304/230 as a Decimal and Mixed Number

304/230 as a decimal and mixed number expansion provides the detailed information about what is 304/230 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/230 as a Decimal
304/230 = 1.3217
Hence,
304/230 as a decimal equals to 1.3217
where,
304/230 is a given fraction,
The decimal expansion of 304/230 is 1.3217

304/230 as a Mixed Number
304/230 = (230 + 74)/230
= 230/230 + 74/230
= 1 + 74/230
= 1 74/230
304/230 = 1 74/230

Hence,
304/230 as a mixed number is 1 ⁷⁴/₂₃₀
where,
304/230 is a given fraction,
1 ⁷⁴/₂₃₀ is the mixed number representation of 304/230.

The below work with steps provide the detailed information about how to convert fraction 304/230 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/230

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/230.

step 2 The numerator is greater than the denominator of the fraction 304/230, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/230
= 230 + 74/230

step 3 Make the above expression as individual fractions:
= 230/230 + 74/230

step 4 Simplify the above expression:
= 1 x 230/230 + 74/230
= 1 + 74/230
= 1 + 37 x 2/115 x 2
= 1 + 37/115
1 + 37/115 can be written as a mixed number 1 ³⁷/₁₁₅.


step 5 Find the decimal equivalent for the fractional part 37/115 in the above expression:
= 1 + 0.3217
= 1.3217
304/230 = 1.3217

Hence,
304/230 as a decimal is 1.3217
304/230 as a mixed number is 1 ³⁷/₁₁₅