7/3 as a decimal and mixed number expansion provides the detailed information about what is 7/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.**7/3 as a Decimal Expansion**

7/3 = 2.3333

Hence,

7/3 as a decimal equals to **2.3333**

__where,__

7/3 is a given fraction,

The decimal expansion of 7/3 is 2.3333

**7/3 as a Mixed Number**

7/3 = (6 + 1)/3

= 6/3 + 1/3

= 2 + 1/3

= 2 1/3

7/3 = 2 1/3

Hence,

7/3 as a mixed number is **2 ^{1}/_{3}**

7/3 is a given fraction,

2

The below work with steps provide the detailed information about how to convert fraction 7/3 as a decimal equivalent.

step 1 Address the input parameters and observe what to be found:__Input values:__

The fraction = 7/3__What to be found:__

Find the equivalent decimal expansion and mixed number for fraction 7/3.

step 2 The numerator is greater than the denominator of the fraction 7/3, so write the given fraction in the expression form in terms of denominator as like the below:

= 7/3

= 6 + 1/3

= (2 x 3) + 1/3

step 3 Make the above expression as individual fractions:

= (2 x 3)/3 + 1/3

step 4 Simplify the above expression:

= 2 x 3/3 + 1/3

= 2 + 1/3

2 + 1/3 can be written as a mixed number 2 ^{1}/_{3}.

step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:

Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/3. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/3.

= 2 + (1/3 x 10/10)

step 6 Simplify the above expression further:

= 2 + (10/3 x 1/10)

= 2 + (9 + 1/3 x 1/10)

= 2 + [(9/3 + 1/3 ) x 1/10]

= 2 + [(3 + 1/3) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/3 in the above expression:

= 2 + [(3 + 1/3) x 1/10]

= 2 + [(3 + 0.33) x 1/10]

= 2 + (3.33 x 1/10)

= 2 + 3.33/10

= 2 + 0.333

step 8 Find the sum of above expression:

= 2 + 0.333

= 2.333

7/3 = 2.333

Hence,

7/3 as a decimal is 2.333

7/3 as a mixed number is 2 ^{1}/_{3}