255/34 as a Decimal and Mixed Number

255/34 as a decimal and mixed number expansion provides the detailed information about what is 255/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/34 as a Decimal
255/34 = 7.5
Hence,
255/34 as a decimal equals to 7.5
where,
255/34 is a given fraction,
The decimal expansion of 255/34 is 7.5

255/34 as a Mixed Number
255/34 = (238 + 17)/34
= 238/34 + 17/34
= 7 + 17/34
= 7 17/34
255/34 = 7 17/34

Hence,
255/34 as a mixed number is 7 ¹⁷/₃₄
where,
255/34 is a given fraction,
7 ¹⁷/₃₄ is the mixed number representation of 255/34.

The below work with steps provide the detailed information about how to convert fraction 255/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/34.

step 2 The numerator is greater than the denominator of the fraction 255/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/34
= 238 + 17/34
= (7 x 34) + 17/34

step 3 Make the above expression as individual fractions:
= (7 x 34)/34 + 17/34

step 4 Simplify the above expression:
= 7 x 34/34 + 17/34
= 7 + 17/34
= 7 + 1 x 17/2 x 17
= 7 + 1/2
7 + 1/2 can be written as a mixed number 7 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 7 + (1/2 x 5/5)
= 7 + 5/10

step 6 Simplify the above expression further:
= 7 + 0.5
= 7.5
255/34 = 7.5

Hence,
255/34 as a decimal is 7.5
255/34 as a mixed number is 7 ¹/₂