159/128 as a decimal and mixed number expansion provides the detailed information about what is 159/128 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
159/128 as a Decimal
159/128 = 1.2422
Hence,
159/128 as a decimal equals to 1.2422
where,
159/128 is a given fraction,
The decimal expansion of 159/128 is 1.2422
159/128 as a Mixed Number
159/128 = (128 + 31)/128
= 128/128 + 31/128
= 1 + 31/128
= 1 31/128
159/128 = 1 31/128
Hence,
159/128 as a mixed number is 1 31/128
where,
159/128 is a given fraction,
1 31/128 is the mixed number representation of 159/128.
The below work with steps provide the detailed information about how to convert fraction 159/128 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/128
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/128.
step 2 The numerator is greater than the denominator of the fraction 159/128, so write the given fraction in the expression form in terms of denominator as like the below:
= 159/128
= 128 + 31/128
step 3 Make the above expression as individual fractions:
= 128/128 + 31/128
step 4 Simplify the above expression:
= 1 x 128/128 + 31/128
= 1 + 31/128
1 + 31/128 can be written as a mixed number 1 31/128.
step 5 Find the decimal equivalent for the fractional part 31/128 in the above expression:
= 1 + 0.2422
= 1.2422
159/128 = 1.2422
Hence,
159/128 as a decimal is 1.2422
159/128 as a mixed number is 1 31/128