324/72 as a Decimal and Mixed Number

324/72 as a decimal and mixed number expansion provides the detailed information about what is 324/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

324/72 as a Decimal
324/72 = 4.5
Hence,
324/72 as a decimal equals to 4.5
where,
324/72 is a given fraction,
The decimal expansion of 324/72 is 4.5

324/72 as a Mixed Number
324/72 = (288 + 36)/72
= 288/72 + 36/72
= 4 + 36/72
= 4 36/72
324/72 = 4 36/72

Hence,
324/72 as a mixed number is 4 ³⁶/₇₂
where,
324/72 is a given fraction,
4 ³⁶/₇₂ is the mixed number representation of 324/72.

The below work with steps provide the detailed information about how to convert fraction 324/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/72.

step 2 The numerator is greater than the denominator of the fraction 324/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/72
= 288 + 36/72
= (4 x 72) + 36/72

step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 36/72

step 4 Simplify the above expression:
= 4 x 72/72 + 36/72
= 4 + 36/72
= 4 + 1 x 36/2 x 36
= 4 + 1/2
4 + 1/2 can be written as a mixed number 4 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 4 + (1/2 x 5/5)
= 4 + 5/10

step 6 Simplify the above expression further:
= 4 + 0.5
= 4.5
324/72 = 4.5

Hence,
324/72 as a decimal is 4.5
324/72 as a mixed number is 4 ¹/₂