185/85 as a decimal and mixed number expansion provides the detailed information about what is 185/85 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
185/85 as a Decimal
185/85 = 2.1765
Hence,
185/85 as a decimal equals to 2.1765
where,
185/85 is a given fraction,
The decimal expansion of 185/85 is 2.1765
185/85 as a Mixed Number
185/85 = (170 + 15)/85
= 170/85 + 15/85
= 2 + 15/85
= 2 15/85
185/85 = 2 15/85
Hence,
185/85 as a mixed number is 2 15/85
where,
185/85 is a given fraction,
2 15/85 is the mixed number representation of 185/85.
The below work with steps provide the detailed information about how to convert fraction 185/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 185/85
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 185/85.
step 2 The numerator is greater than the denominator of the fraction 185/85, so write the given fraction in the expression form in terms of denominator as like the below:
= 185/85
= 170 + 15/85
= (2 x 85) + 15/85
step 3 Make the above expression as individual fractions:
= (2 x 85)/85 + 15/85
step 4 Simplify the above expression:
= 2 x 85/85 + 15/85
= 2 + 15/85
= 2 + 3 x 5/17 x 5
= 2 + 3/17
2 + 3/17 can be written as a mixed number 2 3/17.
step 5 Find the decimal equivalent for the fractional part 3/17 in the above expression:
= 2 + 0.1765
= 2.1765
185/85 = 2.1765
Hence,
185/85 as a decimal is 2.1765
185/85 as a mixed number is 2 3/17