345/255 as a Decimal and Mixed Number

345/255 as a decimal and mixed number expansion provides the detailed information about what is 345/255 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/255 as a Decimal
345/255 = 1.3529
Hence,
345/255 as a decimal equals to 1.3529
where,
345/255 is a given fraction,
The decimal expansion of 345/255 is 1.3529

345/255 as a Mixed Number
345/255 = (255 + 90)/255
= 255/255 + 90/255
= 1 + 90/255
= 1 90/255
345/255 = 1 90/255

Hence,
345/255 as a mixed number is 1 ⁹⁰/₂₅₅
where,
345/255 is a given fraction,
1 ⁹⁰/₂₅₅ is the mixed number representation of 345/255.

The below work with steps provide the detailed information about how to convert fraction 345/255 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/255

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/255.

step 2 The numerator is greater than the denominator of the fraction 345/255, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/255
= 255 + 90/255

step 3 Make the above expression as individual fractions:
= 255/255 + 90/255

step 4 Simplify the above expression:
= 1 x 255/255 + 90/255
= 1 + 90/255
= 1 + 6 x 15/17 x 15
= 1 + 6/17
1 + 6/17 can be written as a mixed number 1 ⁶/₁₇.


step 5 Find the decimal equivalent for the fractional part 6/17 in the above expression:
= 1 + 0.3529
= 1.3529
345/255 = 1.3529

Hence,
345/255 as a decimal is 1.3529
345/255 as a mixed number is 1 ⁶/₁₇