17/12 as a decimal and mixed number expansion provides the detailed information about what is 17/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
17/12 as a Decimal Expansion
17/12 = 1.4167
Hence,
17/12 as a decimal equals to 1.4167
where,
17/12 is a given fraction,
The decimal expansion of 17/12 is 1.4167
17/12 as a Mixed Number
17/12 = (12 + 5)/12
= 12/12 + 5/12
= 1 + 5/12
= 1 5/12
17/12 = 1 5/12
Hence,
17/12 as a mixed number is 1 5/12
where,
17/12 is a given fraction,
1 5/12 is the mixed number representation of 17/12.
The below work with steps provide the detailed information about how to convert fraction 17/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 17/12
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 17/12.
step 2 The numerator is greater than the denominator of the fraction 17/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 17/12
= 12 + 5/12
step 3 Make the above expression as individual fractions:
= 12/12 + 5/12
step 4 Simplify the above expression:
= 1 x 12/12 + 5/12
= 1 + 5/12
1 + 5/12 can be written as a mixed number 1 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.
= 1 + (5/12 x 100/100)
step 6 Simplify the above expression further:
= 1 + (500/12 x 1/100)
= 1 + (492 + 8/12 x 1/100)
= 1 + [(492/12 + 8/12 ) x 1/100]
= 1 + [(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:
= 1 + [(41 + 8/12) x 1/100]
= 1 + [(41 + 0.67) x 1/100]
= 1 + (41.67 x 1/100)
= 1 + 41.67/100
= 1 + 0.4167
step 8 Find the sum of above expression:
= 1 + 0.4167
= 1.4167
17/12 = 1.4167
Hence,
17/12 as a decimal is 1.4167
17/12 as a mixed number is 1 5/12