328/128 as a Decimal and Mixed Number

328/128 as a decimal and mixed number expansion provides the detailed information about what is 328/128 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

328/128 as a Decimal
328/128 = 2.5625
Hence,
328/128 as a decimal equals to 2.5625
where,
328/128 is a given fraction,
The decimal expansion of 328/128 is 2.5625

328/128 as a Mixed Number
328/128 = (256 + 72)/128
= 256/128 + 72/128
= 2 + 72/128
= 2 72/128
328/128 = 2 72/128

Hence,
328/128 as a mixed number is 2 ⁷²/₁₂₈
where,
328/128 is a given fraction,
2 ⁷²/₁₂₈ is the mixed number representation of 328/128.

The below work with steps provide the detailed information about how to convert fraction 328/128 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 328/128

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 328/128.

step 2 The numerator is greater than the denominator of the fraction 328/128, so write the given fraction in the expression form in terms of denominator as like the below:
= 328/128
= 256 + 72/128
= (2 x 128) + 72/128

step 3 Make the above expression as individual fractions:
= (2 x 128)/128 + 72/128

step 4 Simplify the above expression:
= 2 x 128/128 + 72/128
= 2 + 72/128
= 2 + 9 x 8/16 x 8
= 2 + 9/16
2 + 9/16 can be written as a mixed number 2 ⁹/₁₆.


step 5 Find the decimal equivalent for the fractional part 9/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 2 + (9/16 x 625/625)
= 2 + 5625/10000

step 6 Simplify the above expression further:
= 2 + 0.5625
= 2.5625
328/128 = 2.5625

Hence,
328/128 as a decimal is 2.5625
328/128 as a mixed number is 2 ⁹/₁₆