253/16 as a Decimal and Mixed Number

253/16 as a decimal and mixed number expansion provides the detailed information about what is 253/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

253/16 as a Decimal
253/16 = 15.8125
Hence,
253/16 as a decimal equals to 15.8125
where,
253/16 is a given fraction,
The decimal expansion of 253/16 is 15.8125

253/16 as a Mixed Number
253/16 = (240 + 13)/16
= 240/16 + 13/16
= 15 + 13/16
= 15 13/16
253/16 = 15 13/16

Hence,
253/16 as a mixed number is 15 ¹³/₁₆
where,
253/16 is a given fraction,
15 ¹³/₁₆ is the mixed number representation of 253/16.

The below work with steps provide the detailed information about how to convert fraction 253/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 253/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 253/16.

step 2 The numerator is greater than the denominator of the fraction 253/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 253/16
= 240 + 13/16
= (15 x 16) + 13/16

step 3 Make the above expression as individual fractions:
= (15 x 16)/16 + 13/16

step 4 Simplify the above expression:
= 15 x 16/16 + 13/16
= 15 + 13/16
15 + 13/16 can be written as a mixed number 15 ¹³/₁₆.


step 5 Find the decimal equivalent for the fractional part 13/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 15 + (13/16 x 625/625)
= 15 + 8125/10000

step 6 Simplify the above expression further:
= 15 + 0.8125
= 15.8125
253/16 = 15.8125

Hence,
253/16 as a decimal is 15.8125
253/16 as a mixed number is 15 ¹³/₁₆