89/12 in Decimal and Mixed Number Form
89/12 in decimal and mixed number form provides the detailed information about what is 89/12 in decimal and mixed number form, and the step-by-step solution using the most easiest method helps to easily understand how it is being calculated.
89/12 as a Decimal Expansion
89/12 = 7.4167
Hence,
89/12 as a decimal equals to 7.4167
where,
89/12 is a given fraction,
The decimal expansion of 89/12 is 7.4167
89/12 as a Mixed Number
89/12 = (84 + 5)/12
= 84/12 + 5/12
= 7 + 5/12
= 7 5/12
89/12 = 7 5/12
Hence,
89/12 as a mixed number is 7 5/12
where,
89/12 is a given fraction,
7 5/12 is the mixed number representation of 89/12.
How-to: 89/12 as a Decimal, using Most Simple Method
The below step-by-step solution using the simplest method provides the detailed information about how to convert fraction 89/12 to its decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 89/12
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 89/12.
step 2 The numerator is greater than the denominator of the fraction 89/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 89/12
= 84 + 5/12
= (7 x 12) + 5/12
step 3 Make the above expression as individual fractions:
= (7 x 12)/12 + 5/12
step 4 Simplify the above expression:
= 7 x 12/12 + 5/12
= 7 + 5/12
7 + 5/12 can be written as a mixed number 7 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.
= 7 + (5/12 x 100/100)
step 6 Simplify the above expression further:
= 7 + (500/12 x 1/100)
= 7 + (492 + 8/12 x 1/100)
= 7 + [(492/12 + 8/12 ) x 1/100]
= 7 + [(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:
= 7 + [(41 + 8/12) x 1/100]
= 7 + [(41 + 0.67) x 1/100]
= 7 + (41.67 x 1/100)
= 7 + 41.67/100
= 7 + 0.4167
step 8 Find the sum of above expression:
= 7 + 0.4167
= 7.4167
89/12 = 7.4167
Hence,
89/12 as a decimal is 7.4167
89/12 as a mixed number is 7 5/12