85/52 as a decimal and mixed number expansion provides the detailed information about what is 85/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
85/52 as a Decimal Expansion
85/52 = 1.6346
Hence,
85/52 as a decimal equals to 1.6346
where,
85/52 is a given fraction,
The decimal expansion of 85/52 is 1.6346
85/52 as a Mixed Number
85/52 = (52 + 33)/52
= 52/52 + 33/52
= 1 + 33/52
= 1 33/52
85/52 = 1 33/52
Hence,
85/52 as a mixed number is 1 33/52
where,
85/52 is a given fraction,
1 33/52 is the mixed number representation of 85/52.
The below work with steps provide the detailed information about how to convert fraction 85/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 85/52
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 85/52.
step 2 The numerator is greater than the denominator of the fraction 85/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 85/52
= 52 + 33/52
step 3 Make the above expression as individual fractions:
= 52/52 + 33/52
step 4 Simplify the above expression:
= 1 x 52/52 + 33/52
= 1 + 33/52
1 + 33/52 can be written as a mixed number 1 33/52.
step 5 Find the decimal equivalent for the fractional part 33/52 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 33/52. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 33/52.
= 1 + (33/52 x 10/10)
step 6 Simplify the above expression further:
= 1 + (330/52 x 1/10)
= 1 + (312 + 18/52 x 1/10)
= 1 + [(312/52 + 18/52 ) x 1/10]
= 1 + [(6 + 18/52) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 18/52 in the above expression:
= 1 + [(6 + 18/52) x 1/10]
= 1 + [(6 + 0.35) x 1/10]
= 1 + (6.35 x 1/10)
= 1 + 6.35/10
= 1 + 0.635
step 8 Find the sum of above expression:
= 1 + 0.635
= 1.635
85/52 = 1.635
Hence,
85/52 as a decimal is 1.635
85/52 as a mixed number is 1 33/52