304/144 as a Decimal and Mixed Number

304/144 as a decimal and mixed number expansion provides the detailed information about what is 304/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/144 as a Decimal
304/144 = 2.1111
Hence,
304/144 as a decimal equals to 2.1111
where,
304/144 is a given fraction,
The decimal expansion of 304/144 is 2.1111

304/144 as a Mixed Number
304/144 = (288 + 16)/144
= 288/144 + 16/144
= 2 + 16/144
= 2 16/144
304/144 = 2 16/144

Hence,
304/144 as a mixed number is 2 ¹⁶/₁₄₄
where,
304/144 is a given fraction,
2 ¹⁶/₁₄₄ is the mixed number representation of 304/144.

The below work with steps provide the detailed information about how to convert fraction 304/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/144.

step 2 The numerator is greater than the denominator of the fraction 304/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/144
= 288 + 16/144
= (2 x 144) + 16/144

step 3 Make the above expression as individual fractions:
= (2 x 144)/144 + 16/144

step 4 Simplify the above expression:
= 2 x 144/144 + 16/144
= 2 + 16/144
= 2 + 1 x 16/9 x 16
= 2 + 1/9
2 + 1/9 can be written as a mixed number 2 ¹/₉.


step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
= 2 + 0.1111
= 2.1111
304/144 = 2.1111

Hence,
304/144 as a decimal is 2.1111
304/144 as a mixed number is 2 ¹/₉