244/16 as a decimal and mixed number expansion provides the detailed information about what is 244/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
244/16 as a Decimal
244/16 = 15.25
Hence,
244/16 as a decimal equals to 15.25
where,
244/16 is a given fraction,
The decimal expansion of 244/16 is 15.25
244/16 as a Mixed Number
244/16 = (240 + 4)/16
= 240/16 + 4/16
= 15 + 4/16
= 15 4/16
244/16 = 15 4/16
Hence,
244/16 as a mixed number is 15 4/16
where,
244/16 is a given fraction,
15 4/16 is the mixed number representation of 244/16.
The below work with steps provide the detailed information about how to convert fraction 244/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 244/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 244/16.
step 2 The numerator is greater than the denominator of the fraction 244/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 244/16
= 240 + 4/16
= (15 x 16) + 4/16
step 3 Make the above expression as individual fractions:
= (15 x 16)/16 + 4/16
step 4 Simplify the above expression:
= 15 x 16/16 + 4/16
= 15 + 4/16
= 15 + 1 x 4/4 x 4
= 15 + 1/4
15 + 1/4 can be written as a mixed number 15 1/4.
step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 15 + (1/4 x 25/25)
= 15 + 25/100
step 6 Simplify the above expression further:
= 15 + 0.25
= 15.25
244/16 = 15.25
Hence,
244/16 as a decimal is 15.25
244/16 as a mixed number is 15 1/4