Question

What is the quotient of 4 and 2 over 3Division sign 2 over 3?

Answer 1

Answer:

quotient = 7

Step-by-step explanation:

We are asked to evaluate the following expression:

$4\frac{2}{3} \div \frac{2}{3}$

• To solve this we can first convert the mixed number $4\frac{2}{3}$  into an improper fraction:

$4\frac{2}{3}$  ⇒  $\frac{14}{3}$

• Next, we know that dividing by a fraction is the same as multiplying by its reciprocal (the reciprocal of a fraction is what is you get by swapping the numerator and denominator):

reciprocal of $\frac{2}{3}$ = $\frac{3}{2}$.

• Therefore, the expression now becomes:

$4\frac{2}{3} \div \frac{2}{3}$

⇒ $\frac {14}{3} \div \frac {2}{3}$

⇒  $\frac {14}{3} \times \frac {3}{2}$

⇒ 7

Answer 2

Answer:

The answer is 4 because the 2 over 3 is canceled out