220/72 as a Decimal and Mixed Number

220/72 as a decimal and mixed number expansion provides the detailed information about what is 220/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

220/72 as a Decimal
220/72 = 3.0556
Hence,
220/72 as a decimal equals to 3.0556
where,
220/72 is a given fraction,
The decimal expansion of 220/72 is 3.0556

220/72 as a Mixed Number
220/72 = (216 + 4)/72
= 216/72 + 4/72
= 3 + 4/72
= 3 4/72
220/72 = 3 4/72

Hence,
220/72 as a mixed number is 3 ⁴/₇₂
where,
220/72 is a given fraction,
3 ⁴/₇₂ is the mixed number representation of 220/72.

The below work with steps provide the detailed information about how to convert fraction 220/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 220/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 220/72.

step 2 The numerator is greater than the denominator of the fraction 220/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 220/72
= 216 + 4/72
= (3 x 72) + 4/72

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

step 4 Simplify the above expression:
= 3 x 72/72 + 4/72
= 3 + 4/72
= 3 + 1 x 4/18 x 4
= 3 + 1/18
3 + 1/18 can be written as a mixed number 3 ¹/₁₈.


step 5 Find the decimal equivalent for the fractional part 1/18 in the above expression:
= 3 + 0.0556
= 3.0556
220/72 = 3.0556

Hence,
220/72 as a decimal is 3.0556
220/72 as a mixed number is 3 ¹/₁₈