266/16 as a Decimal and Mixed Number

266/16 as a decimal and mixed number expansion provides the detailed information about what is 266/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

266/16 as a Decimal
266/16 = 16.625
Hence,
266/16 as a decimal equals to 16.625
where,
266/16 is a given fraction,
The decimal expansion of 266/16 is 16.625

266/16 as a Mixed Number
266/16 = (256 + 10)/16
= 256/16 + 10/16
= 16 + 10/16
= 16 10/16
266/16 = 16 10/16

Hence,
266/16 as a mixed number is 16 ¹⁰/₁₆
where,
266/16 is a given fraction,
16 ¹⁰/₁₆ is the mixed number representation of 266/16.

The below work with steps provide the detailed information about how to convert fraction 266/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 266/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 266/16.

step 2 The numerator is greater than the denominator of the fraction 266/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 266/16
= 256 + 10/16
= (16 x 16) + 10/16

step 3 Make the above expression as individual fractions:
= (16 x 16)/16 + 10/16

step 4 Simplify the above expression:
= 16 x 16/16 + 10/16
= 16 + 10/16
= 16 + 5 x 2/8 x 2
= 16 + 5/8
16 + 5/8 can be written as a mixed number 16 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 16 + (5/8 x 125/125)
= 16 + 625/1000

step 6 Simplify the above expression further:
= 16 + 0.625
= 16.625
266/16 = 16.625

Hence,
266/16 as a decimal is 16.625
266/16 as a mixed number is 16 ⁵/₈