# 7/6 as a Decimal and Mixed Number 7/6 as a decimal and mixed number expansion provides the detailed information about what is 7/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

7/6 as a Decimal Expansion
7/6 = 1.1667
Hence,
7/6 as a decimal equals to 1.1667
where,
7/6 is a given fraction,
The decimal expansion of 7/6 is 1.1667

7/6 as a Mixed Number
7/6 = (6 + 1)/6
= 6/6 + 1/6
= 1 + 1/6
= 1 1/6
7/6 = 1 1/6

Hence,
7/6 as a mixed number is 1 1/6
where,
7/6 is a given fraction,
1 1/6 is the mixed number representation of 7/6.

For values other than 7/6, use this below tool:

## How-to: 7/6 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 7/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/6

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 7/6.

step 2 The numerator is greater than the denominator of the fraction 7/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 7/6
= 6 + 1/6

step 3 Make the above expression as individual fractions:
= 6/6 + 1/6

step 4 Simplify the above expression:
= 1 + 1/6
1 + 1/6 can be written as a mixed number 1 1/6

step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/6. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/6.
= 1 + (1/6 x 10/10)

step 6 Simplify the above expression further:
= 1 + (10/6 x 1/10)
= 1 + (6 + 4/6 x 1/10)
= 1 + [(6/6 + 4/6 ) x 1/10]
= 1 + [(1 + 4/6) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/6 in the above expression:
= 1 + [(1 + 4/6) x 1/10]
= 1 + [(1 + 0.67) x 1/10]
= 1 + (1.67 x 1/10)
= 1 + 1.67/10
= 1 + 0.167

step 8 Find the sum of above expression:
= 1 + 0.167
= 1.167
7/6 = 1.167

Hence,
7/6 as a decimal is 1.167
7/6 as a mixed number is 1 1/6 