255/136 as a Decimal and Mixed Number

255/136 as a decimal and mixed number expansion provides the detailed information about what is 255/136 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/136 as a Decimal
255/136 = 1.875
Hence,
255/136 as a decimal equals to 1.875
where,
255/136 is a given fraction,
The decimal expansion of 255/136 is 1.875

255/136 as a Mixed Number
255/136 = (136 + 119)/136
= 136/136 + 119/136
= 1 + 119/136
= 1 119/136
255/136 = 1 119/136

Hence,
255/136 as a mixed number is 1 ¹¹⁹/₁₃₆
where,
255/136 is a given fraction,
1 ¹¹⁹/₁₃₆ is the mixed number representation of 255/136.

The below work with steps provide the detailed information about how to convert fraction 255/136 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/136

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/136.

step 2 The numerator is greater than the denominator of the fraction 255/136, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/136
= 136 + 119/136

step 3 Make the above expression as individual fractions:
= 136/136 + 119/136

step 4 Simplify the above expression:
= 1 x 136/136 + 119/136
= 1 + 119/136
= 1 + 7 x 17/8 x 17
= 1 + 7/8
1 + 7/8 can be written as a mixed number 1 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (7/8 x 125/125)
= 1 + 875/1000

step 6 Simplify the above expression further:
= 1 + 0.875
= 1.875
255/136 = 1.875

Hence,
255/136 as a decimal is 1.875
255/136 as a mixed number is 1 ⁷/₈