225/72 as a Decimal and Mixed Number

225/72 as a decimal and mixed number expansion provides the detailed information about what is 225/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

225/72 as a Decimal
225/72 = 3.125
Hence,
225/72 as a decimal equals to 3.125
where,
225/72 is a given fraction,
The decimal expansion of 225/72 is 3.125

225/72 as a Mixed Number
225/72 = (216 + 9)/72
= 216/72 + 9/72
= 3 + 9/72
= 3 9/72
225/72 = 3 9/72

Hence,
225/72 as a mixed number is 3 ⁹/₇₂
where,
225/72 is a given fraction,
3 ⁹/₇₂ is the mixed number representation of 225/72.

The below work with steps provide the detailed information about how to convert fraction 225/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 225/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 225/72.

step 2 The numerator is greater than the denominator of the fraction 225/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 225/72
= 216 + 9/72
= (3 x 72) + 9/72

step 3 Make the above expression as individual fractions:
= (3 x 72)/72 + 9/72

step 4 Simplify the above expression:
= 3 x 72/72 + 9/72
= 3 + 9/72
= 3 + 1 x 9/8 x 9
= 3 + 1/8
3 + 1/8 can be written as a mixed number 3 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:
= 3 + (1/8 x 125/125)
= 3 + 125/1000

step 6 Simplify the above expression further:
= 3 + 0.125
= 3.125
225/72 = 3.125

Hence,
225/72 as a decimal is 3.125
225/72 as a mixed number is 3 ¹/₈