67/66 as a decimal and mixed number expansion provides the detailed information about what is 67/66 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
67/66 as a Decimal Expansion
67/66 = 1.0152
Hence,
67/66 as a decimal equals to 1.0152
where,
67/66 is a given fraction,
The decimal expansion of 67/66 is 1.0152
67/66 as a Mixed Number
67/66 = (66 + 1)/66
= 66/66 + 1/66
= 1 + 1/66
= 1 1/66
67/66 = 1 1/66
Hence,
67/66 as a mixed number is 1 1/66
where,
67/66 is a given fraction,
1 1/66 is the mixed number representation of 67/66.
The below work with steps provide the detailed information about how to convert fraction 67/66 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 67/66
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 67/66.
step 2 The numerator is greater than the denominator of the fraction 67/66, so write the given fraction in the expression form in terms of denominator as like the below:
= 67/66
= 66 + 1/66
step 3 Make the above expression as individual fractions:
= 66/66 + 1/66
step 4 Simplify the above expression:
= 1 + 1/66
1 + 1/66 can be written as a mixed number 1 1/66
step 5 Find the decimal equivalent for the fractional part 1/66 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/66. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/66.
= 1 + (1/66 x 100/100)
step 6 Simplify the above expression further:
= 1 + (100/66 x 1/100)
= 1 + (66 + 34/66 x 1/100)
= 1 + [(66/66 + 34/66 ) x 1/100]
= 1 + [(1 + 34/66) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 34/66 in the above expression:
= 1 + [(1 + 34/66) x 1/100]
= 1 + [(1 + 0.52) x 1/100]
= 1 + (1.52 x 1/100)
= 1 + 1.52/100
= 1 + 0.0152
step 8 Find the sum of above expression:
= 1 + 0.0152
= 1.0152
67/66 = 1.0152
Hence,
67/66 as a decimal is 1.0152
67/66 as a mixed number is 1 1/66