306/36 as a Decimal and Mixed Number

306/36 as a decimal and mixed number expansion provides the detailed information about what is 306/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/36 as a Decimal
306/36 = 8.5
Hence,
306/36 as a decimal equals to 8.5
where,
306/36 is a given fraction,
The decimal expansion of 306/36 is 8.5

306/36 as a Mixed Number
306/36 = (288 + 18)/36
= 288/36 + 18/36
= 8 + 18/36
= 8 18/36
306/36 = 8 18/36

Hence,
306/36 as a mixed number is 8 ¹⁸/₃₆
where,
306/36 is a given fraction,
8 ¹⁸/₃₆ is the mixed number representation of 306/36.

The below work with steps provide the detailed information about how to convert fraction 306/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/36

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/36.

step 2 The numerator is greater than the denominator of the fraction 306/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/36
= 288 + 18/36
= (8 x 36) + 18/36

step 3 Make the above expression as individual fractions:
= (8 x 36)/36 + 18/36

step 4 Simplify the above expression:
= 8 x 36/36 + 18/36
= 8 + 18/36
= 8 + 1 x 18/2 x 18
= 8 + 1/2
8 + 1/2 can be written as a mixed number 8 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 8 + (1/2 x 5/5)
= 8 + 5/10

step 6 Simplify the above expression further:
= 8 + 0.5
= 8.5
306/36 = 8.5

Hence,
306/36 as a decimal is 8.5
306/36 as a mixed number is 8 ¹/₂