255/14 as a Decimal and Mixed Number

255/14 as a decimal and mixed number expansion provides the detailed information about what is 255/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/14 as a Decimal
255/14 = 18.2143
Hence,
255/14 as a decimal equals to 18.2143
where,
255/14 is a given fraction,
The decimal expansion of 255/14 is 18.2143

255/14 as a Mixed Number
255/14 = (252 + 3)/14
= 252/14 + 3/14
= 18 + 3/14
= 18 3/14
255/14 = 18 3/14

Hence,
255/14 as a mixed number is 18 ³/₁₄
where,
255/14 is a given fraction,
18 ³/₁₄ is the mixed number representation of 255/14.

The below work with steps provide the detailed information about how to convert fraction 255/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/14

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/14.

step 2 The numerator is greater than the denominator of the fraction 255/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/14
= 252 + 3/14
= (18 x 14) + 3/14

step 3 Make the above expression as individual fractions:
= (18 x 14)/14 + 3/14

step 4 Simplify the above expression:
= 18 x 14/14 + 3/14
= 18 + 3/14
18 + 3/14 can be written as a mixed number 18 ³/₁₄.


step 5 Find the decimal equivalent for the fractional part 3/14 in the above expression:
= 18 + 0.2143
= 18.2143
255/14 = 18.2143

Hence,
255/14 as a decimal is 18.2143
255/14 as a mixed number is 18 ³/₁₄