11/3 as a Decimal and Mixed Number
11/3 as a decimal and mixed number expansion provides the detailed information about what is 11/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
11/3 as a Decimal Expansion
11/3 = 3.6667
Hence,
11/3 as a decimal equals to 3.6667
where,
11/3 is a given fraction,
The decimal expansion of 11/3 is 3.6667
11/3 as a Mixed Number
11/3 = (9 + 2)/3
= 9/3 + 2/3
= 3 + 2/3
= 3 2/3
11/3 = 3 2/3
Hence,
11/3 as a mixed number is 3 2/3
where,
11/3 is a given fraction,
3 2/3 is the mixed number representation of 11/3.
How-to: 11/3 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 11/3 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 11/3
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 11/3.
step 2 The numerator is greater than the denominator of the fraction 11/3, so write the given fraction in the expression form in terms of denominator as like the below:
= 11/3
= 9 + 2/3
= (3 x 3) + 2/3
step 3 Make the above expression as individual fractions:
= (3 x 3)/3 + 2/3
step 4 Simplify the above expression:
= 3 x 3/3 + 2/3
= 3 + 2/3
3 + 2/3 can be written as a mixed number 3 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.
= 3 + (2/3 x 10/10)
step 6 Simplify the above expression further:
= 3 + (20/3 x 1/10)
= 3 + (18 + 2/3 x 1/10)
= 3 + [(18/3 + 2/3 ) x 1/10]
= 3 + [(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:
= 3 + [(6 + 2/3) x 1/10]
= 3 + [(6 + 0.67) x 1/10]
= 3 + (6.67 x 1/10)
= 3 + 6.67/10
= 3 + 0.667
step 8 Find the sum of above expression:
= 3 + 0.667
= 3.667
11/3 = 3.667
Hence,
11/3 as a decimal is 3.667
11/3 as a mixed number is 3 2/3