The value of 4 2/3 as an improper fraction is equal to 14/3. We can convert any mixed fraction to an improper fraction by following the steps enumerated below.
We have two methods using which we can convert a mixed fraction to an improper fraction. We explain both methods below.
Method 1:
The fraction 4 3/2 is read as “4 whole 2 upon 3”. We first multiply the whole number by the denominator. So we get 4 * 3 = 12.
We now add the numerator to the above result in order to get 12 + 2 = 14.
The answer in the previous step (that is, 14) becomes our numerator and the denominator (=3) stays the same. The final answer becomes,
4 2/3 = [(4*3)+2]/3 = 12+2/3 = 14/3.
Method 2:
We simply write the fraction 4 2/3 as 4 +2/3 and add the two numbers in the usual way. So we have that,
4 2/3= 4/1 + 2/3 = 12/2 + 2/3.
(making the denominators equal in order to add).
4 2/3 = 12+2/3 = 14/3.