243/72 as a Decimal and Mixed Number

243/72 as a decimal and mixed number expansion provides the detailed information about what is 243/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

243/72 as a Decimal
243/72 = 3.375
Hence,
243/72 as a decimal equals to 3.375
where,
243/72 is a given fraction,
The decimal expansion of 243/72 is 3.375

243/72 as a Mixed Number
243/72 = (216 + 27)/72
= 216/72 + 27/72
= 3 + 27/72
= 3 27/72
243/72 = 3 27/72

Hence,
243/72 as a mixed number is 3 ²⁷/₇₂
where,
243/72 is a given fraction,
3 ²⁷/₇₂ is the mixed number representation of 243/72.

The below work with steps provide the detailed information about how to convert fraction 243/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 243/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 243/72.

step 2 The numerator is greater than the denominator of the fraction 243/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 243/72
= 216 + 27/72
= (3 x 72) + 27/72

step 3 Make the above expression as individual fractions:
= (3 x 72)/72 + 27/72

step 4 Simplify the above expression:
= 3 x 72/72 + 27/72
= 3 + 27/72
= 3 + 3 x 9/8 x 9
= 3 + 3/8
3 + 3/8 can be written as a mixed number 3 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (3/8 x 125/125)
= 3 + 375/1000

step 6 Simplify the above expression further:
= 3 + 0.375
= 3.375
243/72 = 3.375

Hence,
243/72 as a decimal is 3.375
243/72 as a mixed number is 3 ³/₈