301/3 as a Decimal and Mixed Number

301/3 as a decimal and mixed number expansion provides the detailed information about what is 301/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

301/3 as a Decimal
301/3 = 100.3333
Hence,
301/3 as a decimal equals to 100.3333
where,
301/3 is a given fraction,
The decimal expansion of 301/3 is 100.3333

301/3 as a Mixed Number
301/3 = (300 + 1)/3
= 300/3 + 1/3
= 100 + 1/3
= 100 1/3
301/3 = 100 1/3

Hence,
301/3 as a mixed number is 100 ¹/₃
where,
301/3 is a given fraction,
100 ¹/₃ is the mixed number representation of 301/3.

The below work with steps provide the detailed information about how to convert fraction 301/3 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 301/3

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 301/3.

step 2 The numerator is greater than the denominator of the fraction 301/3, so write the given fraction in the expression form in terms of denominator as like the below:
= 301/3
= 300 + 1/3
= (100 x 3) + 1/3

step 3 Make the above expression as individual fractions:
= (100 x 3)/3 + 1/3

step 4 Simplify the above expression:
= 100 x 3/3 + 1/3
= 100 + 1/3
100 + 1/3 can be written as a mixed number 100 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 100 + 0.3333
= 100.3333
301/3 = 100.3333

Hence,
301/3 as a decimal is 100.3333
301/3 as a mixed number is 100 ¹/₃