49/12 as a Decimal and Mixed Number

49/12 as a decimal and mixed number expansion provides the detailed information about what is 49/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

49/12 as a Decimal Expansion
49/12 = 4.0833
Hence,
49/12 as a decimal equals to 4.0833
where,
49/12 is a given fraction,
The decimal expansion of 49/12 is 4.0833

49/12 as a Mixed Number
49/12 = (48 + 1)/12
= 48/12 + 1/12
= 4 + 1/12
= 4 1/12
49/12 = 4 1/12

Hence,
49/12 as a mixed number is 4 ¹/₁₂
where,
49/12 is a given fraction,
4 ¹/₁₂ is the mixed number representation of 49/12.

The below work with steps provide the detailed information about how to convert fraction 49/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 49/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 49/12.

step 2 The numerator is greater than the denominator of the fraction 49/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 49/12
= 48 + 1/12
= (4 x 12) + 1/12

step 3 Make the above expression as individual fractions:
= (4 x 12)/12 + 1/12

step 4 Simplify the above expression:
= 4 x 12/12 + 1/12
= 4 + 1/12
4 + 1/12 can be written as a mixed number 4 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.
= 4 + (1/12 x 100/100)

step 6 Simplify the above expression further:
= 4 + (100/12 x 1/100)
= 4 + (96 + 4/12 x 1/100)
= 4 + [(96/12 + 4/12 ) x 1/100]
= 4 + [(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:
= 4 + [(8 + 4/12) x 1/100]
= 4 + [(8 + 0.33) x 1/100]
= 4 + (8.33 x 1/100)
= 4 + 8.33/100
= 4 + 0.0833

step 8 Find the sum of above expression:
= 4 + 0.0833
= 4.0833
49/12 = 4.0833

Hence,
49/12 as a decimal is 4.0833
49/12 as a mixed number is 4 ¹/₁₂