306/300 as a Decimal and Mixed Number

306/300 as a decimal and mixed number expansion provides the detailed information about what is 306/300 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/300 as a Decimal
306/300 = 1.02
Hence,
306/300 as a decimal equals to 1.02
where,
306/300 is a given fraction,
The decimal expansion of 306/300 is 1.02

306/300 as a Mixed Number
306/300 = (300 + 6)/300
= 300/300 + 6/300
= 1 + 6/300
= 1 6/300
306/300 = 1 6/300

Hence,
306/300 as a mixed number is 1 ⁶/₃₀₀
where,
306/300 is a given fraction,
1 ⁶/₃₀₀ is the mixed number representation of 306/300.

The below work with steps provide the detailed information about how to convert fraction 306/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/300

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/300.

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

step 3 Make the above expression as individual fractions:
= 300/300 + 6/300

step 4 Simplify the above expression:
= 1 x 300/300 + 6/300
= 1 + 6/300
= 1 + 1 x 6/50 x 6
= 1 + 1/50
1 + 1/50 can be written as a mixed number 1 ¹/₅₀.


step 5 Find the decimal equivalent for the fractional part 1/50 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (1/50 x 2/2)
= 1 + 2/100

step 6 Simplify the above expression further:
= 1 + 0.02
= 1.02
306/300 = 1.02

Hence,
306/300 as a decimal is 1.02
306/300 as a mixed number is 1 ¹/₅₀