304/88 as a Decimal and Mixed Number

304/88 as a decimal and mixed number expansion provides the detailed information about what is 304/88 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/88 as a Decimal
304/88 = 3.4545
Hence,
304/88 as a decimal equals to 3.4545
where,
304/88 is a given fraction,
The decimal expansion of 304/88 is 3.4545

304/88 as a Mixed Number
304/88 = (264 + 40)/88
= 264/88 + 40/88
= 3 + 40/88
= 3 40/88
304/88 = 3 40/88

Hence,
304/88 as a mixed number is 3 ⁴⁰/₈₈
where,
304/88 is a given fraction,
3 ⁴⁰/₈₈ is the mixed number representation of 304/88.

The below work with steps provide the detailed information about how to convert fraction 304/88 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/88

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/88.

step 2 The numerator is greater than the denominator of the fraction 304/88, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/88
= 264 + 40/88
= (3 x 88) + 40/88

step 3 Make the above expression as individual fractions:
= (3 x 88)/88 + 40/88

step 4 Simplify the above expression:
= 3 x 88/88 + 40/88
= 3 + 40/88
= 3 + 5 x 8/11 x 8
= 3 + 5/11
3 + 5/11 can be written as a mixed number 3 ⁵/₁₁.


step 5 Find the decimal equivalent for the fractional part 5/11 in the above expression:
= 3 + 0.4545
= 3.4545
304/88 = 3.4545

Hence,
304/88 as a decimal is 3.4545
304/88 as a mixed number is 3 ⁵/₁₁