300/255 as a Decimal and Mixed Number

300/255 as a decimal and mixed number expansion provides the detailed information about what is 300/255 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/255 as a Decimal
300/255 = 1.1765
Hence,
300/255 as a decimal equals to 1.1765
where,
300/255 is a given fraction,
The decimal expansion of 300/255 is 1.1765

300/255 as a Mixed Number
300/255 = (255 + 45)/255
= 255/255 + 45/255
= 1 + 45/255
= 1 45/255
300/255 = 1 45/255

Hence,
300/255 as a mixed number is 1 ⁴⁵/₂₅₅
where,
300/255 is a given fraction,
1 ⁴⁵/₂₅₅ is the mixed number representation of 300/255.

The below work with steps provide the detailed information about how to convert fraction 300/255 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/255

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/255.

step 2 The numerator is greater than the denominator of the fraction 300/255, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/255
= 255 + 45/255

step 3 Make the above expression as individual fractions:
= 255/255 + 45/255

step 4 Simplify the above expression:
= 1 x 255/255 + 45/255
= 1 + 45/255
= 1 + 3 x 15/17 x 15
= 1 + 3/17
1 + 3/17 can be written as a mixed number 1 ³/₁₇.


step 5 Find the decimal equivalent for the fractional part 3/17 in the above expression:
= 1 + 0.1765
= 1.1765
300/255 = 1.1765

Hence,
300/255 as a decimal is 1.1765
300/255 as a mixed number is 1 ³/₁₇