500/12 as a decimal and mixed number expansion provides the detailed information about what is 500/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
500/12 as a Decimal Expansion
500/12 = 41.6667
Hence,
500/12 as a decimal equals to 41.6667
where,
500/12 is a given fraction,
The decimal expansion of 500/12 is 41.6667
500/12 as a Mixed Number
500/12 = (492 + 8)/12
= 492/12 + 8/12
= 41 + 8/12
= 41 8/12
500/12 = 41 8/12
Hence,
500/12 as a mixed number is 41 8/12
where,
500/12 is a given fraction,
41 8/12 is the mixed number representation of 500/12.
The below work with steps provide the detailed information about how to convert fraction 500/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 500/12
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 500/12.
step 2 The numerator is greater than the denominator of the fraction 500/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 500/12
= 492 + 8/12
= (41 x 12) + 8/12
step 3 Make the above expression as individual fractions:
= (41 x 12)/12 + 8/12
step 4 Simplify the above expression:
= 41 x 12/12 + 8/12
= 41 + 8/12
= 41 + 2 x 4/3 x 4
= 41 + 2/3
41 + 2/3 can be written as a mixed number 41 2/3.
step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/3. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 2/3.
= 41 + (2/3 x 10/10)
step 6 Simplify the above expression further:
= 41 + (20/3 x 1/10)
= 41 + (18 + 2/3 x 1/10)
= 41 + [(18/3 + 2/3 ) x 1/10]
= 41 + [(6 + 2/3) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/3 in the above expression:
= 41 + [(6 + 2/3) x 1/10]
= 41 + [(6 + 0.67) x 1/10]
= 41 + (6.67 x 1/10)
= 41 + 6.67/10
= 41 + 0.667
step 8 Find the sum of above expression:
= 41 + 0.667
= 41.667
500/12 = 41.667
Hence,
500/12 as a decimal is 41.667
500/12 as a mixed number is 41 2/3