4 2/3 as an Improper Fraction – Step by Step Explanation

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:

1. The fraction 4 \frac{2}{3} is read as “4 whole 2 upon 3”. We first multiply the whole number by the denominator. So we get 4 \times 3 = 12.
2. We now add the numerator to the above result in order to get 12 + 2 = 14.
3. The answer in the previous step (that is, 14) becomes our numerator and the denominator(=3) stays the same. The final answer becomes, \begin{align*}4 \frac{2}{3} &= \frac{(4 \times 3) +2}{3} \\ &= \frac{12+2}{3} \\ &= \frac{14}{3}\end{align*}

Method 2:

We simply write the fraction 4 \frac{2}{3} as 4 + \frac{2}{3} and add the two numbers in the usual way. So we have that, \begin{align*}4 \frac{2}{3} &= \frac{4}{1} + \frac{2}{3} \\ &= \frac{12}{3} + \frac{2}{3} \text{ (making the denominators equal in order to add)} \\ &= \frac{12+2}{3} \\ &= \frac{14}{3}\end{align*}