81/52 as a decimal and mixed number expansion provides the detailed information about what is 81/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
81/52 as a Decimal Expansion
81/52 = 1.5577
Hence,
81/52 as a decimal equals to 1.5577
where,
81/52 is a given fraction,
The decimal expansion of 81/52 is 1.5577
81/52 as a Mixed Number
81/52 = (52 + 29)/52
= 52/52 + 29/52
= 1 + 29/52
= 1 29/52
81/52 = 1 29/52
Hence,
81/52 as a mixed number is 1 29/52
where,
81/52 is a given fraction,
1 29/52 is the mixed number representation of 81/52.
The below work with steps provide the detailed information about how to convert fraction 81/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 81/52
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 81/52.
step 2 The numerator is greater than the denominator of the fraction 81/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 81/52
= 52 + 29/52
step 3 Make the above expression as individual fractions:
= 52/52 + 29/52
step 4 Simplify the above expression:
= 1 x 52/52 + 29/52
= 1 + 29/52
1 + 29/52 can be written as a mixed number 1 29/52.
step 5 Find the decimal equivalent for the fractional part 29/52 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 29/52. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 29/52.
= 1 + (29/52 x 10/10)
step 6 Simplify the above expression further:
= 1 + (290/52 x 1/10)
= 1 + (260 + 30/52 x 1/10)
= 1 + [(260/52 + 30/52 ) x 1/10]
= 1 + [(5 + 30/52) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 30/52 in the above expression:
= 1 + [(5 + 30/52) x 1/10]
= 1 + [(5 + 0.58) x 1/10]
= 1 + (5.58 x 1/10)
= 1 + 5.58/10
= 1 + 0.558
step 8 Find the sum of above expression:
= 1 + 0.558
= 1.558
81/52 = 1.558
Hence,
81/52 as a decimal is 1.558
81/52 as a mixed number is 1 29/52