164/128 as a Decimal and Mixed Number

164/128 as a decimal and mixed number expansion provides the detailed information about what is 164/128 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/128 as a Decimal
164/128 = 1.2813
Hence,
164/128 as a decimal equals to 1.2813
where,
164/128 is a given fraction,
The decimal expansion of 164/128 is 1.2813

164/128 as a Mixed Number
164/128 = (128 + 36)/128
= 128/128 + 36/128
= 1 + 36/128
= 1 36/128
164/128 = 1 36/128

Hence,
164/128 as a mixed number is 1 ³⁶/₁₂₈
where,
164/128 is a given fraction,
1 ³⁶/₁₂₈ is the mixed number representation of 164/128.

The below work with steps provide the detailed information about how to convert fraction 164/128 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/128

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/128.

step 2 The numerator is greater than the denominator of the fraction 164/128, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/128
= 128 + 36/128

step 3 Make the above expression as individual fractions:
= 128/128 + 36/128

step 4 Simplify the above expression:
= 1 x 128/128 + 36/128
= 1 + 36/128
= 1 + 9 x 4/32 x 4
= 1 + 9/32
1 + 9/32 can be written as a mixed number 1 ⁹/₃₂.


step 5 Find the decimal equivalent for the fractional part 9/32 in the above expression:
Multiply both numerator and denominator by 3125 to make the denominator as powers of 10:
= 1 + (9/32 x 3125/3125)
= 1 + 28125/100000

step 6 Simplify the above expression further:
= 1 + 0.28125
= 1.28125
164/128 = 1.28125

Hence,
164/128 as a decimal is 1.28125
164/128 as a mixed number is 1 ⁹/₃₂