357/255 as a Decimal and Mixed Number

357/255 as a decimal and mixed number expansion provides the detailed information about what is 357/255 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/255 as a Decimal
357/255 = 1.4
Hence,
357/255 as a decimal equals to 1.4
where,
357/255 is a given fraction,
The decimal expansion of 357/255 is 1.4

357/255 as a Mixed Number
357/255 = (255 + 102)/255
= 255/255 + 102/255
= 1 + 102/255
= 1 102/255
357/255 = 1 102/255

Hence,
357/255 as a mixed number is 1 ¹⁰²/₂₅₅
where,
357/255 is a given fraction,
1 ¹⁰²/₂₅₅ is the mixed number representation of 357/255.

The below work with steps provide the detailed information about how to convert fraction 357/255 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/255

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/255.

step 2 The numerator is greater than the denominator of the fraction 357/255, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/255
= 255 + 102/255

step 3 Make the above expression as individual fractions:
= 255/255 + 102/255

step 4 Simplify the above expression:
= 1 x 255/255 + 102/255
= 1 + 102/255
= 1 + 2 x 51/5 x 51
= 1 + 2/5
1 + 2/5 can be written as a mixed number 1 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (2/5 x 2/2)
= 1 + 4/10

step 6 Simplify the above expression further:
= 1 + 0.4
= 1.4
357/255 = 1.4

Hence,
357/255 as a decimal is 1.4
357/255 as a mixed number is 1 ²/₅