306/144 as a Decimal and Mixed Number

306/144 as a decimal and mixed number expansion provides the detailed information about what is 306/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/144 as a Decimal
306/144 = 2.125
Hence,
306/144 as a decimal equals to 2.125
where,
306/144 is a given fraction,
The decimal expansion of 306/144 is 2.125

306/144 as a Mixed Number
306/144 = (288 + 18)/144
= 288/144 + 18/144
= 2 + 18/144
= 2 18/144
306/144 = 2 18/144

Hence,
306/144 as a mixed number is 2 ¹⁸/₁₄₄
where,
306/144 is a given fraction,
2 ¹⁸/₁₄₄ is the mixed number representation of 306/144.

The below work with steps provide the detailed information about how to convert fraction 306/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/144.

step 2 The numerator is greater than the denominator of the fraction 306/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/144
= 288 + 18/144
= (2 x 144) + 18/144

step 3 Make the above expression as individual fractions:
= (2 x 144)/144 + 18/144

step 4 Simplify the above expression:
= 2 x 144/144 + 18/144
= 2 + 18/144
= 2 + 1 x 18/8 x 18
= 2 + 1/8
2 + 1/8 can be written as a mixed number 2 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (1/8 x 125/125)
= 2 + 125/1000

step 6 Simplify the above expression further:
= 2 + 0.125
= 2.125
306/144 = 2.125

Hence,
306/144 as a decimal is 2.125
306/144 as a mixed number is 2 ¹/₈