11/6 as a Decimal and Mixed Number
11/6 as a decimal and mixed number expansion provides the detailed information about what is 11/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
11/6 as a Decimal Expansion
11/6 = 1.8333
Hence,
11/6 as a decimal equals to 1.8333
where,
11/6 is a given fraction,
The decimal expansion of 11/6 is 1.8333
11/6 as a Mixed Number
11/6 = (6 + 5)/6
= 6/6 + 5/6
= 1 + 5/6
= 1 5/6
11/6 = 1 5/6
Hence,
11/6 as a mixed number is 1 5/6
where,
11/6 is a given fraction,
1 5/6 is the mixed number representation of 11/6.
How-to: 11/6 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 11/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 11/6
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 11/6.
step 2 The numerator is greater than the denominator of the fraction 11/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 11/6
= 6 + 5/6
step 3 Make the above expression as individual fractions:
= 6/6 + 5/6
step 4 Simplify the above expression:
= 1 x 6/6 + 5/6
= 1 + 5/6
1 + 5/6 can be written as a mixed number 1 5/6.
step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/6. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 5/6.
= 1 + (5/6 x 10/10)
step 6 Simplify the above expression further:
= 1 + (50/6 x 1/10)
= 1 + (48 + 2/6 x 1/10)
= 1 + [(48/6 + 2/6 ) x 1/10]
= 1 + [(8 + 2/6) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/6 in the above expression:
= 1 + [(8 + 2/6) x 1/10]
= 1 + [(8 + 0.33) x 1/10]
= 1 + (8.33 x 1/10)
= 1 + 8.33/10
= 1 + 0.833
step 8 Find the sum of above expression:
= 1 + 0.833
= 1.833
11/6 = 1.833
Hence,
11/6 as a decimal is 1.833
11/6 as a mixed number is 1 5/6
