29/12 as a Decimal and Mixed Number

29/12 as a decimal and mixed number expansion provides the detailed information about what is 29/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

29/12 as a Decimal Expansion
29/12 = 2.4167
Hence,
29/12 as a decimal equals to 2.4167
where,
29/12 is a given fraction,
The decimal expansion of 29/12 is 2.4167

29/12 as a Mixed Number
29/12 = (24 + 5)/12
= 24/12 + 5/12
= 2 + 5/12
= 2 5/12
29/12 = 2 5/12

Hence,
29/12 as a mixed number is 2 ⁵/₁₂
where,
29/12 is a given fraction,
2 ⁵/₁₂ is the mixed number representation of 29/12.

The below work with steps provide the detailed information about how to convert fraction 29/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 29/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 29/12.

step 2 The numerator is greater than the denominator of the fraction 29/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 29/12
= 24 + 5/12
= (2 x 12) + 5/12

step 3 Make the above expression as individual fractions:
= (2 x 12)/12 + 5/12

step 4 Simplify the above expression:
= 2 x 12/12 + 5/12
= 2 + 5/12
2 + 5/12 can be written as a mixed number 2 ⁵/₁₂.


step 5 Find the decimal equivalent for the fractional part 5/12 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/12. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/12.
= 2 + (5/12 x 100/100)

step 6 Simplify the above expression further:
= 2 + (500/12 x 1/100)
= 2 + (492 + 8/12 x 1/100)
= 2 + [(492/12 + 8/12 ) x 1/100]
= 2 + [(41 + 8/12) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 8/12 in the above expression:
= 2 + [(41 + 8/12) x 1/100]
= 2 + [(41 + 0.67) x 1/100]
= 2 + (41.67 x 1/100)
= 2 + 41.67/100
= 2 + 0.4167

step 8 Find the sum of above expression:
= 2 + 0.4167
= 2.4167
29/12 = 2.4167

Hence,
29/12 as a decimal is 2.4167
29/12 as a mixed number is 2 ⁵/₁₂