Question

Perform the operation and simplify the answer fully.

start fraction, 2, divided by, 3, end fraction, divided by, start fraction, 5, divided by, 3, end fraction
3
2
​
÷
3
5
​

Answer 1

Explanation:

To perform the given operation and simplify the answer fully, follow these steps:

Start with the expression:

(2/3) / (5/3)

To divide fractions, you can multiply the first fraction by the reciprocal (flipped version) of the second fraction:

(2/3) * (3/5)

Now, multiply the numerators together and the denominators together:

(2 * 3) / (3 * 5)

This simplifies to:

6/15

To further simplify the fraction, you can find the greatest common divisor (GCD) of the numerator and the denominator, which is 3. Divide both the numerator and denominator by 3:

(6 ÷ 3) / (15 ÷ 3) = 2/5

So, the final simplified answer is 2/5.