324/272 as a Decimal and Mixed Number

324/272 as a decimal and mixed number expansion provides the detailed information about what is 324/272 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

324/272 as a Decimal
324/272 = 1.1912
Hence,
324/272 as a decimal equals to 1.1912
where,
324/272 is a given fraction,
The decimal expansion of 324/272 is 1.1912

324/272 as a Mixed Number
324/272 = (272 + 52)/272
= 272/272 + 52/272
= 1 + 52/272
= 1 52/272
324/272 = 1 52/272

Hence,
324/272 as a mixed number is 1 ⁵²/₂₇₂
where,
324/272 is a given fraction,
1 ⁵²/₂₇₂ is the mixed number representation of 324/272.

The below work with steps provide the detailed information about how to convert fraction 324/272 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/272

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/272.

step 2 The numerator is greater than the denominator of the fraction 324/272, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/272
= 272 + 52/272

step 3 Make the above expression as individual fractions:
= 272/272 + 52/272

step 4 Simplify the above expression:
= 1 x 272/272 + 52/272
= 1 + 52/272
= 1 + 13 x 4/68 x 4
= 1 + 13/68
1 + 13/68 can be written as a mixed number 1 ¹³/₆₈.


step 5 Find the decimal equivalent for the fractional part 13/68 in the above expression:
= 1 + 0.1912
= 1.1912
324/272 = 1.1912

Hence,
324/272 as a decimal is 1.1912
324/272 as a mixed number is 1 ¹³/₆₈