302/16 as a Decimal and Mixed Number

302/16 as a decimal and mixed number expansion provides the detailed information about what is 302/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

302/16 as a Decimal
302/16 = 18.875
Hence,
302/16 as a decimal equals to 18.875
where,
302/16 is a given fraction,
The decimal expansion of 302/16 is 18.875

302/16 as a Mixed Number
302/16 = (288 + 14)/16
= 288/16 + 14/16
= 18 + 14/16
= 18 14/16
302/16 = 18 14/16

Hence,
302/16 as a mixed number is 18 ¹⁴/₁₆
where,
302/16 is a given fraction,
18 ¹⁴/₁₆ is the mixed number representation of 302/16.

The below work with steps provide the detailed information about how to convert fraction 302/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 302/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 302/16.

step 2 The numerator is greater than the denominator of the fraction 302/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 302/16
= 288 + 14/16
= (18 x 16) + 14/16

step 3 Make the above expression as individual fractions:
= (18 x 16)/16 + 14/16

step 4 Simplify the above expression:
= 18 x 16/16 + 14/16
= 18 + 14/16
= 18 + 7 x 2/8 x 2
= 18 + 7/8
18 + 7/8 can be written as a mixed number 18 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 18 + (7/8 x 125/125)
= 18 + 875/1000

step 6 Simplify the above expression further:
= 18 + 0.875
= 18.875
302/16 = 18.875

Hence,
302/16 as a decimal is 18.875
302/16 as a mixed number is 18 ⁷/₈