272/144 as a Decimal and Mixed Number

272/144 as a decimal and mixed number expansion provides the detailed information about what is 272/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/144 as a Decimal
272/144 = 1.8889
Hence,
272/144 as a decimal equals to 1.8889
where,
272/144 is a given fraction,
The decimal expansion of 272/144 is 1.8889

272/144 as a Mixed Number
272/144 = (144 + 128)/144
= 144/144 + 128/144
= 1 + 128/144
= 1 128/144
272/144 = 1 128/144

Hence,
272/144 as a mixed number is 1 ¹²⁸/₁₄₄
where,
272/144 is a given fraction,
1 ¹²⁸/₁₄₄ is the mixed number representation of 272/144.

The below work with steps provide the detailed information about how to convert fraction 272/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/144.

step 2 The numerator is greater than the denominator of the fraction 272/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/144
= 144 + 128/144

step 3 Make the above expression as individual fractions:
= 144/144 + 128/144

step 4 Simplify the above expression:
= 1 x 144/144 + 128/144
= 1 + 128/144
= 1 + 8 x 16/9 x 16
= 1 + 8/9
1 + 8/9 can be written as a mixed number 1 ⁸/₉.


step 5 Find the decimal equivalent for the fractional part 8/9 in the above expression:
= 1 + 0.8889
= 1.8889
272/144 = 1.8889

Hence,
272/144 as a decimal is 1.8889
272/144 as a mixed number is 1 ⁸/₉