337/16 as a Decimal and Mixed Number

337/16 as a decimal and mixed number expansion provides the detailed information about what is 337/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

337/16 as a Decimal
337/16 = 21.0625
Hence,
337/16 as a decimal equals to 21.0625
where,
337/16 is a given fraction,
The decimal expansion of 337/16 is 21.0625

337/16 as a Mixed Number
337/16 = (336 + 1)/16
= 336/16 + 1/16
= 21 + 1/16
= 21 1/16
337/16 = 21 1/16

Hence,
337/16 as a mixed number is 21 ¹/₁₆
where,
337/16 is a given fraction,
21 ¹/₁₆ is the mixed number representation of 337/16.

The below work with steps provide the detailed information about how to convert fraction 337/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 337/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 337/16.

step 2 The numerator is greater than the denominator of the fraction 337/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 337/16
= 336 + 1/16
= (21 x 16) + 1/16

step 3 Make the above expression as individual fractions:
= (21 x 16)/16 + 1/16

step 4 Simplify the above expression:
= 21 x 16/16 + 1/16
= 21 + 1/16
21 + 1/16 can be written as a mixed number 21 ¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 1/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 21 + (1/16 x 625/625)
= 21 + 625/10000

step 6 Simplify the above expression further:
= 21 + 0.0625
= 21.0625
337/16 = 21.0625

Hence,
337/16 as a decimal is 21.0625
337/16 as a mixed number is 21 ¹/₁₆