255/159 as a Decimal and Mixed Number

255/159 as a decimal and mixed number expansion provides the detailed information about what is 255/159 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/159 as a Decimal
255/159 = 1.6038
Hence,
255/159 as a decimal equals to 1.6038
where,
255/159 is a given fraction,
The decimal expansion of 255/159 is 1.6038

255/159 as a Mixed Number
255/159 = (159 + 96)/159
= 159/159 + 96/159
= 1 + 96/159
= 1 96/159
255/159 = 1 96/159

Hence,
255/159 as a mixed number is 1 ⁹⁶/₁₅₉
where,
255/159 is a given fraction,
1 ⁹⁶/₁₅₉ is the mixed number representation of 255/159.

The below work with steps provide the detailed information about how to convert fraction 255/159 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/159

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/159.

step 2 The numerator is greater than the denominator of the fraction 255/159, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/159
= 159 + 96/159

step 3 Make the above expression as individual fractions:
= 159/159 + 96/159

step 4 Simplify the above expression:
= 1 x 159/159 + 96/159
= 1 + 96/159
= 1 + 32 x 3/53 x 3
= 1 + 32/53
1 + 32/53 can be written as a mixed number 1 ³²/₅₃.


step 5 Find the decimal equivalent for the fractional part 32/53 in the above expression:
= 1 + 0.6038
= 1.6038
255/159 = 1.6038

Hence,
255/159 as a decimal is 1.6038
255/159 as a mixed number is 1 ³²/₅₃