312/144 as a Decimal and Mixed Number

312/144 as a decimal and mixed number expansion provides the detailed information about what is 312/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/144 as a Decimal
312/144 = 2.1667
Hence,
312/144 as a decimal equals to 2.1667
where,
312/144 is a given fraction,
The decimal expansion of 312/144 is 2.1667

312/144 as a Mixed Number
312/144 = (288 + 24)/144
= 288/144 + 24/144
= 2 + 24/144
= 2 24/144
312/144 = 2 24/144

Hence,
312/144 as a mixed number is 2 ²⁴/₁₄₄
where,
312/144 is a given fraction,
2 ²⁴/₁₄₄ is the mixed number representation of 312/144.

The below work with steps provide the detailed information about how to convert fraction 312/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/144.

step 2 The numerator is greater than the denominator of the fraction 312/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/144
= 288 + 24/144
= (2 x 144) + 24/144

step 3 Make the above expression as individual fractions:
= (2 x 144)/144 + 24/144

step 4 Simplify the above expression:
= 2 x 144/144 + 24/144
= 2 + 24/144
= 2 + 1 x 24/6 x 24
= 2 + 1/6
2 + 1/6 can be written as a mixed number 2 ¹/₆.


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 2 + 0.1667
= 2.1667
312/144 = 2.1667

Hence,
312/144 as a decimal is 2.1667
312/144 as a mixed number is 2 ¹/₆