73/66 as a decimal and mixed number expansion provides the detailed information about what is 73/66 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
73/66 as a Decimal Expansion
73/66 = 1.1061
Hence,
73/66 as a decimal equals to 1.1061
where,
73/66 is a given fraction,
The decimal expansion of 73/66 is 1.1061
73/66 as a Mixed Number
73/66 = (66 + 7)/66
= 66/66 + 7/66
= 1 + 7/66
= 1 7/66
73/66 = 1 7/66
Hence,
73/66 as a mixed number is 1 7/66
where,
73/66 is a given fraction,
1 7/66 is the mixed number representation of 73/66.
The below work with steps provide the detailed information about how to convert fraction 73/66 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 73/66
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 73/66.
step 2 The numerator is greater than the denominator of the fraction 73/66, so write the given fraction in the expression form in terms of denominator as like the below:
= 73/66
= 66 + 7/66
step 3 Make the above expression as individual fractions:
= 66/66 + 7/66
step 4 Simplify the above expression:
= 1 x 66/66 + 7/66
= 1 + 7/66
1 + 7/66 can be written as a mixed number 1 7/66.
step 5 Find the decimal equivalent for the fractional part 7/66 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/66. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/66.
= 1 + (7/66 x 100/100)
step 6 Simplify the above expression further:
= 1 + (700/66 x 1/100)
= 1 + (660 + 40/66 x 1/100)
= 1 + [(660/66 + 40/66 ) x 1/100]
= 1 + [(10 + 40/66) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 40/66 in the above expression:
= 1 + [(10 + 40/66) x 1/100]
= 1 + [(10 + 0.61) x 1/100]
= 1 + (10.61 x 1/100)
= 1 + 10.61/100
= 1 + 0.1061
step 8 Find the sum of above expression:
= 1 + 0.1061
= 1.1061
73/66 = 1.1061
Hence,
73/66 as a decimal is 1.1061
73/66 as a mixed number is 1 7/66