304/274 as a Decimal and Mixed Number

304/274 as a decimal and mixed number expansion provides the detailed information about what is 304/274 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/274 as a Decimal
304/274 = 1.1095
Hence,
304/274 as a decimal equals to 1.1095
where,
304/274 is a given fraction,
The decimal expansion of 304/274 is 1.1095

304/274 as a Mixed Number
304/274 = (274 + 30)/274
= 274/274 + 30/274
= 1 + 30/274
= 1 30/274
304/274 = 1 30/274

Hence,
304/274 as a mixed number is 1 ³⁰/₂₇₄
where,
304/274 is a given fraction,
1 ³⁰/₂₇₄ is the mixed number representation of 304/274.

The below work with steps provide the detailed information about how to convert fraction 304/274 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/274

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/274.

step 2 The numerator is greater than the denominator of the fraction 304/274, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/274
= 274 + 30/274

step 3 Make the above expression as individual fractions:
= 274/274 + 30/274

step 4 Simplify the above expression:
= 1 x 274/274 + 30/274
= 1 + 30/274
= 1 + 15 x 2/137 x 2
= 1 + 15/137
1 + 15/137 can be written as a mixed number 1 ¹⁵/₁₃₇.


step 5 Find the decimal equivalent for the fractional part 15/137 in the above expression:
= 1 + 0.1095
= 1.1095
304/274 = 1.1095

Hence,
304/274 as a decimal is 1.1095
304/274 as a mixed number is 1 ¹⁵/₁₃₇