220/16 as a Decimal and Mixed Number

220/16 as a decimal and mixed number expansion provides the detailed information about what is 220/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

220/16 as a Decimal
220/16 = 13.75
Hence,
220/16 as a decimal equals to 13.75
where,
220/16 is a given fraction,
The decimal expansion of 220/16 is 13.75

220/16 as a Mixed Number
220/16 = (208 + 12)/16
= 208/16 + 12/16
= 13 + 12/16
= 13 12/16
220/16 = 13 12/16

Hence,
220/16 as a mixed number is 13 ¹²/₁₆
where,
220/16 is a given fraction,
13 ¹²/₁₆ is the mixed number representation of 220/16.

The below work with steps provide the detailed information about how to convert fraction 220/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 220/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 220/16.

step 2 The numerator is greater than the denominator of the fraction 220/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 220/16
= 208 + 12/16
= (13 x 16) + 12/16

step 3 Make the above expression as individual fractions:
= (13 x 16)/16 + 12/16

step 4 Simplify the above expression:
= 13 x 16/16 + 12/16
= 13 + 12/16
= 13 + 3 x 4/4 x 4
= 13 + 3/4
13 + 3/4 can be written as a mixed number 13 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 13 + (3/4 x 25/25)
= 13 + 75/100

step 6 Simplify the above expression further:
= 13 + 0.75
= 13.75
220/16 = 13.75

Hence,
220/16 as a decimal is 13.75
220/16 as a mixed number is 13 ³/₄