13/12 as a Decimal and Mixed Number

13/12 as a decimal and mixed number expansion provides the detailed information about what is 13/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

13/12 as a Decimal Expansion
13/12 = 1.0833
Hence,
13/12 as a decimal equals to 1.0833
where,
13/12 is a given fraction,
The decimal expansion of 13/12 is 1.0833

13/12 as a Mixed Number
13/12 = (12 + 1)/12
= 12/12 + 1/12
= 1 + 1/12
= 1 1/12
13/12 = 1 1/12

Hence,
13/12 as a mixed number is 1 ¹/₁₂
where,
13/12 is a given fraction,
1 ¹/₁₂ is the mixed number representation of 13/12.

The below work with steps provide the detailed information about how to convert fraction 13/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 13/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 13/12.

step 2 The numerator is greater than the denominator of the fraction 13/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 13/12
= 12 + 1/12

step 3 Make the above expression as individual fractions:
= 12/12 + 1/12

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

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

step 8 Find the sum of above expression:
= 1 + 0.0833
= 1.0833
13/12 = 1.0833

Hence,
13/12 as a decimal is 1.0833
13/12 as a mixed number is 1 ¹/₁₂