304/128 as a Decimal and Mixed Number

304/128 as a decimal and mixed number expansion provides the detailed information about what is 304/128 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/128 as a Decimal
304/128 = 2.375
Hence,
304/128 as a decimal equals to 2.375
where,
304/128 is a given fraction,
The decimal expansion of 304/128 is 2.375

304/128 as a Mixed Number
304/128 = (256 + 48)/128
= 256/128 + 48/128
= 2 + 48/128
= 2 48/128
304/128 = 2 48/128

Hence,
304/128 as a mixed number is 2 ⁴⁸/₁₂₈
where,
304/128 is a given fraction,
2 ⁴⁸/₁₂₈ is the mixed number representation of 304/128.

The below work with steps provide the detailed information about how to convert fraction 304/128 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/128

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/128.

step 2 The numerator is greater than the denominator of the fraction 304/128, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/128
= 256 + 48/128
= (2 x 128) + 48/128

step 3 Make the above expression as individual fractions:
= (2 x 128)/128 + 48/128

step 4 Simplify the above expression:
= 2 x 128/128 + 48/128
= 2 + 48/128
= 2 + 3 x 16/8 x 16
= 2 + 3/8
2 + 3/8 can be written as a mixed number 2 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (3/8 x 125/125)
= 2 + 375/1000

step 6 Simplify the above expression further:
= 2 + 0.375
= 2.375
304/128 = 2.375

Hence,
304/128 as a decimal is 2.375
304/128 as a mixed number is 2 ³/₈