270/85 as a Decimal and Mixed Number

270/85 as a decimal and mixed number expansion provides the detailed information about what is 270/85 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/85 as a Decimal
270/85 = 3.1765
Hence,
270/85 as a decimal equals to 3.1765
where,
270/85 is a given fraction,
The decimal expansion of 270/85 is 3.1765

270/85 as a Mixed Number
270/85 = (255 + 15)/85
= 255/85 + 15/85
= 3 + 15/85
= 3 15/85
270/85 = 3 15/85

Hence,
270/85 as a mixed number is 3 ¹⁵/₈₅
where,
270/85 is a given fraction,
3 ¹⁵/₈₅ is the mixed number representation of 270/85.

The below work with steps provide the detailed information about how to convert fraction 270/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/85

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/85.

step 2 The numerator is greater than the denominator of the fraction 270/85, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/85
= 255 + 15/85
= (3 x 85) + 15/85

step 3 Make the above expression as individual fractions:
= (3 x 85)/85 + 15/85

step 4 Simplify the above expression:
= 3 x 85/85 + 15/85
= 3 + 15/85
= 3 + 3 x 5/17 x 5
= 3 + 3/17
3 + 3/17 can be written as a mixed number 3 ³/₁₇.


step 5 Find the decimal equivalent for the fractional part 3/17 in the above expression:
= 3 + 0.1765
= 3.1765
270/85 = 3.1765

Hence,
270/85 as a decimal is 3.1765
270/85 as a mixed number is 3 ³/₁₇