76/11 as a Decimal and Mixed Number
76/11 as a decimal and mixed number expansion provides the detailed information about what is 76/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
76/11 as a Decimal Expansion
76/11 = 6.9091
Hence,
76/11 as a decimal equals to 6.9091
where,
76/11 is a given fraction,
The decimal expansion of 76/11 is 6.9091
76/11 as a Mixed Number
76/11 = (66 + 10)/11
= 66/11 + 10/11
= 6 + 10/11
= 6 10/11
76/11 = 6 10/11
Hence,
76/11 as a mixed number is 6 10/11
where,
76/11 is a given fraction,
6 10/11 is the mixed number representation of 76/11.
How-to: 76/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 76/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/11.
step 2 The numerator is greater than the denominator of the fraction 76/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/11
= 66 + 10/11
= (6 x 11) + 10/11
step 3 Make the above expression as individual fractions:
= (6 x 11)/11 + 10/11
step 4 Simplify the above expression:
= 6 x 11/11 + 10/11
= 6 + 10/11
6 + 10/11 can be written as a mixed number 6 10/11.
step 5 Find the decimal equivalent for the fractional part 10/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 10/11. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 10/11.
= 6 + (10/11 x 10/10)
step 6 Simplify the above expression further:
= 6 + (100/11 x 1/10)
= 6 + (99 + 1/11 x 1/10)
= 6 + [(99/11 + 1/11 ) x 1/10]
= 6 + [(9 + 1/11) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/11 in the above expression:
= 6 + [(9 + 1/11) x 1/10]
= 6 + [(9 + 0.09) x 1/10]
= 6 + (9.09 x 1/10)
= 6 + 9.09/10
= 6 + 0.909
step 8 Find the sum of above expression:
= 6 + 0.909
= 6.909
76/11 = 6.909
Hence,
76/11 as a decimal is 6.909
76/11 as a mixed number is 6 10/11