304/256 as a Decimal and Mixed Number

304/256 as a decimal and mixed number expansion provides the detailed information about what is 304/256 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/256 as a Decimal
304/256 = 1.1875
Hence,
304/256 as a decimal equals to 1.1875
where,
304/256 is a given fraction,
The decimal expansion of 304/256 is 1.1875

304/256 as a Mixed Number
304/256 = (256 + 48)/256
= 256/256 + 48/256
= 1 + 48/256
= 1 48/256
304/256 = 1 48/256

Hence,
304/256 as a mixed number is 1 ⁴⁸/₂₅₆
where,
304/256 is a given fraction,
1 ⁴⁸/₂₅₆ is the mixed number representation of 304/256.

The below work with steps provide the detailed information about how to convert fraction 304/256 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/256

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/256.

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

step 3 Make the above expression as individual fractions:
= 256/256 + 48/256

step 4 Simplify the above expression:
= 1 x 256/256 + 48/256
= 1 + 48/256
= 1 + 3 x 16/16 x 16
= 1 + 3/16
1 + 3/16 can be written as a mixed number 1 ³/₁₆.


step 5 Find the decimal equivalent for the fractional part 3/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (3/16 x 625/625)
= 1 + 1875/10000

step 6 Simplify the above expression further:
= 1 + 0.1875
= 1.1875
304/256 = 1.1875

Hence,
304/256 as a decimal is 1.1875
304/256 as a mixed number is 1 ³/₁₆