Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

start fraction, 4, divided by, 5, end fraction, divided by, 2
5
4

÷2

1 answer

To solve this expression, we need to apply the division operation first and then simplify the resulting fraction.

Starting with the expression:
(4/5) ÷ 2

To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 2 is 1/2.

So, let's rewrite the expression:
(4/5) × (1/2)

When multiplying fractions, we multiply the numerators together and the denominators together.
4 × 1 = 4
5 × 2 = 10

Therefore, the simplified answer is 4/10.

However, we can further simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
4 ÷ 2 = 2
10 ÷ 2 = 5

So, the final answer is 2/5.