304/37 as a Decimal and Mixed Number

304/37 as a decimal and mixed number expansion provides the detailed information about what is 304/37 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/37 as a Decimal
304/37 = 8.2162
Hence,
304/37 as a decimal equals to 8.2162
where,
304/37 is a given fraction,
The decimal expansion of 304/37 is 8.2162

304/37 as a Mixed Number
304/37 = (296 + 8)/37
= 296/37 + 8/37
= 8 + 8/37
= 8 8/37
304/37 = 8 8/37

Hence,
304/37 as a mixed number is 8 ⁸/₃₇
where,
304/37 is a given fraction,
8 ⁸/₃₇ is the mixed number representation of 304/37.

The below work with steps provide the detailed information about how to convert fraction 304/37 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/37

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/37.

step 2 The numerator is greater than the denominator of the fraction 304/37, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/37
= 296 + 8/37
= (8 x 37) + 8/37

step 3 Make the above expression as individual fractions:
= (8 x 37)/37 + 8/37

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


step 5 Find the decimal equivalent for the fractional part 8/37 in the above expression:
= 8 + 0.2162
= 8.2162
304/37 = 8.2162

Hence,
304/37 as a decimal is 8.2162
304/37 as a mixed number is 8 ⁸/₃₇