 3 + 0.0833

step 8 Find the sum of above expression:

= 3 + 0.0833

= 3.0833

37/12 = 3.0833

Hence,

37/12 as a decimal is 3.0833

37/12 as a mixed number is 3 ^{1}/_{12}