306/30 as a Decimal and Mixed Number

306/30 as a decimal and mixed number expansion provides the detailed information about what is 306/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/30 as a Decimal
306/30 = 10.2
Hence,
306/30 as a decimal equals to 10.2
where,
306/30 is a given fraction,
The decimal expansion of 306/30 is 10.2

306/30 as a Mixed Number
306/30 = (300 + 6)/30
= 300/30 + 6/30
= 10 + 6/30
= 10 6/30
306/30 = 10 6/30

Hence,
306/30 as a mixed number is 10 ⁶/₃₀
where,
306/30 is a given fraction,
10 ⁶/₃₀ is the mixed number representation of 306/30.

The below work with steps provide the detailed information about how to convert fraction 306/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/30.

step 2 The numerator is greater than the denominator of the fraction 306/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/30
= 300 + 6/30
= (10 x 30) + 6/30

step 3 Make the above expression as individual fractions:
= (10 x 30)/30 + 6/30

step 4 Simplify the above expression:
= 10 x 30/30 + 6/30
= 10 + 6/30
= 10 + 1 x 6/5 x 6
= 10 + 1/5
10 + 1/5 can be written as a mixed number 10 ¹/₅.


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

step 6 Simplify the above expression further:
= 10 + 0.2
= 10.2
306/30 = 10.2

Hence,
306/30 as a decimal is 10.2
306/30 as a mixed number is 10 ¹/₅