305/300 as a Decimal and Mixed Number

305/300 as a decimal and mixed number expansion provides the detailed information about what is 305/300 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

305/300 as a Decimal
305/300 = 1.0167
Hence,
305/300 as a decimal equals to 1.0167
where,
305/300 is a given fraction,
The decimal expansion of 305/300 is 1.0167

305/300 as a Mixed Number
305/300 = (300 + 5)/300
= 300/300 + 5/300
= 1 + 5/300
= 1 5/300
305/300 = 1 5/300

Hence,
305/300 as a mixed number is 1 ⁵/₃₀₀
where,
305/300 is a given fraction,
1 ⁵/₃₀₀ is the mixed number representation of 305/300.

The below work with steps provide the detailed information about how to convert fraction 305/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 305/300

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 305/300.

step 2 The numerator is greater than the denominator of the fraction 305/300, so write the given fraction in the expression form in terms of denominator as like the below:
= 305/300
= 300 + 5/300

step 3 Make the above expression as individual fractions:
= 300/300 + 5/300

step 4 Simplify the above expression:
= 1 x 300/300 + 5/300
= 1 + 5/300
= 1 + 1 x 5/60 x 5
= 1 + 1/60
1 + 1/60 can be written as a mixed number 1 ¹/₆₀.


step 5 Find the decimal equivalent for the fractional part 1/60 in the above expression:
= 1 + 0.0167
= 1.0167
305/300 = 1.0167

Hence,
305/300 as a decimal is 1.0167
305/300 as a mixed number is 1 ¹/₆₀