255/195 as a Decimal and Mixed Number

255/195 as a decimal and mixed number expansion provides the detailed information about what is 255/195 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/195 as a Decimal
255/195 = 1.3077
Hence,
255/195 as a decimal equals to 1.3077
where,
255/195 is a given fraction,
The decimal expansion of 255/195 is 1.3077

255/195 as a Mixed Number
255/195 = (195 + 60)/195
= 195/195 + 60/195
= 1 + 60/195
= 1 60/195
255/195 = 1 60/195

Hence,
255/195 as a mixed number is 1 ⁶⁰/₁₉₅
where,
255/195 is a given fraction,
1 ⁶⁰/₁₉₅ is the mixed number representation of 255/195.

The below work with steps provide the detailed information about how to convert fraction 255/195 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/195

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/195.

step 2 The numerator is greater than the denominator of the fraction 255/195, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/195
= 195 + 60/195

step 3 Make the above expression as individual fractions:
= 195/195 + 60/195

step 4 Simplify the above expression:
= 1 x 195/195 + 60/195
= 1 + 60/195
= 1 + 4 x 15/13 x 15
= 1 + 4/13
1 + 4/13 can be written as a mixed number 1 ⁴/₁₃.


step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
= 1 + 0.3077
= 1.3077
255/195 = 1.3077

Hence,
255/195 as a decimal is 1.3077
255/195 as a mixed number is 1 ⁴/₁₃