274/16 as a Decimal and Mixed Number

274/16 as a decimal and mixed number expansion provides the detailed information about what is 274/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

274/16 as a Decimal
274/16 = 17.125
Hence,
274/16 as a decimal equals to 17.125
where,
274/16 is a given fraction,
The decimal expansion of 274/16 is 17.125

274/16 as a Mixed Number
274/16 = (272 + 2)/16
= 272/16 + 2/16
= 17 + 2/16
= 17 2/16
274/16 = 17 2/16

Hence,
274/16 as a mixed number is 17 ²/₁₆
where,
274/16 is a given fraction,
17 ²/₁₆ is the mixed number representation of 274/16.

The below work with steps provide the detailed information about how to convert fraction 274/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 274/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 274/16.

step 2 The numerator is greater than the denominator of the fraction 274/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 274/16
= 272 + 2/16
= (17 x 16) + 2/16

step 3 Make the above expression as individual fractions:
= (17 x 16)/16 + 2/16

step 4 Simplify the above expression:
= 17 x 16/16 + 2/16
= 17 + 2/16
= 17 + 1 x 2/8 x 2
= 17 + 1/8
17 + 1/8 can be written as a mixed number 17 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 17 + (1/8 x 125/125)
= 17 + 125/1000

step 6 Simplify the above expression further:
= 17 + 0.125
= 17.125
274/16 = 17.125

Hence,
274/16 as a decimal is 17.125
274/16 as a mixed number is 17 ¹/₈