304/296 as a Decimal and Mixed Number

304/296 as a decimal and mixed number expansion provides the detailed information about what is 304/296 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/296 as a Decimal
304/296 = 1.027
Hence,
304/296 as a decimal equals to 1.027
where,
304/296 is a given fraction,
The decimal expansion of 304/296 is 1.027

304/296 as a Mixed Number
304/296 = (296 + 8)/296
= 296/296 + 8/296
= 1 + 8/296
= 1 8/296
304/296 = 1 8/296

Hence,
304/296 as a mixed number is 1 ⁸/₂₉₆
where,
304/296 is a given fraction,
1 ⁸/₂₉₆ is the mixed number representation of 304/296.

The below work with steps provide the detailed information about how to convert fraction 304/296 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/296

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/296.

step 2 The numerator is greater than the denominator of the fraction 304/296, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/296
= 296 + 8/296

step 3 Make the above expression as individual fractions:
= 296/296 + 8/296

step 4 Simplify the above expression:
= 1 x 296/296 + 8/296
= 1 + 8/296
= 1 + 1 x 8/37 x 8
= 1 + 1/37
1 + 1/37 can be written as a mixed number 1 ¹/₃₇.


step 5 Find the decimal equivalent for the fractional part 1/37 in the above expression:
= 1 + 0.027
= 1.027
304/296 = 1.027

Hence,
304/296 as a decimal is 1.027
304/296 as a mixed number is 1 ¹/₃₇